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Palindromic Wing Primes Sorted By Length
1   2   3   4   5   6  Palindromic Wing Primes

PWP ( A077797 )	Formula exp = # of digits
Length 3	Total = 15
(1)10(1)1	(103–1)/9 – 101
(1)13(1)1	(103–1)/9 + 2*101
(1)15(1)1	(103–1)/9 + 4*101
(1)18(1)1	(103–1)/9 + 7*101
(1)19(1)1	(103–1)/9 + 8*101
(3)11(3)1	(103–1)/3 – 2*101
(3)15(3)1	(103–1)/3 + 2*101
(3)17(3)1	(103–1)/3 + 4*101
(3)18(3)1	(103–1)/3 + 5*101
(7)12(7)1	7*(103–1)/9 – 5*101
(7)15(7)1	7*(103–1)/9 – 2*101
(7)18(7)1	7*(103–1)/9 + 101
(7)19(7)1	7*(103–1)/9 + 2*101
(9)11(9)1	(103–1) – 8*101
(9)12(9)1	(103–1) – 7*101
Length 5	Total = 6
(1)23(1)2	(105–1)/9 + 2*102
(1)24(1)2	(105–1)/9 + 3*102
(3)25(3)2	(105–1)/3 + 2*102
(7)23(7)2	7*(105–1)/9 – 4*102
(7)24(7)2	7*(105–1)/9 – 3*102
(7)29(7)2	7*(105–1)/9 + 2*102
Length 7	Total = 7
(1)34(1)3	(107–1)/9 + 3*103
(1)37(1)3	(107–1)/9 + 6*103
(3)31(3)3	(107–1)/3 – 2*103
(3)37(3)3	(107–1)/3 + 4*103
(7)32(7)3	7*(107–1)/9 – 5*103
(7)34(7)3	7*(107–1)/9 – 3*103
(7)38(7)3	7*(107–1)/9 + 103
Length 9	Total = 3
(1)48(1)4	(109–1)/9 + 7*104
(1)49(1)4	(109–1)/9 + 8*104
(7)46(7)4	7*(109–1)/9 – 104
Length 11	Total = 2
(7)56(7)5	7*(1011–1)/9 – 105
(9)51(9)5	(1011–1) – 8*105
Length 13	Total = 2
(1)68(1)6	(1013–1)/9 + 7*106
(7)64(7)6	7*(1013–1)/9 – 3*106
Length 15	Total = 7
(1)75(1)7	(1015–1)/9 + 4*107
(1)78(1)7	(1015–1)/9 + 7*107
(3)71(3)7	(1015–1)/3 – 2*107
(3)77(3)7	(1015–1)/3 + 4*107
(3)78(3)7	(1015–1)/3 + 5*107
(7)72(7)7	7*(1015–1)/9 – 5*107
(7)75(7)7	7*(1015–1)/9 – 2*107
Length 17	Total = 3
(7)86(7)8	7*(1017–1)/9 – 108
(7)89(7)8	7*(1017–1)/9 + 2*108
(9)82(9)8	(1017–1) – 7*108
Length 19	Total = 1
(9)92(9)9	(1019–1) – 7*109
Length 21	Total = 2
(1)106(1)10	(1021–1)/9 + 5*1010
(7)102(7)10	7*(1021–1)/9 – 5*1010
Length 23	Total = 2
(3)117(3)11	(1023–1)/3 + 4*1011
(7)116(7)11	7*(1023–1)/9 – 1011
Length 25	Total = 1
(7)122(7)12	7*(1025–1)/9 – 5*1012
Length 27	Total = 3
(3)137(3)13	(1027–1)/3 + 4*1013
(7)135(7)13	7*(1027–1)/9 – 2*1013
(9)131(9)13	(1027–1) – 8*1013
Length 29	Total = 2
(1)146(1)14	(1029–1)/9 + 5*1014
(9)144(9)14	(1029–1) – 5*1014
Length 35	Total = 2
(3)175(3)17	(1035–1)/3 + 2*1017
(3)177(3)17	(1035–1)/3 + 4*1017
Length 39	Total = 2
(1)193(1)19	(1039–1)/9 + 2*1019
(7)199(7)19	7*(1039–1)/9 + 2*1019
Length 41	Total = 1
(7)209(7)20	7*(1041–1)/9 + 2*1020
Length 45	Total = 1
(9)224(9)22	(1045–1) – 5*1022
Length 47	Total = 1
(7)234(7)23	7*(1047–1)/9 – 3*1023
Length 53	Total = 2
(1)269(1)26	(1053–1)/9 + 8*1026
(9)268(9)26	(1053–1) – 1026
Length 59	Total = 1
(3)297(3)29	(1059–1)/3 + 4*1029
Length 63	Total = 1
(3)317(3)31	(1063–1)/3 + 4*1031
Length 65	Total = 1
(1)324(1)32	(1065–1)/9 + 3*1032
Length 67	Total = 2
(1)337(1)33	(1067–1)/9 + 6*1033
