Last update August 16, 2024 List of sum of fifth powers compiled by Patrick De Geest --------------------------------------------------------------- Still no solutions for n < 144 [2],[3],(5),7,9,15,16,(18),26,27,(28),(29),[33],37,38,39,40,41,48,49, 51,55,58,59,60,(61),(62),[63],(66),72,73,80,81,82,84,90,91,93,[96],(97), 103,104,105,106,(110),112,113,114,116,117,121,125,126,(127),132,134,135,136,137,138,139,(140),(141), --------------------------------------------------------------- 0 = 0^5 0^5+m^5+(-m)^5+k^5+(-k)^5 (27.k)^5+(84.k)^5+(110.k)^5+(133.k)^5+(-144.k)^5 (-220)^5+5027^5+6237^5+14068^5+(-14132)^5 55^5+3183^5+28969^5+85282^5+(-85359)^5 1 = 1^5 1^5+m^5+(-m)^5+k^5+(-k)^5 38^5+47^5+(-89)^5+(-118)^5+123^5 16^5+(-127)^5+310^5+412^5+(-430)^5 (-151)^5+(-317)^5+541^5+551^5+(-623)^5 (-63)^5+(-475)^5+571^5+675^5+(-707)^5 5^5+(-328)^5+388^5+705^5+(-709)^5 59^5+511^5+(-588)^5+(-772)^5+791^5 401^5+(-561)^5+616^5+1146^5+(-1151)^5 2 = 0^5+1^5+1^5+k^5+(-k)^5 3 = 1^5+1^5+1^5+k^5+(-k)^5 4 = 0^5+1^5+1^5+1^5+1^5 251^5+(-264)^5+441^5+540^5+(-574)^5 5 = 1^5+1^5+1^5+1^5+1^5 6 = 7^5+13^5+(-15)^5+(-16)^5+17^5 8 = 18^5+(-38)^5+65^5+71^5+(-78)^5 10 = (-1)^5+(-1)^5+13^5+16^5+(-17)^5 11 = 0^5+(-1)^5+13^5+16^5+(-17)^5 (-8)^5+22^5+29^5+39^5+(-41)^5 12 = 13^5+16^5+(-17)^5+k^5+(-k)^5 3^5+4^5+6^5+6^5+(-7)^5 16^5+(-35)^5+95^5+138^5+(-142)^5 13 = 0^5+1^5+13^5+16^5+(-17)^5 39^5+(-481)^5+487^5+636^5+(-638)^5 14 = 2^5+(-7)^5+(-13)^5+(-13)^5+15^5 1^5+1^5+13^5+16^5+(-17)^5 8^5+(-13)^5+20^5+27^5+(-28)^5 17 = (-1)^5+7^5+13^5+13^5+(-15)^5 18 = 0^5+7^5+13^5+13^5+(-15)^5 19 = 1^5+7^5+13^5+13^5+(-15)^5 (-1)^5+2^5+(-13)^5+(-16)^5+17^5 19^5+(-20)^5+29^5+41^5+(-42)^5 20 = 0^5+2^5+(-13)^5+(-16)^5+17^5 (-15)^5+23^5+46^5+55^5+(-59)^5 21 = (-2)^5+(-4)^5+(-4)^5+(-4)^5+5^5 1^5+2^5+(-13)^5+(-16)^5+17^5 (-35)^5+(-64)^5+153^5+271^5+(-274)^5 22 = 4^5+(-28)^5+79^5+118^5+(-121)^5 23 = (-23)^5+(-30)^5+78^5+129^5+(-131)^5 24 = 9^5+(-49)^5+102^5+124^5+(-132)^5 25 = 14^5+31^5+(-57)^5+(-60)^5+67^5 (-270)^5+(-274)^5+339^5+411^5+(-421)^5 28 = (-1)^5+(-1)^5+(-1)^5+(-1)^5+2^5 29 = 0^5+(-1)^5+(-1)^5+(-1)^5+2^5 30 = (-1)^5+(-1)^5+2^5+k^5+(-k)^5 (-12)^5+46^5+(-665)^5+(-777)^5+838^5 31 = 0^5+(-1)^5+2^5+k^5+(-k)^5 10^5+(-20)^5+(-20)^5+(-33)^5+34^5 (-20)^5+29^5+(-40)^5+(-53)^5+55^5 512^5+543^5+612^5+634^5+(-770)^5 32 = 2^5 2^5+m^5+(-m)^5+k^5+(-k)^5 76^5+94^5+(-178)^5+(-236)^5+246^5 35^5+(-97)^5+125^5+257^5+(-258)^5 (-43)^5+(-257)^5+322^5+381^5+(-401)^5 (-104)^5+(-213)^5+332^5+478^5+(-491)^5 (-298)^5+(-351)^5+(-474)^5+(-500)^5+575^5 32^5+(-254)^5+620^5+824^5+(-860)^5 314^5+416^5+(-751)^5+(-1169)^5+1192^5 59^5+(-100)^5+1086^5+1132^5+(-1275)^5 (-126)^5+(-950)^5+1142^5+1350^5+(-1414)^5 10^5+(-656)^5+776^5+1410^5+(-1418)^5 118^5+1022^5+(-1176)^5+(-1544)^5+1582^5 (-205)^5+831^5+(-1360)^5+(-2051)^5+2097^5 33 = 0^5+1^5+2^5+k^5+(-k)^5 34 = 1^5+1^5+2^5+k^5+(-k)^5 3^5+(-12)^5+14^5+15^5+(-16)^5 8^5+12^5+(-18)^5+(-19)^5+21^5 (-8)^5+(-13)^5+28^5+31^5+(-34)^5 3^5+(-5)^5+39^5+48^5+(-51)^5 35 = 0^5+1^5+1^5+1^5+2^5 (-21)^5+25^5+33^5+45^5+(-47)^5 36 = 1^5+1^5+1^5+1^5+2^5 64^5+(-109)^5+(-140)^5+(-182)^5+193^5 42 = (-181)^5+(-445)^5+(-726)^5+(-977)^5+1021^5 43 = (-1)^5+2^5+13^5+16^5+(-17)^5 (-21)^5+31^5+40^5+40^5+(-47)^5 (-30)^5+(-69)^5+(-82)^5+(-86)^5+100^5 (-91)^5+(-179)^5+(-183)^5+(-257)^5+273^5 95^5+185^5+(-254)^5+(-306)^5+323^5 460^5+(-1002)^5+1275^5+1648^5+(-1708)^5 44 = 0^5+2^5+13^5+16^5+(-17)^5 (-17)^5+18^5+(-83)^5+(-104)^5+110^5 45 = 1^5+2^5+13^5+16^5+(-17)^5 (-662)^5+730^5+1165^5+1721^5+(-1769)^5 46 = 4^5+4^5+9^5+10^5+(-11)^5 47 = (-14)^5+27^5+37^5+47^5+(-50)^5 (-41)^5+45^5+75^5+124^5+(-126)^5 50 = 2^5+7^5+13^5+13^5+(-15)^5 52 = (-3)^5+(-3)^5+(-3)^5+(-3)^5+4^5 (-1)^5+(-4)^5+(-4)^5+(-4)^5+5^5 2^5+2^5+(-13)^5+(-16)^5+17^5 53 = 0^5+(-4)^5+(-4)^5+(-4)^5+5^5 41^5+(-89)^5+(-143)^5+(-237)^5+241^5 54 = 1^5+(-4)^5+(-4)^5+(-4)^5+5^5 8^5+(-52)^5+78^5+79^5+(-89)^5 152^5+266^5+327^5+1007^5+(-1008)^5 56 = (-5)^5+(-28)^5+30^5+34^5+(-35)^5 49^5+(-106)^5+116^5+150^5+(-153)^5 57 = 47^5+(-70)^5+86^5+99^5+(-105)^5 61 = (-1)^5+(-1)^5+(-1)^5+2^5+2^5 62 = 0^5+(-1)^5+(-1)^5+2^5+2^5 63 = (-1)^5+2^5+2^5+k^5+(-k)^5 64 = 0^5+2^5+2^5+k^5+(-k)^5 16^5+22^5+29^5+35^5+(-38)^5 19^5+(-101)^5+149^5+253^5+(-256)^5 65 = 1^5+2^5+2^5+k^5+(-k)^5 3^5+(-4)^5+7^5+7^5+(-8)^5 66 = 0^5+1^5+1^5+2^5+2^5 67 = 1^5+1^5+1^5+2^5+2^5 73^5+(-101)^5+(-151)^5+(-229)^5+235^5 15^5+(-182)^5+205^5+424^5+(-425)^5 575^5+(-747)^5+(-930)^5+(-961)^5+1110^5 68 = 13^5+22^5+34^5+56^5+(-57)^5 25^5+55^5+(-136)^5+(-217)^5+221^5 (-42)^5+64^5+(-105)^5+(-220)^5+221^5 (-43)^5+(-62)^5+840^5+1023^5+(-1090)^5 69 = 3^5+(-5)^5+42^5+71^5+(-72)^5 20^5+(-67)^5+125^5+155^5+(-164)^5 62^5+147^5+504^5+819^5+(-833)^5 636^5+715^5+(-1001)^5+(-1014)^5+1123^5 70 = (-18)^5+44^5+47^5+70^5+(-73)^5 71 = (-32)^5+(-40)^5+56^5+71^5+(-74)^5 74 = (-36)^5+149^5+362^5+576^5+(-587)^5 55^5+315^5+(-543)^5+(-1056)^5+1063^5 75 = 20^5+(-42)^5+182^5+187^5+(-212)^5 39^5+101^5+183^5+267^5+(-275)^5 (-41)^5+106^5+(-243)^5+(-330)^5+343^5 76 = 2^5+2^5+13^5+16^5+(-17)^5 143^5+(-249)^5+(-341)^5+(-533)^5+546^5 77 = 74^5+168^5+144^5+253^5+(-262)^5 78 = (-2)^5+6^5+16^5+17^5+(-19)^5 79 = (-96)^5+(-186)^5+335^5+374^5+(-408)^5 83 = (-4)^5+10^5+(-15)^5+(-15)^5+17^5 85 = 2^5+(-4)^5+(-4)^5+(-4)^5+5^5 86 = (-42)^5+121^5+160^5+304^5+(-307)^5 241^5+568^5+728^5+1045^5+(-1086)^5 87 = (-8)^5+44^5+55^5+74^5+(-78)^5 (-107)^5+118^5+120^5+141^5+(-155)^5 86^5+(-87)^5+90^5+153^5+(-155)^5 (-73)^5+204^5+224^5+270^5+(-298)^5 88 = (-6)^5+17^5+20^5+22^5+(-25)^5 89 = 95^5+749^5+787^5+961^5+(-1063)^5 185^5+504^5+(-573)^5+(-1178)^5+1181^5 92 = 12^5+(-18)^5+(-94)^5+(-99)^5+111^5 94 = (-1)^5+(-1)^5+2^5+2^5+2^5 10^5+(-47)^5+233^5+321^5+(-333)^5 95 = 0^5+(-1)^5+2^5+2^5+2^5 (-110)^5+420^5+(-444)^5+(-449)^5+468^5 96 = 2^5+2^5+2^5+k^5+(-k)^5 97 = 0^5+1^5+2^5+2^5+2^5 98 = 1^5+1^5+2^5+2^5+2^5 6^5+(-13)^5+17^5+17^5+(-19)^5 (-6)^5+(-20)^5+(-31)^5+(-31)^5+36^5 14^5+28^5+57^5+105^5+(-106)^5 