.LOG
Near-Cullen & Near-Woodall primes

news: 

9/11/9 Harvey finds (587823+1)*2^587823-1

5/19/9 Harvey finds (534507-1)*2^534507+1

11/20/8 Harvey finds (460575-1)*2^460575+1

9/25/8 Harvey finds (446694-1)*2^446694-1, 134474 digits

9/24/7  Harvey finds (373347-1)*2^373347+1, 112395 digits

2/27/5 Harvey finds (338485-1)*2^338485+1, 101900 digits

6/7/4 Harvey finds (247038+1)*2^247038+1, 74327 digits

form (k+/-1)*2^k+/-1

(1+1)*2^1-1
(2+1)*2^2-1
(3+1)*2^3-1
(4+1)*2^4-1
(5+1)*2^5-1
(9+1)*2^9-1
(14+1)*2^14-1
(15+1)*2^15-1
(16+1)*2^16-1
(27+1)*2^27-1
(45+1)*2^45-1
(122+1)*2^122-1
(125+1)*2^125-1
(213+1)*2^213-1
(242+1)*2^242-1
(256+1)*2^256-1
(263+1)*2^263-1
(290+1)*2^290-1
(855+1)*2^855-1
(1059+1)*2^1059-1
(2273+1)*2^2273-1
(3945+1)*2^3945-1
(3999+1)*2^3999-1
(9512+1)*2^9512-1
(14127+1)*2^14127-1
(16486+1)*2^16486-1
(20056+1)*2^20056-1
(28834+1)*2^28834-1 
(41493+1)*2^41493-1(Lifchitz)
(159147+1)*2^159147-1(Ballard) as 79574*4^79574-1
(227139+1)*2^227139-1(Ballard) as 113570*4^113570-1 = 56785*2^227141-1
(587823+1)*2^587823-1 (Harvey 9/9)
//[611000]

(2-1)*2^2-1
(4-1)*2^4-1
(5-1)*2^5-1
(11-1)*2^11-1
(28-1)*2^28-1
(35-1)*2^35-1
(235-1)*2^235-1
(325-1)*2^325-1
(551-1)*2^551-1
(688-1)*2^688-1
(7037-1)*2^7037-1
(8896-1)*2^8896-1 
(10020-1)*2^10020-1(Mike Oakes)
(13597-1)*2^13597-1(Mike Oakes)
(21347-1)*2^21347-1(Lifchitz)
(118020-1)*2^118020-1(Harvey)
(446694-1)*2^446694-1(Harvey 9/8)
//[611000]

(2+1)*2^2+1
(5+1)*2^5+1
(6+1)*2^6+1
(13+1)*2^13+1
(26+1)*2^26+1
(65+1)*2^65+1 divides GF(63,8)
(66+1)*2^66+1
(86+1)*2^86+1
(114+1)*2^114+1
(133+1)*2^133+1
(186+1)*2^186+1
(294+1)*2^294+1
(445+1)*2^445+1
(866+1)*2^866+1
(1325+1)*2^1325+1
(1478+1)*2^1478+1
(1823+1)*2^1823+1
(2765+1)*2^2765+1
(7553+1)*2^7553+1
(7943+1)*2^7943+1
(10178+1)*2^10178+1
(20960+1)*2^20960+1
(20964+1)*2^20964+1
(21337+1)*2^21337+1
(26562+1)*2^26562+1
(85374+1)*2^85374+1(Lifchitz)
(96749+1)*2^96749+1(Kazuyoshi)
(247038+1)*2^247038+1(Harvey 6/4)
 //[611000]

(2-1)*2^2+1
(3-1)*2^3+1
(7-1)*2^7+1
(27-1)*2^27+1
(51-1)*2^51+1 divides GF(48,10)
(55-1)*2^55+1
(81-1)*2^81+1
(1471-1)*2^1471+1
(1483-1)*2^1483+1 
(8668-1)*2^8668+1(MikeOakes)
(10885-1)*2^10885+1(Lifchitz)
(20803-1)*2^20803+1(MikeOakes)
(32605-1)*2^32605+1(MikeOakes)
(36391-1)*2^36391+1(MikeOakes)
(57004-1)*2^57004+1(Harvey)
(61627-1)*2^61627+1 ""
(88651-1)*2^88651+1(Jo Yeong Uk)
(89731-1)*2^89731+1 ""
(133928-1)*2^133928+1(Harvey)
(153428-1)*2^153428+1(Harvey)
(338485-1)*2^338485+1(Harvey 3/5)
(373347-1)*2^373347+1(Harvey 9/7)
(460575-1)*2^460575+1(Harvey 11/8)
(534507-1)*2^534507+1(Harvey 5/9)
//[611000]




12:05 PM 10/14/2009

    Source: geocities.com/harvey563