.LOG
NearHyper-Woodall primes are of the form (n^2+/-1)*2^n-1

NearHyper-Cullen primes are of the form (n^2+/-1)*2^n+1

The following are prime & searched to [limit].

(2^2-1)*2^2-1
(4^2-1)*2^4-1
(6^2-1)*2^6-1
(7^2-1)*2^7-1
(8^2-1)*2^8-1
(11^2-1)*2^11-1
(12^2-1)*2^12-1
(14^2-1)*2^14-1
(19^2-1)*2^19-1
(22^2-1)*2^22-1
(26^2-1)*2^26-1
(29^2-1)*2^29-1
(43^2-1)*2^43-1
(67^2-1)*2^67-1
(82^2-1)*2^82-1
(89^2-1)*2^89-1
(91^2-1)*2^91-1
(92^2-1)*2^92-1
(100^2-1)*2^100-1
(104^2-1)*2^104-1
(167^2-1)*2^167-1
(264^2-1)*2^264-1
(289^2-1)*2^289-1
(300^2-1)*2^300-1
(302^2-1)*2^302-1
(336^2-1)*2^336-1
(901^2-1)*2^901-1
(996^2-1)*2^996-1
(1519^2-1)*2^1519-1
(1600^2-1)*2^1600-1
(1764^2-1)*2^1764-1
(2983^2-1)*2^2983-1
(3396^2-1)*2^3396-1
(4441^2-1)*2^4441-1
(4796^2-1)*2^4796-1
(4986^2-1)*2^4986-1
(5822^2-1)*2^5822-1
(9000^2-1)*2^9000-1
(17016^2-1)*2^17016-1 
(24226^2-1)*2^24226-1 
(29454^2-1)*2^29454-1 
(54767^2-1)*2^54767-1
(68376^2-1)*2^68376-1
(69328^2-1)*2^69328-1
(74887^2-1)*2^74887-1
(88274^2-1)*2^88274-1
(127016^2-1)*2^127016-1 Harvey 2/8
(176468^2-1)*2^176468-1 Harvey 3/8
(264367^2-1)*2^264367-1 Harvey 4/8
[296000]

(1^2+1)*2^1-1
(2^2+1)*2^2-1
(3^2+1)*2^3-1
(4^2+1)*2^4-1
(9^2+1)*2^9-1
(10^2+1)*2^10-1
(16^2+1)*2^16-1
(33^2+1)*2^33-1
(106^2+1)*2^106-1
(130^2+1)*2^130-1
(242^2+1)*2^242-1
(254^2+1)*2^254-1
(434^2+1)*2^434-1
(454^2+1)*2^454-1
(584^2+1)*2^584-1
(723^2+1)*2^723-1
(5595^2+1)*2^5595-1
(9016^2+1)*2^9016-1
(10738^2+1)*2^10738-1
(14486^2+1)*2^14486-1
(20338^2+1)*2^20338-1 
(60692^2+1)*2^60692-1
(68757^2+1)*2^68757-1 
(79606^2+1)*2^79606-1
(95572^2+1)*2^95572-1
[117000]

(2^2-1)*2^2+1
(4^2-1)*2^4+1
(5^2-1)*2^5+1
(9^2-1)*2^9+1
(10^2-1)*2^10+1
(13^2-1)*2^13+1
(14^2-1)*2^14+1
(15^2-1)*2^15+1
(22^2-1)*2^22+1
(26^2-1)*2^26+1
(31^2-1)*2^31+1
(32^2-1)*2^32+1
(44^2-1)*2^44+1
(45^2-1)*2^45+1
(69^2-1)*2^69+1
(81^2-1)*2^81+1
(86^2-1)*2^86+1
(177^2-1)*2^177+1
(248^2-1)*2^248+1
(346^2-1)*2^346+1
(490^2-1)*2^490+1
(789^2-1)*2^789+1
(1221^2-1)*2^1221+1
(2897^2-1)*2^2897+1
(3317^2-1)*2^3317+1
(5069^2-1)*2^5069+1
(6961^2-1)*2^6961+1
(7431^2-1)*2^7431+1
(8410^2-1)*2^8410+1 
(14222^2-1)*2^14222+1 
(15009^2-1)*2^15009+1 
(15656^2-1)*2^15656+1 
(16855^2-1)*2^16855+1 
(28798^2-1)*2^28798+1 
(33601^2-1)*2^33601+1
(55802^2-1)*2^55802+1
(68293^2-1)*2^68293+1 
(70876^2-1)*2^70876+1 
(78889^2-1)*2^78889+1
(105545^2-1)*2^105545+1 [7-5-2, p15]
(113699^2-1)*2^113699+1 [6-6-3, p15]
[134000]

(1^2+1)*2^1+1
(11^2+1)*2^11+1
(18^2+1)*2^18+1
(37^2+1)*2^37+1
(162^2+1)*2^162+1
(265^2+1)*2^265+1
(355^2+1)*2^355+1
(1728^2+1)*2^1728+1
(3605^2+1)*2^3605+1
(8645^2+1)*2^8645+1
(12319^2+1)*2^12319+1
(18397^2+1)*2^18397+1
(21413^2+1)*2^21413+1
(42222^2+1)*2^42222+1
(61537^2+1)*2^61537+1
(75235^2+1)*2^75235+1
(82488^2+1)*2^82488+1
(88464^2+1)*2^88464+1
(115015^2+1)*2^115015+1 [6-18-3,p15]
[117000]

comments, corrections, additions to harvey563@yahoo.com




8:57 AM 7/29/2010