(3)337(3)33	(1067–1)/3 + 4*1033
Length 73	Total = 2
(7)364(7)36	7*(1073–1)/9 – 3*1036
(9)364(9)36	(1073–1) – 5*1036
Length 79	Total = 1
(7)398(7)39	7*(1079–1)/9 + 1039
Length 81	Total = 1
(1)406(1)40	(1081–1)/9 + 5*1040
Length 87	Total = 1
(9)431(9)43	(1087–1) – 8*1043
Length 91	Total = 2
(1)454(1)45	(1091–1)/9 + 3*1045
(1)455(1)45	(1091–1)/9 + 4*1045
Length 109	Total = 1
(7)548(7)54	7*(10109–1)/9 + 1054
Length 117	Total = 1
(7)585(7)58	7*(10117–1)/9 – 2*1058
Length 119	Total = 1
(1)596(1)59	(10119–1)/9 + 5*1059
Length 123	Total = 1
(3)611(3)61	(10123–1)/3 – 2*1061
Length 139	Total = 1
(7)694(7)69	7*(10139–1)/9 – 3*1069
Length 155	Total = 1
(3)777(3)77	(10155–1)/3 + 4*1077
Length 159	Total = 1
(3)795(3)79	(10159–1)/3 + 2*1079
Length 171	Total = 1
(3)858(3)85	(10171–1)/3 + 5*1085
Length 177	Total = 1
(9)885(9)88	(10177–1) – 4*1088
Length 181	Total = 1
(3)901(3)90	(10181–1)/3 – 2*1090
Length 185	Total = 1
(3)921(3)92	(10185–1)/3 – 2*1092
Length 189	Total = 1
(3)948(3)94	(10189–1)/3 + 5*1094
Length 195	Total = 1
(1)973(1)97	(10195–1)/9 + 2*1097
Length 209	Total = 1
(9)1044(9)104	(10209–1) – 5*10104
Length 225	Total = 1
(9)1125(9)112	(10225–1) – 4*10112
Length 231	Total = 1
(1)1155(1)115	(10231–1)/9 + 4*10115
Length 233	Total = 1
(7)1161(7)116	7*(10233–1)/9 – 6*10116
Length 237	Total = 2
(3)1185(3)118	(10237–1)/3 + 2*10118
(9)1187(9)118	(10237–1) – 2*10118
Length 259	Total = 1
(7)1295(7)129	7*(10259–1)/9 – 2*10129
Length 321	Total = 1
(1)1606(1)160	(10321–1)/9 + 5*10160
Length 325	Total = 1
(3)1625(3)162	(10325–1)/3 + 2*10162
Length 337	Total = 1
(7)1688(7)168	7*(10337–1)/9 + 10168
Length 339	Total = 1
(9)1691(9)169	(10339–1) – 8*10169
Length 355	Total = 1
(3)1775(3)177	(10355–1)/3 + 2*10177
Length 363	Total = 1
(9)1811(9)181	(10363–1) – 8*10181
Length 371	Total = 1
(3)1855(3)185	(10371–1)/3 + 2*10185
Length 375	Total = 1
(1)1879(1)187	(10375–1)/9 + 8*10187
Length 397	Total = 1
(9)1985(9)198	(10397–1) – 4*10198
Length 425	Total = 1
(7)2129(7)212	7*(10425–1)/9 + 2*10212
Length 453	Total = 1
(1)2269(1)226	(10453–1)/9 + 8*10226
Length 481	Total = 2 [ Largest duo ]
(3)2405(3)240	(10481–1)/3 + 2*10240
(7)2408(7)240	7*(10481–1)/9 + 10240
Length 507	Total = 1
(7)2535(7)253	7*(10507–1)/9 – 2*10253
Length 539	Total = 1
(3)2691(3)269	(10539–1)/3 – 2*10269
Length 547	Total = 1
(3)2738(3)273	(10547–1)/3 + 5*10273
Length 561	Total = 1
(7)2809(7)280	7*(10561–1)/9 + 2*10280
Length 597	Total = 1
(3)2981(3)298	(10597–1)/3 – 2*10298
Length 623	Total = 1
(1)3117(1)311	(10623–1)/9 + 6*10311
Length 643	Total = 1
(3)3211(3)321	(10643–1)/3 – 2*10321
Length 705	Total = 1
(9)3522(9)352	(10705–1) – 7*10352
Length 713	Total = 1
(3)3568(3)356	(10713–1)/3 + 5*10356