12^5+(-141)^5+255^5+278^5+(-306)^5 79^5+(-114)^5+254^5+675^5+(-676)^5 99 = (-4)^5+5^5+9^5+10^5+(-11)^5 5^5+25^5+73^5+99^5+(-103)^5 30^5+(-88)^5+104^5+115^5+(-122)^5 100 = (-45)^5+(-173)^5+323^5+603^5+(-608)^5 101 = (-55)^5+(-226)^5+461^5+511^5+(-560)^5 411^5+(-475)^5+(-550)^5+(-576)^5+661^5 102 = 3^5+3^5+(-26)^5+(-32)^5+34^5 107 = 10^5+10^5+123^5+172^5+(-178)^5 108 = 7^5+21^5+22^5+30^5+(-32)^5 (-9)^5+22^5+(-27)^5+(-30)^5+32^5 109 = (-1)^5+6^5+16^5+17^5+(-19)^5 (-2)^5+(-3)^5+26^5+32^5+(-34)^5 11^5+(-12)^5+(-133)^5+(-228)^5+231^5 49^5+(-131)^5+(-232)^5+(-465)^5+468^5 137^5+(-350)^5+425^5+426^5+(-469)^5 110 = 0^5+6^5+16^5+17^5+(-19)^5 111 = 1^5+6^5+16^5+17^5+(-19)^5 (-17)^5+25^5+(-89)^5+(-92)^5+104^5 83^5+(-185)^5+225^5+273^5+(-285)^5 115 = (-2)^5+(-2)^5+(-2)^5+(-2)^5+3^5 12^5+(-24)^5+(-28)^5+(-29)^5+34^5 118 = (-335)^5+623^5+868^5+887^5+(-1025)^5 119 = (-3)^5+(-30)^5+33^5+41^5+(-42)^5 234^5+248^5+(-429)^5+(-499)^5+535^5 120 = 229^5+(-239)^5+(-262)^5+(-609)^5+611^5 1397^5+1705^5+(-1758)^5+1789^5+(-1843)^5 122 = 6^5+13^5+16^5+16^5+(-19)^5 4^5+(-16)^5+(-17)^5+(-26)^5+27^5 (-13)^5+(-21)^5+169^5+208^5+(-221)^5 (-403)^5+(-648)^5+(-698)^5+(-915)^5+986^5 80^5+(-538)^5+1166^5+1177^5+(-1343)^5 123 = (-181)^5+187^5+(-315)^5+(-326)^5+368^5 124 = 9^5+(-17)^5+(-21)^5+(-23)^5+26^5 (-13)^5+23^5+(-38)^5+(-51)^5+53^5 (-221)^5+(-439)^5+532^5+548^5+(-596)^5 (-83)^5+238^5+664^5+674^5+(-769)^5 127 = (-1)^5+2^5+2^5+2^5+2^5 128 = 0^5+2^5+2^5+2^5+2^5 502^5+(-528)^5+882^5+1080^5+(-1148)^5 129 = 1^5+2^5+2^5+2^5+2^5 (-5)^5+(-31)^5+(-81)^5+(-101)^5+107^5 130 = 8^5+29^5+37^5+44^5+(-48)^5 7^5+(-29)^5+(-66)^5+(-71)^5+79^5 424^5+477^5+682^5+1294^5+(-1307)^5 131 = (-333)^5+384^5+(-396)^5+(-440)^5+466^5 133 = (-8)^5+11^5+11^5+15^5+(-16)^5 3^5+(-6)^5+(-16)^5+(-17)^5+19^5 (-129)^5+556^5+587^5+859^5+(-900)^5 140 = (-1)^5+(-3)^5+26^5+32^5+(-34)^5 141 = 0^5+(-3)^5+26^5+32^5+(-34)^5 142 = 2^5+6^5+16^5+17^5+(-19)^5 1^5+(-3)^5+26^5+32^5+(-34)^5 (-2)^5+5^5+(-42)^5+(-71)^5+72^5 16^5+(-68)^5+76^5+101^5+(-103)^5 (-226)^5+293^5+(-327)^5+(-430)^5+442^5 44^5+111^5+660^5+728^5+(-801)^5 149^5+283^5+745^5+848^5+(-923)^5 143 = 175^5+(-512)^5+(-577)^5+(-703)^5+770^5 (-410)^5+(-622)^5+961^5+1242^5+(-1297)^5 144 = (-17)^5+(-19)^5+(-31)^5+(-50)^5+51^5 145 = 66^5+(-79)^5+(-234)^5+(-241)^5+273^5 381^5+(-484)^5+793^5+1851^5+(-1856)^5 146 = (-1)^5+(-2)^5+(-2)^5+(-2)^5+3^5 (-2)^5+4^5+(-7)^5+(-7)^5+8^5 147 = 0^5+(-2)^5+(-2)^5+(-2)^5+3^5 148 = 1^5+(-2)^5+(-2)^5+(-2)^5+3^5 150 = 96^5+(-231)^5+585^5+659^5+(-719)^5 733^5+777^5+(-814)^5+1460^5+(-1466)^5 151 = (-13)^5+(-27)^5+(-82)^5+(-124)^5+127^5 154 = (-7)^5+(-22)^5+(-31)^5+(-34)^5+38^5 155 = 4^5+15^5+19^5+20^5+(-23)^5 36^5+60^5+73^5+73^5+(-87)^5 (-346)^5+547^5+(-684)^5+(-1271)^5+1279^5 156 (-1161)^5+(-1188)^5+1461^5+1570^5+(-1636)^5 157 = 6^5+12^5+(-46)^5+(-51)^5+56^5 580^5+680^5+1357^5+1428^5+(-1608)^5 166^5+909^5+1016^5+2214^5+(-2228)^5 160 = 2^5+2^5+2^5+2^5+2^5 162 = (-15)^5+32^5+(-36)^5+(-48)^5+49^5 164 = (-3)^5+(-6)^5+(-8)^5+(-9)^5+10^5 165 = 7^5+(-31)^5+(-54)^5+(-74)^5+77^5 (-88)^5+90^5+(-109)^5+(-195)^5+197^5 166 = (-3)^5+(-6)^5+(-6)^5+(-7)^5+8^5 (-6)^5+28^5+(-41)^5+(-42)^5+47^5 (-75)^5+(-172)^5+174^5+190^5+(-191)^5 168 = 25^5+(-113)^5+(-160)^5+(-162)^5+188^5 183^5+379^5+(-461)^5+(-494)^5+531^5 (-140)^5+323^5+447^5+543^5+(-585)^5 173 = 2^5+(-3)^5+26^5+32^5+(-34)^5 (-1)^5+5^5+(-42)^5+(-71)^5+72^5 174 = 0^5+5^5+(-42)^5+(-71)^5+72^5 175 = 6^5+8^5+12^5+15^5+(-16)^5 1^5+5^5+(-42)^5+(-71)^5+72^5 (-19)^5+28^5+(-76)^5+(-125)^5+127^5 133^5+(-166)^5+(-213)^5+(-225)^5+256^5 (-101)^5+319^5+326^5+341^5+(-410)^5 76^5+(-355)^5+409^5+520^5+(-535)^5 176 = (-57)^5+(-62)^5+(-108)^5+(-119)^5+132^5 177 = (-1)^5+(-1)^5+(-2)^5+(-2)^5+3^5 (-1)^5+4^5+(-7)^5+(-7)^5+8^5 (-2)^5+12^5+(-14)^5+(-15)^5+16^5 (-2)^5+5^5+(-39)^5+(-48)^5+51^5 (-120)^5+291^5+296^5+337^5+(-387)^5 178 = 0^5+(-1)^5+(-2)^5+(-2)^5+3^5 0^5+4^5+(-7)^5+(-7)^5+8^5 179 = (-2)^5+(-2)^5+3^5+k^5+(-k)^5 1^5+4^5+(-7)^5+(-7)^5+8^5 (-21)^5+67^5+(-116)^5+(-140)^5+149^5 (-50)^5+100^5+108^5+148^5+(-157)^5 180 = 0^5+1^5+(-2)^5+(-2)^5+3^5 181 = 1^5+1^5+(-2)^5+(-2)^5+3^5 182 = (-5)^5+10^5+(-262)^5+(-328)^5+347^5 185 = (-22)^5+294^5+734^5+1401^5+(-1412)^5 186 = (-7)^5+(-13)^5+28^5+35^5+(-37)^5 24^5+(-37)^5+(-49)^5+(-50)^5+58^5 13^5+(-146)^5+173^5+256^5+(-260)^5 (-82)^5+113^5+126^5+310^5+(-311)^5 18^5+31^5+168^5+404^5+(-405)^5 187 = 66^5+(-185)^5+333^5+398^5+(-425)^5 188 = 16^5+(-18)^5+(-21)^5+(-31)^5+32^5 18^5+(-408)^5+(-893)^5+(-1143)^5+1204^5 189 = 47^5+47^5+(-56)^5+(-65)^5+66^5 190 = 3^5+4^5+4^5+4^5+(-5)^5 192 = 14^5+26^5+(-30)^5+(-32)^5+34^5 193 = (-12)^5+(-15)^5+(-23)^5+(-25)^5+28^5 195 = (-18)^5+19^5+(-48)^5+(-70)^5+72^5 197 = 12^5+(-13)^5+(-14)^5+(-15)^5+17^5 (-71)^5+(-163)^5+224^5+414^5+(-417)^5 187^5+(-255)^5+601^5+792^5+(-828)^5 198 = (-163)^5+225^5+(-237)^5+(-251)^5+264^5 199 = (-2)^5+(-4)^5+(-6)^5+(-6)^5+7^5 (-2)^5+3^5+(-13)^5+(-16)^5+17^5 39^5+92^5+(-120)^5+(-142)^5+150^5 200 = (-19)^5+20^5+(-44)^5+(-56)^5+59^5 201 = 5^5+(-19)^5+(-27)^5+(-35)^5+37^5 (-183)^5+458^5+562^5+581^5+(-677)^5 202 = (-248)^5+(-374)^5+(-1227)^5+(-1900)^5+1941^5 204 = 13^5+(-15)^5+28^5+35^5+(-37)^5 206 = 2^5+5^5+(-42)^5+(-71)^5+72^5 177^5+(-323)^5+(-735)^5+(-1576)^5+1583^5 207 = 32^5+(-110)^5+(-136)^5+(-334)^5+335^5 189^5+(-212)^5+451^5+527^5+(-568)^5 79^5+(-124)^5+444^5+726^5+(-738)^5 208 = (-1)^5+(-1)^5+(-1)^5+(-2)^5+3^5 (-1)^5+12^5+(-14)^5+(-15)^5+16^5 (-1)^5+5^5+(-39)^5+(-48)^5+51^5 (-7)^5+16^5+(-45)^5+(-53)^5+57^5 (-124)^5+(-563)^5+942^5+1283^5+(-1330)^5 209 = 0^5+(-1)^5+(-1)^5+(-2)^5+3^5 0^5+12^5+(-14)^5+(-15)^5+16^5 0^5+5^5+(-39)^5+(-48)^5+51^5 210 = (-1)^5+(-2)^5+3^5+k^5+(-k)^5 2^5+4^5+(-7)^5+(-7)^5+8^5 1^5+12^5+(-14)^5+(-15)^5+16^5 1^5+5^5+(-39)^5+(-48)^5+51^5 12^5+28^5+(-42)^5+(-57)^5+59^5 211 = 0^5+(-2)^5+3^5+k^5+(-k)^5 212 = 1^5+(-2)^5+3^5+k^5+(-k)^5 (-50)^5+1013^5+1368^5+1455^5+(-1654)^5 213 = 0^5+1^5+1^5+(-2)^5+3^5 214 = 