World!OfNumbers |
WON plate 119 | |
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[ I hope it will become fully exposed but for that to happen I very much need your contributions. What I am particularly interested in are Nine- & Pandigital numbers with noteworthy properties or curiosities when converted in other base systems. As for myself I am a little bit hooked up to palindromes so my exampleswill come from that angle but that is absolutely not a requirement ! 9518234076 = 1DOGGOD1_{{25}}A mystical revelation. Is there only 1 god ? 9510284673 = 106666666601_{{8}}The binary bounded expanded beast ! Note the 8 sixes. 1394257806 = _{{7}}9458132760 = B7966697B_{{13}}The indiscriminate beast, present in lucky base 7 as in unlucky base 13 ! 1068274359 = _{{22}}1980467253 = HA666AH_{{22}}2183675904 = EH666HE_{{23}}2956037184 = JM666MJ_{{23}}6240573918 = K56665K_{{26}}The beast hides in other places as well. The following is my favourite one _{{11}}Note that the sum of the two sidenumbers 234 + 432 equals the beastly middle part 666 and495 + 328 + 176 is 999 or the beast upside down !351872469 = 99A11A99_{{12}}The only ninedigital that is palindromic in base 12. 937186452 = 11MOM11_{{31}}7851423096 = D5MOM5D_{{29}}5846103279 = 3QMOMQ3_{{34}}Tribute to my parents. But where are my DAD's ? Oh, here they are ! More DAD's than MOM's ? _{{14}}8467509312 = 13ADADA31_{{17}}1724385609 = 90DAD09_{{24}}9421368570 = 54DAD45_{{35}}143287569 = 1000100010100110010100010001_{{2}}1058674239 = 111111000110100001011000111111_{{2}}The smallest nine- & pandigitals that are base 2 palindromic. What are the largest solutions ? What is wrong with bases {3} and {9} ? I didn't find any nine- or pandigitals that are palindromic | |||

A000119 Prime Curios! Prime Puzzle Wikipedia 119 Le nombre 119 |

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