Length 743	Total = 1
(3)3711(3)371	(10743–1)/3 – 2*10371
Length 757	Total = 1
(9)3788(9)378	(10757–1) – 10378
Length 769	Total = 1
(1)3848(1)384	(10769–1)/9 + 7*10384
Length 825	Total = 1
(1)4126(1)412	(10825–1)/9 + 5*10412
Length 961	Total = 1
(7)4802(7)480	7*(10961–1)/9 – 5*10480
Length 1061	Total = 1
(9)5302(9)530	(101061–1) – 7*10530
Length 1121	Total = 1
(1)5606(1)560	(101121–1)/9 + 5*10560
Length 1123	Total = 1
(7)5614(7)561	7*(101123–1)/9 – 3*10561
Length 1245	Total = 1
(9)6225(9)622	(101245–1) – 4*10622
Length 1333	Total = 1
(1)6668(1)666	(101333–1)/9 + 7*10666
Length 1351	Total = 1
(1)6758(1)675	(101351–1)/9 + 7*10675
Length 1363	Total = 1
(1)6815(1)681	(101363–1)/9 + 4*10681
Length 1395	Total = 1
(9)6972(9)697	(101395–1) – 7*10697
Length 1447	Total = 1
(7)7234(7)723	7*(101447–1)/9 – 3*10723
Length 1553	Total = 1
(3)7761(3)776	(101553–1)/3 – 2*10776
Length 1649	Total = 1
(3)8245(3)824	(101649–1)/3 + 2*10824
Length 1749	Total = 1
(1)8749(1)874	(101749–1)/9 + 8*10874
Length 1775	Total = 1
(7)8879(7)887	7*(101775–1)/9 + 2*10887
Length 1867	Total = 1
(3)9337(3)933	(101867–1)/3 + 4*10933
Length 1899	Total = 1
(7)9492(7)949	7*(101899–1)/9 – 5*10949
Length 2043	Total = 1
(7)10219(7)1021	7*(102043–1)/9 + 2*101021
Length 2155	Total = 1
(3)10778(3)1077	(102155–1)/3 + 5*101077
Length 2273	Total = 1
(9)11364(9)1136	(102273–1) – 5*101136
Length 2489	Total = 1
(7)12446(7)1244	7*(102489–1)/9 – 101244
Length 2493	Total = 1
(9)12468(9)1246	(102493–1) – 101246
Length 2497	Total = 1
(1)12485(1)1248	(102497–1)/9 + 4*101248
Length 2579	Total = 1
(1)12896(1)1289	(102579–1)/9 + 5*101289
Length 2631	Total = 1
(9)13152(9)1315	(102631–1) – 7*101315
Length 3089	Total = 1
(1)15444(1)1544	(103089–1)/9 + 3*101544
Length 3111	Total = 1
(3)15557(3)1555	(103111–1)/3 + 4*101555
Length 3135	Total = 1
(3)15671(3)1567	(103135–1)/3 – 2*101567
Length 3159	Total = 1
(9)15791(9)1579	(103159–1) – 8*101579
Length 3315	Total = 1
(7)16575(7)1657	7*(103315–1)/9 – 2*101657
Length 3371	Total = 1
(7)16856(7)1685	7*(103371–1)/9 – 101685
Length 3595	Total = 1
(3)17978(3)1797	(103595–1)/3 + 5*101797
Length 3597	Total = 1
(9)17988(9)1798	(103597–1) – 101798
Length 3641	Total = 1
(3)18205(3)1820	(103641–1)/3 + 2*101820
Length 3693	Total = 1
(1)18466(1)1846	(103693–1)/9 + 5*101846
Length 3837	Total = 1
(9)19182(9)1918	(103837–1) – 7*101918
Length 3891	Total = 1
(7)19452(7)1945	7*(103891–1)/9 – 5*101945
Length 4019	Total = 1
(7)20096(7)2009	7*(104019–1)/9 – 102009
Length 4489	Total = 1
(7)22445(7)2244	7*(104489–1)/9 – 2*102244
Length 4709	Total = 1
(3)23545(3)2354	(104709–1)/3 + 2*102354
Length 4769	Total = 1
(3)23841(3)2384	(104769–1)/3 – 2*102384
Length 4875	Total = 1
(7)24375(7)2437	7*(104875–1)/9 – 2*102437