1^5+1^5+1^5+(-2)^5+3^5 82^5+147^5+(-285)^5+(-316)^5+346^5 217 = (-616)^5+1206^5+(-1380)^5+(-1422)^5+1529^5 218 = 47^5+88^5+123^5+156^5+(-166)^5 219 = 6^5+(-17)^5+93^5+95^5+(-108)^5 221 = 56^5+141^5+216^5+300^5+(-312)^5 223 = (-2)^5+3^5+13^5+16^5+(-17)^5 (-531)^5+562^5+584^5+685^5+(-747)^5 (-358)^5+464^5+543^5+1200^5+(-1206)^5 225 = 3^5+(-7)^5+(-13)^5+(-13)^5+15^5 227 = 292^5+310^5+(-344)^5+428^5+(-429)^5 230 = (-1)^5+(-4)^5+(-6)^5+(-6)^5+7^5 (-1)^5+3^5+(-13)^5+(-16)^5+17^5 (-6)^5+13^5+(-18)^5+(-23)^5+24^5 (-108)^5+209^5+264^5+270^5+(-315)^5 231 = 0^5+(-4)^5+(-6)^5+(-6)^5+7^5 0^5+3^5+(-13)^5+(-16)^5+17^5 232 = 1^5+(-4)^5+(-6)^5+(-6)^5+7^5 1^5+3^5+(-13)^5+(-16)^5+17^5 (-3)^5+13^5+15^5+15^5+(-18)^5 4^5+6^5+(-19)^5+(-26)^5+27^5 92^5+109^5+113^5+127^5+(-149)^5 293^5+852^5+1235^5+1905^5+(-1953)^5 234 = (-714)^5+731^5+1060^5+1410^5+(-1473)^5 237 = (-5)^5+(-5)^5+8^5+8^5+(-9)^5 239 = (-1)^5+(-1)^5+(-1)^5+(-1)^5+3^5 240 = 0^5+(-1)^5+(-1)^5+(-1)^5+3^5 241 = (-1)^5+(-1)^5+3^5+k^5+(-k)^5 2^5+12^5+(-14)^5+(-15)^5+16^5 2^5+5^5+(-39)^5+(-48)^5+51^5 (-13)^5+31^5+(-49)^5+(-70)^5+72^5 (-9)^5+31^5+(-53)^5+(-78)^5+80^5 (-44)^5+(-47)^5+(-66)^5+(-76)^5+84^5 133^5+315^5+460^5+904^5+(-911)^5 (-219)^5+926^5+970^5+1217^5+(-1333)^5 242 = 0^5+(-1)^5+3^5+k^5+(-k)^5 8^5+14^5+(-22)^5+(-25)^5+27^5 243 = 3^5 3^5+m^5+(-m)^5+k^5+(-k)^5 4^5+10^5+20^5+28^5+(-29)^5 24^5+28^5+(-54)^5+(-62)^5+67^5 39^5+56^5+(-97)^5+(-131)^5+136^5 71^5+93^5+159^5+172^5+(-192)^5 70^5+(-112)^5+(-180)^5+(-221)^5+236^5 (-121)^5+163^5+185^5+250^5+(-264)^5 40^5+168^5+(-215)^5+(-279)^5+289^5 114^5+141^5+(-267)^5+(-354)^5+369^5 111^5+463^5+(-586)^5+(-886)^5+901^5 48^5+(-381)^5+930^5+1236^5+(-1290)^5 (-189)^5+(-1425)^5+1713^5+2025^5+(-2121)^5 177^5+1533^5+(-1764)^5+(-2316)^5+2373^5 244 = 0^5+1^5+3^5+k^5+(-k)^5 245 = 1^5+1^5+3^5+k^5+(-k)^5 6^5+15^5+15^5+23^5+(-24)^5 246 = 0^5+1^5+1^5+1^5+3^5 247 = 1^5+1^5+1^5+1^5+3^5 250 = 41^5+83^5+(-85)^5+(-93)^5+94^5 105^5+145^5+(-232)^5+(-260)^5+282^5 252 = 28^5+122^5+(-139)^5+(-265)^5+266^5 6^5+209^5+211^5+275^5+(-299)^5 253 = (-18)^5+43^5+(-74)^5+(-119)^5+121^5 254 = (-1)^5+3^5+13^5+16^5+(-17)^5 255 = 0^5+3^5+13^5+16^5+(-17)^5 256 = 1^5+3^5+13^5+16^5+(-17)^5 36^5+(-76)^5+130^5+142^5+(-156)^5 (-41)^5+(-546)^5+636^5+745^5+(-778)^5 257 = (-150)^5+(-200)^5+257^5+342^5+(-352)^5 259 = (-3)^5+(-4)^5+(-5)^5+(-5)^5+6^5 261 = 3^5+7^5+13^5+13^5+(-15)^5 262 = 33^5+258^5+(-664)^5+(-907)^5+942^5 263 = (-2)^5+(-3)^5+(-3)^5+(-3)^5+4^5 2^5+(-4)^5+(-6)^5+(-6)^5+7^5 2^5+3^5+(-13)^5+(-16)^5+17^5 37^5+158^5+(-383)^5+(-463)^5+494^5 265 = (-4)^5+6^5+(-8)^5+(-8)^5+9^5 279^5+584^5+(-871)^5+(-1050)^5+1113^5 267 = (-4)^5+(-7)^5+9^5+9^5+(-10)^5 (-106)^5+(-133)^5+(-162)^5+(-250)^5+258^5 350^5+848^5+(-965)^5+(-1216)^5+1250^5 271 = 55^5+(-60)^5+(-93)^5+(-108)^5+117^5 272 = (-1)^5+(-1)^5+(-1)^5+2^5+3^5 273 = 0^5+(-1)^5+(-1)^5+2^5+3^5 (-146)^5+(-324)^5+(-396)^5+(-431)^5+490^5 187^5+(-221)^5+313^5+545^5+(-551)^5 274 = (-1)^5+2^5+3^5+k^5+(-k)^5 9^5+16^5+(-23)^5+(-26)^5+28^5 5^5+(-80)^5+(-379)^5+(-661)^5+669^5 275 = 0^5+2^5+3^5+k^5+(-k)^5 (-87)^5+123^5+212^5+415^5+(-418)^5 276 = 1^5+2^5+3^5+k^5+(-k)^5 277 = 0^5+1^5+1^5+2^5+3^5 (-24)^5+30^5+37^5+38^5+(-44)^5 418^5+(-535)^5+(-563)^5+(-884)^5+911^5 278 = 1^5+1^5+1^5+2^5+3^5 15^5+21^5+71^5+75^5+(-84)^5 401^5+476^5+638^5+1412^5+(-1419)^5 282 = 139^5+431^5+(-489)^5+(-583)^5+604^5 283 = 10^5+(-96)^5+106^5+107^5+(-114)^5 (-124)^5+146^5+340^5+459^5+(-478)^5 61^5+(-208)^5+373^5+820^5+(-823)^5 284 = (-420)^5+479^5+(-482)^5+(-627)^5+644^5 285 = (-48)^5+101^5+135^5+136^5+(-159)^5 (-66)^5+(-92)^5+(-147)^5+(-156)^5+176^5 (-563)^5+(-1164)^5+(-1454)^5+(-1714)^5+1880^5 286 = 16^5+18^5+44^5+63^5+(-65)^5 287 = 2^5+3^5+13^5+16^5+(-17)^5 288 = 618^5+641^5+(-737)^5+(-890)^5+896^5 294 = (-1)^5+(-3)^5+(-3)^5+(-3)^5+4^5 6^5+9^5+10^5+13^5+(-14)^5 102^5+139^5+219^5+282^5+(-298)^5 295 = 0^5+(-3)^5+(-3)^5+(-3)^5+4^5 296 = 1^5+(-3)^5+(-3)^5+(-3)^5+4^5 3^5+(-4)^5+(-4)^5+(-4)^5+5^5 (-15)^5+19^5+(-41)^5+(-51)^5+54^5 298 = 18^5+34^5+37^5+69^5+(-70)^5 (-80)^5+(-87)^5+(-106)^5+(-256)^5+257^5 49^5+89^5+(-218)^5+(-262)^5+280^5 299 = (-5)^5+(-11)^5+16^5+20^5+(-21)^5 300 = (-4)^5+(-120)^5+218^5+389^5+(-393)^5 305 = (-1)^5+(-1)^5+2^5+2^5+3^5 306 = 0^5+(-1)^5+2^5+2^5+3^5 (-91)^5+98^5+152^5+272^5+(-275)^5 307 = 2^5+2^5+3^5+k^5+(-k)^5 (-168)^5+(-221)^5+266^5+276^5+(-296)^5 37^5+109^5+163^5+337^5+(-339)^5 308 = 0^5+1^5+2^5+2^5+3^5 (-34)^5+47^5+58^5+85^5+(-88)^5 (-47)^5+(-53)^5+(-110)^5+(-139)^5+147^5 (-354)^5+(-657)^5+(-715)^5+(-738)^5+882^5 176^5+(-505)^5+(-598)^5+(-1443)^5+1448^5 309 = 1^5+1^5+2^5+2^5+3^5 311 = 71^5+(-91)^5+93^5+125^5+(-127)^5 (-535)^5+(-1072)^5+(-1712)^5+(-3207)^5+3237^5 317 = (-15)^5+30^5+33^5+59^5+(-60)^5 318 = (-107)^5+140^5+(-340)^5+(-423)^5+448^5 18^5+358^5+(-721)^5+(-848)^5+911^5 108^5+1405^5+1409^5+1905^5+(-2049)^5 319 = 11^5+(-16)^5+25^5+36^5+(-37)^5 228^5+495^5+521^5+679^5+(-734)^5 320 = (-2)^5+(-2)^5+26^5+32^5+(-34)^5 (-179)^5+185^5+285^5+786^5+(-787)^5 321 = 66^5+(-79)^5+200^5+243^5+(-259)^5 478^5+806^5+1185^5+1336^5+(-1474)^5 322 = 368^5+543^5+(-635)^5+(-657)^5+703^5 325 = (-12)^5+(-48)^5+(-75)^5+(-80)^5+90^5 (-291)^5+765^5+798^5+827^5+(-994)^5 327 = 2^5+(-3)^5+(-3)^5+(-3)^5+4^5 329 = (-305)^5+424^5+(-961)^5+(-1013)^5+1134^5 330 = (-2)^5+(-30)^5+33^5+41^5+(-42)^5 331 = (-152)^5+(-171)^5+(-263)^5+(-355)^5+372^5 332 = 60^5+60^5+77^5+79^5+(-94)^5 333 = (-3)^5+14^5+26^5+26^5+(-30)^5 336 = (-158)^5+(-243)^5+259^5+384^5+(-386)^5 338 = (-1)^5+2^5+2^5+2^5+3^5 339 = 0^5+2^5+2^5+2^5+3^5 340 = 1^5+2^5+2^5+2^5+3^5 4^5+19^5+(-47)^5+(-56)^5+60^5 52^5+(-83)^5+(-124)^5+(-137)^5+152^5 (-141)^5+681^5+(-1223)^5+(-1489)^5+1582^5 341 = (-58)^5+(-60)^5+71^5+77^5+(-79)^5 259^5+648^5+(-701)^5+(-913)^5+928^5 (-103)^5+1068^5+1249^5+1364^5+(-1557)^5 342 = (-8)^5+11^5+11^5+12^5+(-14)^5 (-27)^5+64^5+69^5+105^5+(-109)^5 43^5+(-211)^5+335^5+366^5+(-401)^5 343 = 19^5+20^5+(-29)^5+(-30)^5+33^5 