Thread: Right Perfect Prime Numbers View Single Post
 2008-05-28, 11:01 #5 ATH Einyen     Dec 2003 Denmark 307110 Posts I trialfactored P+1 for the 44 known perfect numbers P and did ECM on 1 of them: 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 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: ? 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 So perfectnumber+1 are prime for p=2,3,13 and 19 and unknown for p=132049 (79502 digits) which I trialfactored to 18*109. Last fiddled with by ATH on 2008-05-28 at 11:08