Length 4963	Total = 1
(1)24815(1)2481	(104963–1)/9 + 4*102481
Length 5133	Total = 1
(3)25661(3)2566	(105133–1)/3 – 2*102566
Length 5379	Total = 1
(1)26895(1)2689	(105379–1)/9 + 4*102689
Length 5749	Total = 1
(9)28742(9)2874	(105749–1) – 7*102874
Length 5835	Total = 1
(9)29178(9)2917	(105835–1) – 102917
Length 5867	Total = 1
(1)29337(1)2933	(105867–1)/9 + 6*102933
Length 6177	Total = 1
(3)30881(3)3088	(106177–1)/3 – 2*103088
Length 6331	Total = 1
(1)31658(1)3165	(106331–1)/9 + 7*103165
Length 6877	Total = 1
(7)34384(7)3438	7*(106877–1)/9 – 3*103438
From here on not all PWP's are prime proven!
Length 8209	Total = 1
(7)41044(7)4104	7*(108209–1)/9 – 3*104104
Length 8457	Total = 1
(9)42285(9)4228	(108457–1) – 4*104228
Length 10657	Total = 1
(7)53288(7)5328	7*(1010657–1)/9 + 105328
Length 11031	Total = 1
(7)55159(7)5515	7*(1011031–1)/9 + 2*105515
Length 11733	Total = 1
(3)58661(3)5866	(1011733–1)/3 – 2*105866
Length 11753	Total = 1
(9)58762(9)5876	(1011753–1) – 7*105876
Length 12319	Total = 1
(7)61598(7)6159	7*(1012319–1)/9 + 106159
Length 12397	Total = 1
(1)61985(1)6198	(1012397–1)/9 + 4*106198
Length 13517	Total = 1
(3)67588(3)6758	(1013517–1)/3 + 5*106758
Length 13537	Total = 1
(9)67682(9)6768	(1013537–1) – 7*106768
Length 15097	Total = 1
(7)75482(7)7548	7*(1015097–1)/9 – 5*107548
Length 15849	Total = 1
(7)79245(7)7924	7*(1015849–1)/9 – 2*107924
Length 16103	Total = 1
(3)80511(3)8051	(1016103–1)/3 – 2*108051
Length 16233	Total = 1
(7)81169(7)8116	7*(1016233–1)/9 + 2*108116
Length 17847	Total = 1
(7)89232(7)8923	7*(1017847–1)/9 – 5*108923
Length 18041	Total = 1
(7)90204(7)9020	7*(1018041–1)/9 – 3*109020
Length 18997	Total = 1
(3)94981(3)9498	(1018997–1)/3 – 2*109498
Length 19637	Total = 1
(1)98183(1)9818	(1019637–1)/9 + 2*109818
Length 19807	Total = 1
(7)99035(7)9903	7*(1019807–1)/9 – 2*109903
Length 20105	Total = 1
(9)100525(9)10052	(1020105–1) – 4*1010052
Length 23517	Total = 1
(3)117587(3)11758	(1023517–1)/3 + 4*1011758
Length 23705	Total = 1
(7)118529(7)11852	7*(1023705–1)/9 + 2*1011852
Length 23799	Total = 1
(7)118995(7)11899	7*(1023799–1)/9 – 2*1011899
Length 25271	Total = 1
(3)126351(3)12635	(1025271–1)/3 – 2*1012635
Length 26395	Total = 1
(1)131975(1)13197	(1026395–1)/9 + 4*1013197
Length 26619	Total = 1
(1)133099(1)13309	(1026619–1)/9 + 8*1013309
Length 27955	Total = 1
(7)139774(7)13977	7*(1027955–1)/9 – 3*1013977
Length 29315	Total = 1
(7)146576(7)14657	7*(1029315–1)/9 – 1014657
Length 30237	Total = 1
(7)151186(7)15118	7*(1030237–1)/9 – 1015118
Length 35729	Total = 1
(9)178644(9)17864	(1035729–1) – 5*1017864
Length 36155	Total = 1
(9)180771(9)18077	(1036155–1) – 8*1018077
Length 36315	Total = 1
(7)181575(7)18157	7*(1036315–1)/9 – 2*1018157