159^5+(-200)^5+(-285)^5+(-302)^5+341^5 344 = 5^5+5^5+5^5+6^5+(-7)^5 349 = (-308)^5+(-372)^5+404^5+429^5+(-434)^5 351 = (-1)^5+(-2)^5+26^5+32^5+(-34)^5 7^5+(-24)^5+43^5+46^5+(-51)^5 41^5+49^5+86^5+117^5+(-122)^5 352 = 0^5+(-2)^5+26^5+32^5+(-34)^5 (-16)^5+44^5+58^5+78^5+(-82)^5 353 = 3^5+6^5+16^5+17^5+(-19)^5 1^5+(-2)^5+26^5+32^5+(-34)^5 (-7)^5+125^5+274^5+428^5+(-437)^5 360 = (-3)^5+(-3)^5+7^5+7^5+(-8)^5 51^5+54^5+84^5+98^5+(-107)^5 361 = (-1)^5+(-30)^5+33^5+41^5+(-42)^5 362 = 0^5+(-30)^5+33^5+41^5+(-42)^5 258^5+(-267)^5+(-395)^5+(-584)^5+600^5 (-110)^5+360^5+(-979)^5+(-2002)^5+2013^5 363 = 1^5+(-30)^5+33^5+41^5+(-42)^5 (-159)^5+466^5+(-835)^5+(-1082)^5+1133^5 364 = 32^5+(-59)^5+64^5+70^5+(-73)^5 365 = 64^5+(-67)^5+(-266)^5+(-506)^5+510^5 366 = 13^5+(-21)^5+(-21)^5+(-21)^5+26^5 (-16)^5+42^5+(-57)^5+(-57)^5+64^5 18^5+102^5+(-151)^5+(-206)^5+213^5 (-129)^5+(-145)^5+(-424)^5+(-478)^5+522^5 598^5+712^5+(-732)^5+1489^5+(-1491)^5 367 = 108^5+280^5+(-305)^5+(-330)^5+344^5 371 = 2^5+2^5+2^5+2^5+3^5 372 = (-16)^5+99^5+164^5+166^5+(-191)^5 373 = (-27)^5+(-116)^5+(-130)^5+(-156)^5+172^5 38^5+123^5+188^5+303^5+(-309)^5 (-112)^5+(-126)^5+(-443)^5+(-546)^5+580^5 374 = (-27)^5+(-30)^5+42^5+65^5+(-66)^5 84^5+(-147)^5+(-178)^5+(-231)^5+246^5 375 = (-2)^5+(-6)^5+(-8)^5+(-9)^5+10^5 (-12)^5+(-35)^5+(-35)^5+(-38)^5+45^5 (-12)^5+(-134)^5+(-146)^5+(-233)^5+240^5 (-64)^5+(-156)^5+(-203)^5+(-255)^5+273^5 376 = 35^5+(-340)^5+(-459)^5+(-506)^5+566^5 377 = (-2)^5+(-6)^5+(-6)^5+(-7)^5+8^5 38^5+(-39)^5+86^5+100^5+(-108)^5 (-228)^5+426^5+738^5+1241^5+(-1260)^5 378 = 38^5+(-299)^5+346^5+517^5+(-524)^5 382 = (-1)^5+(-1)^5+26^5+32^5+(-34)^5 (-75)^5+(-183)^5+(-246)^5+(-335)^5+351^5 (-93)^5+206^5+544^5+706^5+(-741)^5 383 = 0^5+(-1)^5+26^5+32^5+(-34)^5 (-16)^5+(-64)^5+(-80)^5+(-129)^5+132^5 384 = 26^5+32^5+(-34)^5+k^5+(-k)^5 7^5+8^5+11^5+11^5+(-13)^5 6^5+8^5+12^5+12^5+(-14)^5 (-15)^5+(-17)^5+28^5+34^5+(-36)^5 32^5+(-70)^5+190^5+276^5+(-284)^5 385 = 0^5+1^5+26^5+32^5+(-34)^5 (-60)^5+(-60)^5+88^5+124^5+(-127)^5 386 = 1^5+1^5+26^5+32^5+(-34)^5 387 = 37^5+55^5+67^5+69^5+(-81)^5 390 = (-2)^5+(-2)^5+(-2)^5+3^5+3^5 391 = 96^5+142^5+222^5+336^5+(-345)^5 393 = 375^5+(-771)^5+1063^5+1575^5+(-1609)^5 394 = 2^5+(-30)^5+33^5+41^5+(-42)^5 395 = (-5)^5+12^5+32^5+34^5+(-38)^5 396 = (-45)^5+231^5+(-652)^5+(-689)^5+771^5 397 = (-3)^5+4^5+(-26)^5+(-32)^5+34^5 (-59)^5+369^5+474^5+544^5+(-601)^5 398 = (-22)^5+49^5+(-50)^5+(-51)^5+52^5 223^5+335^5+(-391)^5+(-441)^5+462^5 399 = (-369)^5+(-552)^5+974^5+1182^5+(-1256)^5 403 = (-12)^5+(-15)^5+(-22)^5+(-27)^5+29^5 404 = (-15)^5+29^5+(-31)^5+(-36)^5+37^5 406 = (-1)^5+(-6)^5+(-8)^5+(-9)^5+10^5 (-23)^5+(-115)^5+135^5+140^5+(-151)^5 407 = 0^5+(-6)^5+(-8)^5+(-9)^5+10^5 408 = (-1)^5+(-6)^5+(-6)^5+(-7)^5+8^5 1^5+(-6)^5+(-8)^5+(-9)^5+10^5 (-6)^5+19^5+(-27)^5+(-32)^5+34^5 (-6)^5+29^5+(-37)^5+(-46)^5+48^5 (-6)^5+131^5+(-139)^5+(-190)^5+192^5 (-6)^5+189^5+(-197)^5+(-272)^5+274^5 107^5+(-117)^5+420^5+421^5+(-483)^5 (-6)^5+783^5+(-791)^5+(-1112)^5+1114^5 409 = 0^5+(-6)^5+(-6)^5+(-7)^5+8^5 11^5+20^5+21^5+25^5+(-28)^5 410 = 1^5+(-6)^5+(-6)^5+(-7)^5+8^5 415 = (-1)^5+2^5+26^5+32^5+(-34)^5 34^5+123^5+(-135)^5+(-181)^5+184^5 416 = 0^5+2^5+26^5+32^5+(-34)^5 78^5+(-962)^5+974^5+1272^5+(-1276)^5 417 = 1^5+2^5+26^5+32^5+(-34)^5 (-36)^5+(-51)^5+55^5+66^5+(-67)^5 3^5+5^5+(-42)^5+(-71)^5+72^5 418 = 160^5+253^5+(-1094)^5+(-1371)^5+1450^5 419 = 5^5+8^5+(-15)^5+(-19)^5+20^5 (-4)^5+(-32)^5+(-98)^5+(-102)^5+115^5 (-390)^5+1371^5+1413^5+1478^5+(-1773)^5 421 = (-1)^5+(-2)^5+(-2)^5+3^5+3^5 3^5+4^5+(-7)^5+(-7)^5+8^5 472^5+752^5+(-864)^5+(-888)^5+949^5 422 = 0^5+(-2)^5+(-2)^5+3^5+3^5 423 = 1^5+(-2)^5+(-2)^5+3^5+3^5 426 = (-52)^5+299^5+426^5+527^5+(-564)^5 427 = (-4)^5+(-9)^5+(-11)^5+(-14)^5+15^5 20^5+61^5+(-77)^5+(-104)^5+107^5 (-64)^5+213^5+327^5+336^5+(-385)^5 428 = (-7)^5+(-16)^5+35^5+38^5+(-42)^5 429 = 189^5+212^5+(-246)^5+(-326)^5+330^5 344^5+729^5+(-883)^5+(-1210)^5+1239^5 430 = 35^5+(-46)^5+(-46)^5+(-53)^5+60^5 (-42)^5+(-58)^5+(-73)^5+(-116)^5+119^5 (-7)^5+146^5+(-170)^5+(-187)^5+198^5 63^5+79^5+(-178)^5+(-208)^5+224^5 439 = 6^5+7^5+7^5+9^5+(-10)^5 2^5+(-6)^5+(-8)^5+(-9)^5+10^5 440 = 32^5+381^5+1067^5+1325^5+(-1405)^5 441 = 2^5+(-6)^5+(-6)^5+(-7)^5+8^5 14^5+(-16)^5+25^5+30^5+(-32)^5 (-3)^5+(-19)^5+47^5+56^5+(-60)^5 13^5+24^5+(-85)^5+(-95)^5+104^5 443 = 6^5+(-7)^5+(-7)^5+(-8)^5+9^5 (-2)^5+13^5+15^5+15^5+(-18)^5 67^5+(-73)^5+(-162)^5+(-207)^5+218^5 78^5+203^5+(-240)^5+(-288)^5+300^5 448 = 4^5+(-14)^5+(-26)^5+(-26)^5+30^5 2^5+2^5+26^5+32^5+(-34)^5 16^5+(-26)^5+40^5+54^5+(-56)^5 (-12)^5+32^5+39^5+70^5+(-71)^5 450 = (-5)^5+(-8)^5+(-20)^5+(-20)^5+23^5 34^5+(-56)^5+95^5+96^5+(-109)^5 53^5+(-268)^5+(-412)^5+(-435)^5+492^5 (-636)^5+735^5+(-749)^5+(-816)^5+866^5 452 = (-1)^5+(-1)^5+(-2)^5+3^5+3^5 3^5+12^5+(-14)^5+(-15)^5+16^5 3^5+5^5+(-39)^5+(-48)^5+51^5 51^5+80^5+(-167)^5+(-233)^5+241^5 51^5+(-100)^5+(-167)^5+(-239)^5+247^5 (-148)^5+202^5+562^5+689^5+(-733)^5 453 = 0^5+(-1)^5+(-2)^5+3^5+3^5 454 = (-2)^5+3^5+3^5+k^5+(-k)^5 455 = 0^5+1^5+(-2)^5+3^5+3^5 104^5+(-118)^5+(-121)^5+(-128)^5+148^5 456 = 1^5+1^5+(-2)^5+3^5+3^5 459 = (-9)^5+(-23)^5+(-269)^5+(-269)^5+309^5 461 = (-31)^5+270^5+443^5+756^5+(-767)^5 (-447)^5+768^5+(-878)^5+(-1167)^5+1195^5 462 = 5^5+29^5+(-18)^5+29^5+(-33)^5 463 = 15^5+15^5+(-16)^5+17^5+(-18)^5 (-6)^5+7^5+(-19)^5+(-26)^5+27^5 47^5+187^5+702^5+869^5+(-922)^5 (-88)^5+(-148)^5+495^5+994^5+(-1000)^5 470 = (-2)^5+(-4)^5+(-5)^5+(-5)^5+6^5 (-34)^5+41^5+46^5+64^5+(-67)^5 76^5+123^5+176^5+187^5+(-212)^5 472 = 7^5+(-58)^5+(-79)^5+(-138)^5+140^5 (-204)^5+(-258)^5+282^5+287^5+(-295)^5 (-31)^5+64^5+284^5+336^5+(-361)^5 281^5+(-412)^5+(-439)^5+(-689)^5+711^5 473 = (-135)^5+160^5+240^5+254^5+(-286)^5 474 = (-2)^5+(-2)^5+(-3)^5+(-3)^5+4^5 3^5+(-4)^5+(-6)^5+(-6)^5+7^5 3^5+3^5+(-13)^5+(-16)^5+17^5 (-1)^5+13^5+15^5+15^5+(-18)^5 60^5+325^5+(-351)^5+(-351)^5+371^5 (-74)^5+116^5+449^5+504^5+(-551)^5 475 = 