Thread: Right Perfect Prime Numbers View Single Post
 2008-09-16, 23:19 #10 ATH Einyen     Dec 2003 Denmark 2·13·113 Posts Updated list: Code: p: factor(s) of 2p-1*(2p-1) + 1 ------------------------------------------------------------------ 2: prime 3: prime 5: 7 , 71 7: 11 , 739 13: prime 17: 7 , 11 , 111556741 19: prime 31: 29 , 71 , 137 , 1621 , 5042777503 61: 2432582681 , 1092853292237112554142488617 89: 7 107: 7 , 11 , 67 127: 11 , 107 , 261697 521: 7 , 71 607: 11 1279: 72353441721527140856665601867 2203: 60449 , 1498429 , 711309659, 1418050069 2281: 197 , 557 , 1999 , 92033 3217: 11 4253: 7 , 53 , 8731 , 2353129 , 50820071 4423: 2163571 9689: 7 , 211 , 49922567 9941: 7 , 67 , 1605697 , 194147011 11213: 7 19937: 7 , 11 , 1129 , 168457 21701: 7 23209: 35603 , 620377 44497: 11 , 13259 , 16177141 , 896297147 86243: 7 , 29 , 301123 , 26072029 110503: 491 , 1493 , 1529761 132049: 194528547122653 216091: 4673 , 6920341 756839: 7 859433: 7 1257787: 11 1398269: 7 , 53 , 12713 , 17425081 , 199979189 2976221: 7 , 71 3021377: 7 , 11 , 49603 6972593: 7 , 6007 , 8392897 , 52193821 13466917: 11 , 45007 20996011: 1552147 , 114242767 24036583: 149 25964951: 7 30402457: 11 32582657: 7 , 11 , 67 , 34549 , 127541 37156667: 7 , 11 , 44753 , 202577 , 1282451377 42643801: 3593 , 7089208037 43112609: 7 , 211 , 70121 , 71647 , 1846524311 57885161: 7 , 22127627 74207281: No factor < 6*1012 77232917: 7 , 11 , 11587 82589933: 7 , 67 , 599 , 7347113 , 14416229 So of the now 51 known perfect numbers P=2p-1*(2p-1), P+1 is only still prime for p=2,3,13 and 19, and status unknown for p=74207281. Last fiddled with by ATH on 2020-01-30 at 03:13