.LOG Near-Cullen & Near-Woodall primes news: 11/12/14 Checked through 2000000. 10/27/14 Checked through 1896000. 10/10/14 Checked through 1866000. 8/15/14 Checked through 1747000. 7/29/14 Harvey finds 1817932*2^1817933-1, checked through 1720000. 7/10/14 Checked through 1678000, no new primes, continuing - Harvey 6/3/14 Checked through 1630000, no new primes, continuing - Harvey 11/14/12 Harvey finds 1165666*2^1165667-1 10/3/12 Harvey finds (11712171-1)*2^1172171-1. 6/1/12 Checked through n=1100000, no new primes, continuing - Harvey 2/10/11 Harvey finds (790693-1)*2^790693-1 6/10/10 Harvey finds (709946+1)*2^709946+1 2/9/10 Harvey finds (665128-1)*2^665128-1 2/1/10 Harvey finds (659153-1)*2^659153-1 and (660988-1)*2^660988+1 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) [2000000] (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) (659153-1)*2^659153-1 (Harvey 2/10) (665128-1)*2^665128-1 (Harvey 2/10) (790693-1)*2^790693-1 (Harvey 2/11) (1165667-1)*2^1165667-1 (Harvey11/12) (1172171-1)*2^1172171-1 (Harvey 10/12) (1817933-1)*2^1817933-1 (Harvey 7/2014) [2000000] (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) (709946+1)*2^709946+1(Harvey 6/10) [2000000] (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) (660988-1)*2^660988+1(Harvey 2/10) [2000000] 10:23 AM 4/28/2015