165^5+(-230)^5+(-255)^5+(-267)^5+312^5 (-18)^5+(-163)^5+(-337)^5+(-737)^5+740^5 476 = 1^5+13^5+15^5+15^5+(-18)^5 138^5+(-303)^5+312^5+548^5+(-549)^5 477 = (-118)^5+330^5+333^5+356^5+(-424)^5 478 = (-139)^5+181^5+284^5+331^5+(-359)^5 483 = (-1)^5+(-1)^5+(-1)^5+3^5+3^5 484 = 0^5+(-1)^5+(-1)^5+3^5+3^5 (-74)^5+(-109)^5+(-192)^5+(-223)^5+242^5 485 = (-1)^5+3^5+3^5+k^5+(-k)^5 (-7)^5+(-8)^5+23^5+24^5+(-27)^5 486 = 0^5+3^5+3^5+k^5+(-k)^5 487 = 1^5+3^5+3^5+k^5+(-k)^5 566^5+885^5+(-1030)^5+(-1107)^5+1173^5 488 = 0^5+1^5+1^5+3^5+3^5 489 = 1^5+1^5+1^5+3^5+3^5 492 = (-4)^5+(-7)^5+24^5+35^5+(-36)^5 18^5+203^5+(-268)^5+(-276)^5+305^5 55^5+(-247)^5+299^5+490^5+(-495)^5 493 = 32^5+101^5+128^5+179^5+(-187)^5 494 = (-312)^5+(-916)^5+1091^5+1291^5+(-1350)^5 495 = 268^5+(-319)^5+458^5+1161^5+(-1163)^5 498 = 3^5+3^5+13^5+16^5+(-17)^5 501 = (-1)^5+(-4)^5+(-5)^5+(-5)^5+6^5 502 = 0^5+(-4)^5+(-5)^5+(-5)^5+6^5 503 = 1^5+(-4)^5+(-5)^5+(-5)^5+6^5 505 = (-1)^5+(-2)^5+(-3)^5+(-3)^5+4^5 (-77)^5+(-113)^5+(-121)^5+(-196)^5+202^5 95^5+114^5+117^5+314^5+(-315)^5 94^5+(-131)^5+336^5+677^5+(-681)^5 506 = 0^5+(-2)^5+(-3)^5+(-3)^5+4^5 507 = 1^5+(-2)^5+(-3)^5+(-3)^5+4^5 2^5+13^5+15^5+15^5+(-18)^5 27^5+(-34)^5+35^5+45^5+(-46)^5 19^5+166^5+439^5+577^5+(-604)^5 (-125)^5+(-238)^5+536^5+599^5+(-655)^5 514 = (-9)^5+(-24)^5+(-59)^5+(-67)^5+73^5 (-100)^5+142^5+(-190)^5+(-375)^5+377^5 516 = (-1)^5+(-1)^5+2^5+3^5+3^5 9^5+39^5+(-46)^5+(-47)^5+51^5 10^5+10^5+(-47)^5+(-61)^5+64^5 253^5+354^5+(-492)^5+(-553)^5+594^5 517 = 0^5+(-1)^5+2^5+3^5+3^5 13^5+(-21)^5+51^5+55^5+(-61)^5 313^5+(-517)^5+592^5+769^5+(-790)^5 518 = 2^5+3^5+3^5+k^5+(-k)^5 16^5+17^5+(-27)^5+(-32)^5+34^5 (-6)^5+391^5+(-545)^5+(-802)^5+820^5 519 = 0^5+1^5+2^5+3^5+3^5 520 = 1^5+1^5+2^5+3^5+3^5 522 = 4^5+4^5+5^5+5^5+(-6)^5 525 = 110^5+112^5+121^5+129^5+(-157)^5 31^5+249^5+263^5+387^5+(-405)^5 (-75)^5+255^5+347^5+883^5+(-885)^5 176^5+(-242)^5+854^5+1117^5+(-1170)^5 526 = 98^5+(-153)^5+164^5+231^5+(-234)^5 527 = 19^5+39^5+(-42)^5+(-52)^5+53^5 30^5+(-145)^5+(-184)^5+(-234)^5+250^5 531 = (-18)^5+38^5+67^5+80^5+(-86)^5 (-569)^5+602^5+1384^5+1409^5+(-1605)^5 532 = (-18)^5+(-18)^5+(-66)^5+(-87)^5+91^5 16^5+(-589)^5+627^5+1269^5+(-1271)^5 534 = 2^5+(-4)^5+(-5)^5+(-5)^5+6^5 535 = (-119)^5+(-121)^5+(-262)^5+(-342)^5+359^5 536 = (-1)^5+(-1)^5+(-3)^5+(-3)^5+4^5 (-7)^5+(-70)^5+241^5+299^5+(-317)^5 537 = 0^5+(-1)^5+(-3)^5+(-3)^5+4^5 538 = (-3)^5+(-3)^5+4^5+k^5+(-k)^5 (-3)^5+(-10)^5+(-20)^5+(-28)^5+29^5 539 = 0^5+1^5+(-3)^5+(-3)^5+4^5 (-12)^5+22^5+(-115)^5+(-123)^5+137^5 540 = 1^5+1^5+(-3)^5+(-3)^5+4^5 210^5+(-258)^5+(-523)^5+(-570)^5+631^5 541 = (-84)^5+(-211)^5+(-267)^5+(-341)^5+364^5 542 = 32^5+36^5+86^5+147^5+(-149)^5 544 = (-2)^5+14^5+26^5+26^5+(-30)^5 (-134)^5+135^5+144^5+146^5+(-167)^5 547 = (-57)^5+(-97)^5+(-122)^5+(-147)^5+160^5 18^5+130^5+(-147)^5+(-177)^5+183^5 549 = (-1)^5+2^5+2^5+3^5+3^5 4^5+(-13)^5+(-15)^5+(-15)^5+18^5 (-3)^5+(-6)^5+19^5+26^5+(-27)^5 (-46)^5+90^5+(-100)^5+(-112)^5+117^5 (-122)^5+(-130)^5+224^5+245^5+(-268)^5 (-55)^5+143^5+230^5+349^5+(-358)^5 550 = 0^5+2^5+2^5+3^5+3^5 (-30)^5+(-33)^5+46^5+54^5+(-57)^5 26^5+78^5+(-100)^5+(-121)^5+127^5 5^5+(-44)^5+81^5+134^5+(-136)^5 39^5+53^5+105^5+136^5+(-143)^5 (-8)^5+231^5+368^5+415^5+(-456)^5 551 = 1^5+2^5+2^5+3^5+3^5 (-10)^5+11^5+11^5+14^5+(-15)^5 9^5+(-26)^5+31^5+31^5+(-34)^5 75^5+(-318)^5+(-345)^5+(-472)^5+501^5 553 = 48^5+(-237)^5+(-1261)^5+(-1380)^5+1523^5 557 = (-33)^5+73^5+(-86)^5+(-114)^5+117^5 558 = (-4)^5+10^5+13^5+17^5+(-18)^5 (-16)^5+26^5+40^5+57^5+(-59)^5 560 = (-5)^5+23^5+35^5+43^5+(-46)^5 (-340)^5+1115^5+1119^5+1713^5+(-1787)^5 562 = 15^5+286^5+(-440)^5+(-712)^5+723^5 563 = (-10)^5+(-21)^5+25^5+32^5+(-33)^5 569 = (-1)^5+2^5+(-3)^5+(-3)^5+4^5 73^5+259^5+(-435)^5+(-694)^5+706^5 360^5+428^5+441^5+690^5+(-720)^5 570 = 0^5+2^5+(-3)^5+(-3)^5+4^5 571 = 1^5+2^5+(-3)^5+(-3)^5+4^5 (-2)^5+(-3)^5+7^5+7^5+(-8)^5 11^5+18^5+36^5+40^5+(-44)^5 573 = (-86)^5+(-96)^5+130^5+174^5+(-179)^5 (-16)^5+(-37)^5+(-171)^5+(-195)^5+212^5 257^5+(-1021)^5+1528^5+1560^5+(-1751)^5 574 = 5^5+(-41)^5+(-55)^5+(-68)^5+73^5 575 = (-4)^5+5^5+5^5+5^5+(-6)^5 (-1)^5+14^5+26^5+26^5+(-30)^5 576 = 0^5+14^5+26^5+26^5+(-30)^5 577 = 1^5+14^5+26^5+26^5+(-30)^5 580 = 64^5+79^5+(-306)^5+(-379)^5+402^5 582 = 2^5+2^5+2^5+3^5+3^5 (-9)^5+10^5+12^5+15^5+(-16)^5 (-26)^5+30^5+(-58)^5+(-65)^5+71^5 (-114)^5+(-159)^5+(-536)^5+(-558)^5+629^5 542^5+557^5+(-887)^5+(-922)^5+1022^5 583 = (-31)^5+91^5+136^5+242^5+(-245)^5 (-153)^5+250^5+418^5+452^5+(-504)^5 584 = (-7)^5+43^5+(-56)^5+(-65)^5+69^5 6^5+(-69)^5+81^5+97^5+(-101)^5 (-23)^5+(-58)^5+111^5+111^5+(-127)^5 (-304)^5+428^5+(-603)^5+(-728)^5+771^5 585 = 671^5+(-865)^5+652^5+(-229)^5+746^5 (-229)^5+652^5+671^5+746^5+(-865)^5 586 = (-98)^5+(-131)^5+(-131)^5+(-173)^5+189^5 (-103)^5+243^5+323^5+410^5+(-437)^5 588 = (-101)^5+(-138)^5+212^5+257^5+(-272)^5 590 = (-291)^5+(-319)^5+(-383)^5+(-449)^5+502^5 591 = (-3)^5+(-3)^5+(-4)^5+(-4)^5+5^5 13^5+(-82)^5+249^5+377^5+(-386)^5 592 = 30^5+(-313)^5+649^5+1118^5+(-1132)^5 595 = (-2)^5+3^5+26^5+32^5+(-34)^5 (-38)^5+(-128)^5+135^5+149^5+(-153)^5 597 = (-10)^5+(-18)^5+26^5+37^5+(-38)^5 600 = 151^5+(-223)^5+338^5+404^5+(-430)^5 602 = 2^5+2^5+(-3)^5+(-3)^5+4^5 (-1)^5+(-3)^5+7^5+7^5+(-8)^5 603 = 0^5+(-3)^5+7^5+7^5+(-8)^5 604 = 1^5+(-3)^5+7^5+7^5+(-8)^5 605 = 3^5+(-30)^5+33^5+41^5+(-42)^5 13^5+120^5+(-132)^5+(-164)^5+168^5 (-296)^5+355^5+495^5+622^5+(-661)^5 606 = (-13)^5+(-21)^5+(-24)^5+(-26)^5+30^5 (-8)^5+13^5+(-31)^5+(-40)^5+42^5 (-17)^5+26^5+28^5+48^5+(-49)^5 607 = (-13)^5+30^5+(-43)^5+(-52)^5+55^5 34^5+55^5+(-120)^5+(-153)^5+161^5 485^5+550^5+1063^5+1912^5+(-1933)^5 608 = 2^5+14^5+26^5+26^5+(-30)^5 (-2)^5+4^5+(-26)^5+(-32)^5+34^5 (-38)^5+(-40)^5+58^5+82^5+(-84)^5 613 = 10^5+18^5+18^5+21^5+(-24)^5 145^5+321^5+388^5+1251^5+(-1252)^5 614 = (-97)^5+142^5+167^5+202^5+(-220)^5 105^5+330^5+365^5+472^5+(-508)^5 615 = 4^5+6^5+6^5+7^5+(-8)^5 (-149)^5+(-2469)^5+(-476)^5+(-2098)^5+2657^5 