Length 37915	Total = 1
(7)189575(7)18957	7*(1037915–1)/9 – 2*1018957
Length 39311	Total = 1
(7)196554(7)19655	7*(1039311–1)/9 – 3*1019655
Length 40665	Total = 1
(7)203326(7)20332	7*(1040665–1)/9 – 1020332
Length 44471	Total = 1
(1)222357(1)22235	(1044471–1)/9 + 6*1022235
Length 45305	Total = 1
(9)226521(9)22652	(1045305–1) – 8*1022652
Length 46069	Total = 1
(9)230348(9)23034	(1046069–1) – 1023034
Length 47331	Total = 1
(7)236655(7)23665	7*(1047331–1)/9 – 2*1023665
Length 49025	Total = 1
(3)245121(3)24512	(1049025–1)/3 – 2*1024512
Length 49351	Total = 1
(7)246758(7)24675	7*(1049351–1)/9 + 1024675
Length 50897	Total = 1
(9)254484(9)25448	(1050897–1) – 5*1025448
Length 60465	Total = 1
(3)302328(3)30232	(1060465–1)/3 + 5*1030232
Length 64801	Total = 1
(7)324004(7)32400	7*(1064801–1)/9 – 3*1032400
Length 65043	Total = 1
(3)325211(3)32521	(1065043–1)/3 – 2*1032521
Length 78331	Total = 1
(1)391657(1)39165	(1078331–1)/9 + 6*1039165
Length 83171	Total = 1
(1)415857(1)41585	(1083171–1)/9 + 6*1041585
Length 87965	Total = 1
(3)439821(3)43982	(1087965–1)/3 – 2*1043982
Length 95019	Total = 1
(9)475098(9)47509	(1095019–1) – 1047509
Length 101661	Total = 1
(7)508306(7)50830	7*(10101661–1)/9 – 1050830
Length 104281	Total = 1
(9)521408(9)52140	(10104281–1) – 1052140
Length 104455	Total = 1
(7)522278(7)52227	7*(10104455–1)/9 + 1052227
Length 111725	Total = 1
(9)558625(9)55862	(10111725–1) – 4*1055862
Length 120253	Total = 1
(1)601265(1)60126	(10120253–1)/9 + 4*1060126
Length 125877	Total = 1
(9)629382(9)62938	(10125877–1) – 7*1062938
Length 134809	Total = 1
(9)674048(9)67404	(10134809–1) – 1067404
Length 150125	Total = 1
(7)750626(7)75062	7*(10150125–1)/9 – 1075062
Length 200145	Total = 1
(1)1000725(1)100072	(10200145–1)/9 + 4*10100072
Length 211219	Total = 1
(7)1056095(7)105609	7*(10211219–1)/9 – 2*10105609
Length 227775	Total = 1
(7)1138878(7)113887	7*(10227775–1)/9 + 10113887
Length 235415	Total = 1
(3)1177077(3)117707	(10235415–1)/3 + 4*10117707
Length 262041	Total = 1
(1)1310208(1)131020	(10262041–1)/9 + 7*10131020
Length 269479	Total = 1
(9)1347392(9)134739	(10269479–1) – 7*10134739
Length 269623	Total = 1
(3)1348115(3)134811	(10{269623}–1)/3 + 2*10134811
Length 290253	Total = 1
(9)1451267(9)145126	(10290253–1) – 2*10145126
Length 314727	Total = 1
(9)1573631(9)157363	(10314727–1) – 8*10157363
Length 1888529	Total = 1
(9)9442648(9)944264	(101888529–1) – 10944264

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( © All rights reserved ) - Last modified : August 4, 2024.

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Patrick De Geest - Belgium - Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com

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