616 = 526^5+(-1431)^5+(-1712)^5+(-1786)^5+2079^5 617 = 4^5+6^5+8^5+9^5+(-10)^5 (-7)^5+(-10)^5+39^5+41^5+(-46)^5 (-337)^5+(-436)^5+649^5+1201^5+(-1210)^5 619 = (-394)^5+(-420)^5+(-442)^5+(-844)^5+859^5 624 = 584^5+857^5+890^5+1108^5+(-1225)^5 625 = 129^5+317^5+(-762)^5+(-1034)^5+1075^5 (-69)^5+(-141)^5+950^5+1018^5+(-1133)^5 (-16)^5+70^5+392^5+1166^5+(-1167)^5 (-520)^5+(-943)^5+1199^5+1201^5+(-1332)^5 626 = (-3)^5+(-15)^5+(-19)^5+(-20)^5+23^5 (-7)^5+17^5+19^5+21^5+(-24)^5 (-1)^5+3^5+26^5+32^5+(-34)^5 213^5+380^5+477^5+486^5+(-570)^5 (-71)^5+327^5+(-857)^5+(-1344)^5+1371^5 627 = 0^5+3^5+26^5+32^5+(-34)^5 628 = 1^5+3^5+26^5+32^5+(-34)^5 629 = 59^5+99^5+245^5+329^5+(-343)^5 (-211)^5+(-380)^5+784^5+809^5+(-913)^5 635 = 2^5+(-3)^5+7^5+7^5+(-8)^5 636 = 50^5+53^5+87^5+128^5+(-132)^5 637 = 11^5+13^5+14^5+21^5+(-22)^5 25^5+29^5+164^5+392^5+(-393)^5 (-322)^5+(-919)^5+1065^5+1228^5+(-1285)^5 638 = 43^5+156^5+(-205)^5+(-242)^5+256^5 639 = (-1)^5+4^5+(-26)^5+(-32)^5+34^5 (-33)^5+(-160)^5+204^5+396^5+(-398)^5 640 = 0^5+4^5+(-26)^5+(-32)^5+34^5 (-30)^5+46^5+92^5+110^5+(-118)^5 (-123)^5+361^5+439^5+891^5+(-898)^5 641 = 1^5+4^5+(-26)^5+(-32)^5+34^5 647 = (-14)^5+(-19)^5+21^5+21^5+(-22)^5 44^5+(-81)^5+89^5+95^5+(-100)^5 649 = (-50)^5+(-70)^5+(-73)^5+(-141)^5+143^5 (-22)^5+425^5+772^5+804^5+(-910)^5 650 = 3^5+(-6)^5+(-8)^5+(-9)^5+10^5 12^5+(-15)^5+25^5+30^5+(-32)^5 651 = 89^5+(-209)^5+(-230)^5+(-365)^5+376^5 (-29)^5+41^5+388^5+542^5+(-561)^5 652 = 3^5+(-6)^5+(-6)^5+(-7)^5+8^5 (-2)^5+(-19)^5+47^5+56^5+(-60)^5 203^5+240^5+(-293)^5+(-299)^5+321^5 (-93)^5+(-282)^5+(-359)^5+(-710)^5+716^5 657 = (-5)^5+12^5+21^5+30^5+(-31)^5 (-36)^5+66^5+156^5+209^5+(-218)^5 80^5+(-113)^5+305^5+332^5+(-367)^5 337^5+(-390)^5+412^5+920^5+(-922)^5 658 = 22^5+(-100)^5+107^5+168^5+(-169)^5 22^5+(-101)^5+171^5+285^5+(-289)^5 659 = (-3)^5+16^5+17^5+26^5+(-27)^5 2^5+3^5+26^5+32^5+(-34)^5 (-276)^5+483^5+554^5+570^5+(-672)^5 660 = (-10)^5+(-11)^5+(-12)^5+(-12)^5+15^5 662 = 4^5+30^5+(-33)^5+(-41)^5+42^5 663 = (-40)^5+(-75)^5+(-173)^5+(-186)^5+207^5 665 = (-2)^5+(-2)^5+3^5+3^5+3^5 668 = (-11)^5+85^5+175^5+428^5+(-429)^5 669 = 153^5+(-449)^5+(-791)^5+(-925)^5+1001^5 670 = 98^5+117^5+441^5+668^5+(-684)^5 (-343)^5+(-599)^5+723^5+846^5+(-887)^5 (-295)^5+560^5+661^5+916^5+(-962)^5 672 = 12^5+(-14)^5+15^5+17^5+(-18)^5 2^5+4^5+(-26)^5+(-32)^5+34^5 (-70)^5+(-128)^5+306^5+542^5+(-548)^5 673 = 49^5+59^5+(-66)^5+(-84)^5+85^5 674 = (-4)^5+(-6)^5+(-7)^5+(-8)^5+9^5 9^5+9^5+(-39)^5+(-41)^5+46^5 (-23)^5+45^5+53^5+104^5+(-105)^5 (-41)^5+388^5+(-576)^5+(-613)^5+676^5 682 = (-155)^5+185^5+(-231)^5+(-294)^5+307^5 683 = 15^5+(-19)^5+31^5+32^5+(-36)^5 (-1)^5+(-19)^5+47^5+56^5+(-60)^5 21^5+(-63)^5+70^5+70^5+(-75)^5 10^5+42^5+(-68)^5+(-69)^5+78^5 26^5+103^5+(-255)^5+(-278)^5+307^5 (-351)^5+(-919)^5+(-928)^5+(-1160)^5+1281^5 476^5+(-1253)^5+(-1808)^5+(-2270)^5+2418^5 684 = 0^5+(-19)^5+47^5+56^5+(-60)^5 685 = (-2)^5+(-2)^5+(-2)^5+(-3)^5+4^5 1^5+(-19)^5+47^5+56^5+(-60)^5 136^5+243^5+383^5+564^5+(-581)^5 688 = 85^5+106^5+(-147)^5+(-157)^5+171^5 690 = (-5)^5+(-14)^5+22^5+22^5+(-25)^5 692 = (-12)^5+(-43)^5+60^5+79^5+(-82)^5 (-22)^5+(-110)^5+(-437)^5+(-1336)^5+1337^5 693 = 6^5+44^5+46^5+69^5+(-72)^5 38^5+87^5+286^5+373^5+(-391)^5 222^5+(-282)^5+(-306)^5+(-539)^5+548^5 (-99)^5+515^5+574^5+645^5+(-732)^5 694 = 16^5+(-37)^5+(-101)^5+(-134)^5+140^5 43^5+(-105)^5+131^5+177^5+(-182)^5 696 = (-1)^5+(-2)^5+3^5+3^5+3^5 86^5+(-119)^5+(-145)^5+(-252)^5+256^5 697 = 0^5+(-2)^5+3^5+3^5+3^5 698 = 1^5+(-2)^5+3^5+3^5+3^5 701 = (-8)^5+10^5+10^5+13^5+(-14)^5 534^5+1126^5+1581^5+1748^5+(-1948)^5 703 = 266^5+(-480)^5+706^5+996^5+(-1025)^5 704 = 8^5+(-56)^5+158^5+236^5+(-242)^5 706 = 67^5+(-911)^5+1169^5+1661^5+(-1700)^5 707 = (-28)^5+(-46)^5+62^5+108^5+(-109)^5 (-144)^5+(-145)^5+(-145)^5+(-171)^5+202^5 124^5+147^5+368^5+376^5+(-428)^5 711 = 7^5+(-9)^5+(-9)^5+(-9)^5+11^5 712 = 73^5+92^5+(-119)^5+(-147)^5+153^5 (-33)^5+(-55)^5+142^5+274^5+(-276)^5 713 = (-23)^5+82^5+(-136)^5+(-166)^5+176^5 (-122)^5+(-299)^5+396^5+585^5+(-597)^5 714 = (-257)^5+389^5+(-441)^5+(-876)^5+879^5 715 = 34^5+(-65)^5+(-71)^5+(-92)^5+99^5 15^5+120^5+(-319)^5+(-373)^5+402^5 716 = (-1)^5+(-2)^5+(-2)^5+(-3)^5+4^5 2^5+(-19)^5+47^5+56^5+(-60)^5 (-13)^5+21^5+81^5+122^5+(-125)^5 717 = 0^5+(-2)^5+(-2)^5+(-3)^5+4^5 (-95)^5+100^5+703^5+880^5+(-931)^5 718 = 1^5+(-2)^5+(-2)^5+(-3)^5+4^5 3^5+13^5+15^5+15^5+(-18)^5 (-95)^5+253^5+(-330)^5+(-402)^5+422^5 725 = (-12)^5+(-12)^5+32^5+37^5+(-40)^5 (-21)^5+(-30)^5+(-37)^5+(-49)^5+52^5 (-5)^5+(-217)^5+294^5+467^5+(-474)^5 726 = 193^5+(-228)^5+(-987)^5+(-1254)^5+1322^5 727 = (-1)^5+(-1)^5+3^5+3^5+3^5 728 = 0^5+(-1)^5+3^5+3^5+3^5 729 = 3^5+3^5+3^5+k^5+(-k)^5 730 = 0^5+1^5+3^5+3^5+3^5 (-11)^5+(-35)^5+59^5+80^5+(-83)^5 731 = 1^5+1^5+3^5+3^5+3^5 733 = (-166)^5+176^5+296^5+365^5+(-388)^5 734 = (-215)^5+237^5+241^5+391^5+(-400)^5 735 = (-3)^5+(-4)^5+(-9)^5+(-10)^5+11^5 736 = (-16)^5+23^5+41^5+58^5+(-60)^5 12^5+(-163)^5+(-186)^5+(-221)^5+244^5 (-46)^5+(-60)^5+156^5+258^5+(-262)^5 738 = (-7)^5+(-23)^5+182^5+224^5+(-238)^5 739 = (-75)^5+(-101)^5+(-138)^5+(-253)^5+256^5 743 = 7^5+8^5+10^5+10^5+(-12)^5 745 = 3^5+(-4)^5+(-5)^5+(-5)^5+6^5 747 = (-1)^5+(-1)^5+(-2)^5+(-3)^5+4^5 (-61)^5+(-61)^5+(-75)^5+(-80)^5+94^5 748 = 0^5+(-1)^5+(-2)^5+(-3)^5+4^5 749 = (-2)^5+(-3)^5+4^5+k^5+(-k)^5 (-2)^5+(-10)^5+(-20)^5+(-28)^5+29^5 (-35)^5+(-142)^5+152^5+164^5+(-170)^5 (-150)^5+(-204)^5+304^5+440^5+(-451)^5 (-394)^5+414^5+614^5+829^5+(-864)^5 (-460)^5+1050^5+1217^5+1809^5+(-1877)^5 750 = 0^5+1^5+(-2)^5+(-3)^5+4^5 (-10)^5+(-28)^5+40^5+53^5+(-55)^5 34^5+610^5+691^5+858^5+(-933)^5 751 = 1^5+1^5+(-2)^5+(-3)^5+4^5 40^5+(-50)^5+(-57)^5+(-63)^5+71^5 757 = 82^5+(-379)^5+480^5+594^5+(-620)^5 68^5+475^5+(-965)^5+(-993)^5+1122^5 759 = (-3)^5+28^5+(-79)^5+(-118)^5+121^5 760 = (-1)^5+2^5+3^5+3^5+3^5 (-2)^5+(-6)^5+19^5+26^5+(-27)^5 (-156)^5+(-247)^5+428^5+642^5+(-657)^5 (-391)^5+(-402)^5+(-794)^5+(-862)^5+959^5 (-261)^5+(-312)^5+(-642)^5+(-963)^5+988^5 761 = 0^5+2^5+3^5+3^5+3^5 (-30)^5+(-30)^5+43^5+55^5+(-57)^5 762 = 1^5+2^5+3^5+3^5+3^5 (-10)^5+19^5+(-28)^5+(-41)^5+42^5 765 = (-883)^5+908^5+(-1444)^5+(-1758)^5+1872^5 768 = 18^5+(-98)^5+204^5+248^5+(-264)^5 769 = (-3)^5+(-3)^5+(-6)^5+(-6)^5+7^5 (-3)^5+4^5+(-13)^5+(-16)^5+17^5 (-54)^5+(-63)^5+250^5+288^5+(-312)^5 770 = 5^5+5^5+11^5+13^5+(-14)^5 773 = 7^5+9^5+104^5+133^5+(-140)^5 (-281)^5+(-314)^5+350^5+459^5+(-461)^5 774 = (-35)^5+70^5+(-72)^5+(-88)^5+89^5 (-11)^5+25^5+(-51)^5+(-90)^5+91^5 775 = 746^5+(-1008)^5+1094^5+1248^5+(-1305)^5 776 = (-37)^5+(-45)^5+85^5+101^5+(-108)^5 (-23)^5+76^5+95^5+178^5+(-180)^5 778 = (-1)^5+(-1)^5+(-1)^5+(-3)^5+4^5 779 = 0^5+(-1)^5+(-1)^5+(-3)^5+4^5 (-9)^5+(-11)^5+(-12)^5+(-17)^5+18^5 780 = (-1)^5+(-3)^5+4^5+k^5+(-k)^5 (-1)^5+(-10)^5+(-20)^5+(-28)^5+29^5 (-25)^5+28^5+(-34)^5+(-52)^5+53^5 25^5+59^5+105^5+127^5+(-136)^5 (-97)^5+106^5+158^5+178^5+(-195)^5 18^5+137^5+(-156)^5+(-306)^5+307^5 185^5+(-1037)^5+1253^5+1483^5+(-1554)^5 781 = 0^5+(-3)^5+4^5+k^5+(-k)^5 0^5+(-10)^5+(-20)^5+(-28)^5+29^5 782 = 1^5+(-3)^5+4^5+k^5+(-k)^5 (-2)^5+(-2)^5+7^5+7^5+(-8)^5 1^5+(-10)^5+(-20)^5+(-28)^5+29^5 (-17)^5+(-23)^5+47^5+52^5+(-57)^5 (-8)^5+56^5+122^5+123^5+(-141)^5 (-29)^5+(-102)^5+(-186)^5+(-213)^5+232^5 783 = 0^5+1^5+1^5+(-3)^5+4^5 784 = 1^5+1^5+1^5+(-3)^5+4^5 786 = 16^5+53^5+60^5+93^5+(-96)^5 791 = (-9)^5+10^5+12^5+12^5+(-14)^5 8^5+(-9)^5+14^5+14^5+(-16)^5 (-1)^5+(-6)^5+19^5+26^5+(-27)^5 792 = 0^5+(-6)^5+19^5+26^5+(-27)^5 793 = 2^5+2^5+3^5+3^5+3^5 4^5+4^5+6^5+6^5+(-7)^5 (-3)^5+4^5+13^5+16^5+(-17)^5 1^5+(-6)^5+19^5+26^5+(-27)^5 16^5+25^5+(-62)^5+(-80)^5+84^5 (-62)^5+63^5+366^5+367^5+(-421)^5 106^5+249^5+(-590)^5+(-640)^5+708^5 794 = 23^5+(-24)^5+142^5+198^5+(-205)^5 800 = 28^5+62^5+(-114)^5+(-120)^5+134^5 (-70)^5+(-109)^5+(-137)^5+(-213)^5+219^5 (-70)^5+(-91)^5+158^5+222^5+(-229)^5 (-540)^5+(-548)^5+678^5+822^5+(-842)^5 (-5)^5+(-820)^5+(-889)^5+(-925)^5+1099^5 802 = (-2)^5+(-3)^5+(-4)^5+(-4)^5+5^5 160^5+(-179)^5+202^5+256^5+(-267)^5 327^5+367^5+377^5+579^5+(-608)^5 804 = 160^5+224^5+339^5+577^5+(-586)^5 805 = (-10)^5+(-11)^5+(-16)^5+(-18)^5+20^5 72^5+364^5+385^5+405^5+(-481)^5 806 = 14^5+(-28)^5+75^5+96^5+(-101)^5 (-36)^5+(-138)^5+361^5+394^5+(-435)^5 (-65)^5+(-83)^5+119^5+163^5+(-168)^5 93^5+217^5+(-710)^5+(-733)^5+829^5 811 = (-1)^5+(-1)^5+2^5+(-3)^5+4^5 (-12)^5+18^5+(-37)^5+(-50)^5+52^5 (-306)^5+(-559)^5+(-885)^5+(-1812)^5+1823^5 812 = 0^5+(-1)^5+2^5+(-3)^5+4^5 813 = 2^5+(-3)^5+4^5+k^5+(-k)^5 (-1)^5+(-2)^5+7^5+7^5+(-8)^5 2^5+(-10)^5+(-20)^5+(-28)^5+29^5 15^5+(-20)^5+(-23)^5+(-36)^5+37^5 149^5+(-173)^5+181^5+272^5+(-276)^5 22^5+(-163)^5+(-308)^5+(-732)^5+734^5 188^5+214^5+502^5+1597^5+(-1598)^5 (-915)^5+(-1817)^5+1971^5+1993^5+(-2099)^5 814 = 0^5+1^5+2^5+(-3)^5+4^5 0^5+(-2)^5+7^5+7^5+(-8)^5 815 = 1^5+1^5+2^5+(-3)^5+4^5 1^5+(-2)^5+7^5+7^5+(-8)^5 4^5+(-12)^5+14^5+15^5+(-16)^5 4^5+(-5)^5+39^5+48^5+(-51)^5 819 = 3^5+14^5+26^5+26^5+(-30)^5 824 = 2^5+(-6)^5+19^5+26^5+(-27)^5 12^5+(-26)^5+29^5+36^5+(-37)^5 826 = (-8)^5+12^5+13^5+18^5+(-19)^5 827 = 10^5+(-40)^5+(-44)^5+(-85)^5+86^5 35^5+36^5+507^5+576^5+(-627)^5 828 = 7^5+(-8)^5+(-13)^5+(-13)^5+15^5 829 = 5^5+(-6)^5+(-11)^5+(-13)^5+14^5 833 = (-1)^5+(-3)^5+(-4)^5+(-4)^5+5^5 (-9)^5+(-27)^5+30^5+37^5+(-38)^5 834 = 0^5+(-3)^5+(-4)^5+(-4)^5+5^5 835 = 1^5+(-3)^5+(-4)^5+(-4)^5+5^5 58^5+(-62)^5+(-71)^5+(-75)^5+85^5 19^5+(-62)^5+110^5+120^5+(-132)^5 657^5+(-679)^5+(-1069)^5+(-2619)^5+2625^5 836 = 151^5+188^5+(-286)^5+(-570)^5+573^5 837 = (-2)^5+(-15)^5+(-19)^5+(-20)^5+23^5 (-24)^5+(-62)^5+117^5+178^5+(-182)^5 133^5+(-179)^5+256^5+259^5+(-292)^5 (-180)^5+(-203)^5+(-206)^5+(-318)^5+334^5 839 = 19^5+(-83)^5+(-318)^5+(-409)^5+430^5 844 = (-1)^5+2^5+2^5+(-3)^5+4^5 (-1)^5+(-1)^5+7^5+7^5+(-8)^5 461^5+(-744)^5+810^5+879^5+(-922)^5 845 = 0^5+2^5+2^5+(-3)^5+4^5 0^5+(-1)^5+7^5+7^5+(-8)^5 (-429)^5+439^5+876^5+1746^5+(-1757)^5 846 = 7^5+7^5+(-8)^5+k^5+(-k)^5 1^5+2^5+2^5+(-3)^5+4^5 (-4)^5+5^5+6^5+6^5+(-7)^5 847 = 0^5+1^5+7^5+7^5+(-8)^5 848 = 1^5+1^5+7^5+7^5+(-8)^5 (-6)^5+7^5+8^5+9^5+(-10)^5 849 = (-19)^5+(-20)^5+(-46)^5+(-55)^5+59^5 850 = (-7)^5+(-7)^5+(-8)^5+(-8)^5+10^5 (-15)^5+23^5+(-29)^5+(-41)^5+42^5 4^5+(-5)^5+42^5+71^5+(-72)^5 (-72)^5+(-120)^5+(-317)^5+(-513)^5+522^5 148^5+(-695)^5+(-823)^5+(-912)^5+1032^5 851 = 11^5+(-19)^5+20^5+20^5+(-21)^5 852 = 23^5+(-50)^5+(-54)^5+(-83)^5+86^5 856 = (-16)^5+(-44)^5+(-45)^5+(-91)^5+92^5 (-168)^5+527^5+585^5+594^5+(-712)^5 857 = 100^5+210^5+227^5+373^5+(-383)^5 (-675)^5+(-703)^5+(-1061)^5+(-1080)^5+1256^5 859 = 133^5+179^5+(-237)^5+(-400)^5+404^5 860 = 308^5+513^5+537^5+639^5+(-717)^5 862 = 9^5+(-39)^5+(-39)^5+(-77)^5+78^5 864 = (-3)^5+10^5+(-15)^5+(-15)^5+17^5 866 = 2^5+(-3)^5+(-4)^5+(-4)^5+5^5 867 = (-47)^5+(-49)^5+124^5+275^5+(-276)^5 (-202)^5+(-301)^5+324^5+440^5+(-444)^5 868 = 7^5+8^5+14^5+18^5+(-19)^5 (-1)^5+(-15)^5+(-19)^5+(-20)^5+23^5 (-6)^5+17^5+18^5+28^5+(-29)^5 23^5+(-27)^5+35^5+40^5+(-43)^5 (-4)^5+(-4)^5+39^5+48^5+(-51)^5 18^5+(-44)^5+59^5+66^5+(-71)^5 (-10)^5+(-71)^5+161^5+165^5+(-187)^5 (-355)^5+665^5+744^5+983^5+(-1049)^5 869 = (-10)^5+(-11)^5+(-12)^5+(-14)^5+16^5 0^5+(-15)^5+(-19)^5+(-20)^5+23^5 (-22)^5+45^5+675^5+901^5+(-940)^5 870 = 1^5+(-15)^5+(-19)^5+(-20)^5+23^5 (-2)^5+16^5+17^5+26^5+(-27)^5 3^5+3^5+26^5+32^5+(-34)^5 (-24)^5+28^5+29^5+36^5+(-39)^5 251^5+(-282)^5+486^5+500^5+(-565)^5 871 = 18^5+(-57)^5+148^5+158^5+(-176)^5 875 = 10^5+65^5+(-137)^5+(-188)^5+195^5 877 = 2^5+2^5+2^5+(-3)^5+4^5 (-1)^5+2^5+7^5+7^5+(-8)^5 878 = 0^5+2^5+7^5+7^5+(-8)^5 879 = 1^5+2^5+7^5+7^5+(-8)^5 (-137)^5+(-184)^5+(-267)^5+(-317)^5+344^5 880 = +(-3)^5+5^5+9^5+10^5+(-11)^5 881 = 8^5+(-10)^5+14^5+17^5+(-18)^5 48^5+66^5+(-79)^5+(-82)^5+88^5 (-382)^5+708^5+(-757)^5+(-909)^5+931^5 882 = (-118)^5+(-864)^5+904^5+935^5+(-965)^5 883 = 3^5+4^5+(-26)^5+(-32)^5+34^5 (-304)^5+(-329)^5+(-455)^5+(-461)^5+542^5 888 = (-59)^5+70^5+98^5+211^5+(-212)^5 890 = (-13)^5+17^5+17^5+26^5+(-27)^5 (-29)^5+(-57)^5+(-58)^5+(-58)^5+72^5 892 = (-7)^5+10^5+(-12)^5+(-13)^5+14^5 (-17)^5+(-40)^5+52^5+64^5+(-67)^5 573^5+1474^5+(-1550)^5+(-1804)^5+1839^5 893 = (-223)^5+(-572)^5+598^5+609^5+(-629)^5 67^5+(-756)^5+1273^5+1841^5+(-1892)^5 894 = 23^5+62^5+(-139)^5+(-145)^5+163^5 213^5+(-472)^5+1657^5+1686^5+(-1920)^5 895 = (-35)^5+108^5+(-109)^5+(-110)^5+111^5 896 = (-2)^5+(-2)^5+(-2)^5+(-2)^5+4^5 900 = (-9)^5+(-26)^5+66^5+125^5+(-126)^5 901 = 2^5+(-15)^5+(-19)^5+(-20)^5+23^5 (-1)^5+16^5+17^5+26^5+(-27)^5 (-15)^5+26^5+(-104)^5+(-155)^5+159^5 (-29)^5+(-116)^5+930^5+1055^5+(-1149)^5 902 = 0^5+16^5+17^5+26^5+(-27)^5 41^5+50^5+(-62)^5+(-74)^5+77^5 903 = 1^5+16^5+17^5+26^5+(-27)^5 (-4)^5+(-4)^5+42^5+71^5+(-72)^5 16^5+(-34)^5+54^5+71^5+(-74)^5 (-24)^5+118^5+(-214)^5+(-409)^5+412^5 226^5+366^5+(-433)^5+(-497)^5+521^5 (-261)^5+(-347)^5+743^5+758^5+(-860)^5 49^5+(-103)^5+479^5+1259^5+(-1261)^5 904 = 7^5+(-19)^5+77^5+152^5+(-153)^5 910 = 2^5+2^5+7^5+7^5+(-8)^5 10^5+(-12)^5+13^5+14^5+(-15)^5 911 = (-5)^5+8^5+9^5+11^5+(-12)^5 914 = 4^5+(-6)^5+(-16)^5+(-17)^5+19^5 13^5+16^5+16^5+26^5+(-27)^5 56^5+64^5+(-78)^5+(-105)^5+107^5 (-105)^5+177^5+(-188)^5+(-191)^5+201^5 24^5+246^5+1105^5+1432^5+(-1503)^5 918 = 155^5+(-182)^5+(-197)^5+(-208)^5+240^5 924 = (-5)^5+14^5+17^5+20^5+(-22)^5 (-26)^5+(-98)^5+(-104)^5+(-131)^5+143^5 925 = 5^5+(-13)^5+(-29)^5+(-37)^5+39^5 49^5+116^5+221^5+575^5+(-576)^5 (-82)^5+272^5+350^5+718^5+(-723)^5 (-80)^5+257^5+903^5+926^5+(-1051)^5 927 = (-1)^5+(-2)^5+(-2)^5+(-2)^5+4^5 3^5+(-19)^5+47^5+56^5+(-60)^5 89^5+(-98)^5+147^5+147^5+(-168)^5 928 = 0^5+(-2)^5+(-2)^5+(-2)^5+4^5 929 = 1^5+(-2)^5+(-2)^5+(-2)^5+4^5 934 = 2^5+16^5+17^5+26^5+(-27)^5 (-14)^5+17^5+36^5+37^5+(-42)^5 (-68)^5+90^5+(-195)^5+(-199)^5+226^5 20^5+(-161)^5+508^5+1223^5+(-1226)^5 936 = 155^5+(-220)^5+228^5+268^5+(-275)^5 (-567)^5+(-679)^5+1123^5+1960^5+(-1981)^5 938 = (-85)^5+101^5+(-129)^5+(-277)^5+278^5 940 = (-2)^5+3^5+3^5+3^5+3^5 943 = (-126)^5+470^5+(-487)^5+(-619)^5+625^5 944 = (-179)^5+(-421)^5+771^5+805^5+(-902)^5 945 = (-211)^5+(-397)^5+(-399)^5+(-1194)^5+1196^5 946 = (-2)^5+(-4)^5+(-9)^5+(-10)^5+11^5 25^5+(-39)^5+66^5+76^5+(-82)^5 955 = (-20)^5+(-22)^5+(-24)^5+(-42)^5+43^5 5^5+(-13)^5+(-29)^5+(-37)^5+39^5 (-6)^5+(-31)^5+(-33)^5+(-38)^5+43^5 (-20)^5+(-22)^5+(-24)^5+(-42)^5+43^5 (-53)^5+100^5+(-185)^5+(-231)^5+244^5 (-88)^5+(-232)^5+459^5+492^5+(-546)^5 956 = (-45)^5+(-46)^5+61^5+67^5+(-71)^5 15^5+(-21)^5+(-60)^5+(-93)^5+95^5 (-45)^5+(-144)^5+(-321)^5+(-391)^5+417^5 957 = (-44)^5+(-58)^5+70^5+114^5+(-115)^5 (-131)^5+295^5+402^5+425^5+(-484)^5 193^5+(-803)^5+877^5+1039^5+(-1069)^5 958 = (-1)^5+(-1)^5+(-2)^5+(-2)^5+4^5 (-655)^5+(-1024)^5+(-1149)^5+(-1271)^5+1457^5 959 = 0^5+(-1)^5+(-2)^5+(-2)^5+4^5 960 = (-2)^5+(-2)^5+4^5+k^5+(-k)^5 (-24)^5+92^5+(-1330)^5+(-1554)^5+1676^5 961 = 0^5+1^5+(-2)^5+(-2)^5+4^5 962 = 1^5+1^5+(-2)^5+(-2)^5+4^5 966 = 693^5+(-1009)^5+1074^5+1119^5+(-1181)^5 967 = (-35)^5+54^5+(-82)^5+(-85)^5+95^5 (-763)^5+766^5+(-809)^5+(-878)^5+971^5 968 = (-57)^5+(-139)^5+145^5+219^5+(-220)^5 19^5+148^5+(-253)^5+(-257)^5+291^5 970 = (-2)^5+28^5+(-79)^5+(-118)^5+121^5 (-99)^5+(-117)^5+(-125)^5+(-145)^5+166^5 971 = (-1)^5+3^5+3^5+3^5+3^5 4^5+4^5+4^5+4^5+(-5)^5 972 = 0^5+3^5+3^5+3^5+3^5 753^5+(-792)^5+1323^5+1620^5+(-1722)^5 973 = 1^5+3^5+3^5+3^5+3^5 976 = (-25)^5+(-54)^5+(-56)^5+(-119)^5+120^5 (-69)^5+109^5+(-329)^5+(-367)^5+402^5 977 = (-1)^5+(-4)^5+(-9)^5+(-10)^5+11^5 (-9)^5+25^5+33^5+46^5+(-48)^5 (-74)^5+(-99)^5+(-100)^5+(-111)^5+131^5 978 = 0^5+(-4)^5+(-9)^5+(-10)^5+11^5 62^5+101^5+(-117)^5+(-179)^5+181^5 979 = 1^5+(-4)^5+(-9)^5+(-10)^5+11^5 980 = (-2)^5+(-3)^5+(-6)^5+(-6)^5+7^5 (-2)^5+4^5+(-13)^5+(-16)^5+17^5 987 = (-106)^5+161^5+343^5+371^5+(-412)^5 47^5+(-339)^5+(-477)^5+(-487)^5+563^5 (-428)^5+985^5+(-1178)^5+(-1961)^5+1979^5 989 = (-1)^5+(-1)^5+(-1)^5+(-2)^5+4^5 990 = 0^5+(-1)^5+(-1)^5+(-2)^5+4^5 991 = (-1)^5+(-2)^5+4^5+k^5+(-k)^5 30^5+37^5+57^5+81^5+(-84)^5 992 = 0^5+(-2)^5+4^5+k^5+(-k)^5 20^5+(-40)^5+(-40)^5+(-66)^5+68^5 (-40)^5+58^5+(-80)^5+(-106)^5+110^5 (-30)^5+(-55)^5+(-155)^5+(-307)^5+309^5 993 = 1^5+(-2)^5+4^5+k^5+(-k)^5 (-7)^5+62^5+113^5+119^5+(-134)^5 86^5+119^5+(-152)^5+(-175)^5+185^5 273^5+295^5+(-360)^5+(-548)^5+553^5 (-1007)^5+(-1190)^5+1930^5+1977^5+(-2217)^5 994 = 0^5+1^5+1^5+(-2)^5+4^5 130^5+136^5+(-547)^5+(-891)^5+906^5 995 = 1^5+1^5+1^5+(-2)^5+4^5 (-8)^5+(-8)^5+(-10)^5+(-13)^5+14^5 998 = 7^5+(-31)^5+34^5+35^5+(-37)^5 999 = 8^5+(-11)^5+(-20)^5+(-23)^5+25^5 304^5+1154^5+1430^5+2016^5+(-2105)^5 1000 = 8^5+(-9)^5+12^5+14^5+(-15)^5 105^5+134^5+201^5+291^5+(-301)^5 ------------------------ n > 1000 ------------------------ 8^5 = 21^5+43^5+(-62)^5+(-68)^5+74^5 13^5 = 18^5+44^5+(-51)^5+(-64)^5+66^5 19^5 = (-43)^5+(-46)^5+(-47)^5+(-67)^5+72^5 27^5 = (-84)^5+(-110)^5+(-133)^5+144^5 39^5 = 49^5+75^5+(-92)^5+(-100)^5+107^5 55^5 = (-3183)^5+(-28969)^5+(-85282)^5+85359^5 72^5 = 19^5+43^5+46^5+47^5+67^5 94^5 = 21^5+23^5+37^5+79^5+84^5 107^5 = 7^5+43^5+57^5+80^5+100^5 365^5 = 78^5+120^5+191^5+259^5+347^5 415^5 = 79^5+202^5+258^5+261^5+395^5 427^5 = 4^5+26^5+139^5+296^5+412^5 435^5 31^5+105^5+139^5+314^5+416^5 480^5 = 54^5+91^5+101^5+404^5+430^5 503^5 = 19^5+201^5+347^5+388^5+448^5 530^5 = 159^5+172^5+200^5+356^5+513^5 553^5 = 218^5+276^5+385^5+409^5+495^5 575^5 = 2^5+298^5+351^5+474^5+500^5 54748 = 5^5+4^5+7^5+4^5+8^5 92727 = 9^5+2^5+7^5+2^5+7^5 93084 = 9^5+3^5+0^5+8^5+4^5 87781 (=12^5-11^5) = 4^5+5^5+6^5+7^5+9^5 Vicky Neale's lecture on YouTube : https://www.youtube.com/watch?v=gII2g4TD_7g Sums of sixth powers 0=3^6-10^6-15^6+19^6+22^6-23^6 Sums of seventh powers 1741725 = 1^7+7^7+4^7+1^7+7^7+2^7+5^7 568^7=127^7+258^7+266^7+413^7+430^7+439^7+469^7+525^7 Sums of eight powers 1409^8 = 90^8+223^8+478^8+524^8+748^8+1088^8+1190^8+1324^8 0 = -81^8+158^8+310^8+481^8-539^8+725^8+954^8-966^8