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 Showing results 1 to 25 of 1000 Search took 0.23 seconds. Search: Posts Made By: sweety439
 Forum: sweety439 2020-10-25, 19:43 Replies: 1,070 Views: 35,846 Posted By sweety439 R70 at n=37634, no new (probable) prime found R70 at n=37634, no new (probable) prime found
 Forum: sweety439 2020-10-25, 09:39 Replies: 2 Views: 83 Posted By sweety439 * If p is larger, then Rp(b) is harder to be... * If p is larger, then Rp(b) is harder to be prime, the smallest base b such that Rp(b) is prime is about gamma*p (gamma is the Euler constant 0.577215664901...) In general .... (let Rp(b) =...
 2020-10-24, 16:28 Replies: 3 Views: 119 Posted By sweety439 Cullen-Williams primes and Woodall-Williams primes The Cullen-Williams number base b is (b-1)*b^(b-1)+1, which is both Cullen number base b (n*b^n+1, some author requires n>=b-1, and for this number n is exactly b-1) and 2nd Williams number base b...
 Forum: sweety439 2020-10-24, 16:20 Replies: 0 Views: 20 Posted By sweety439 47 & 383 They are not only two primes of the form 3*2^n-1, but also .... * They are the first two non-Sophie-Germain primes (i.e. primes p such that 2*p+1 is not prime) of the form 3*2^n-1 * They are...
 2020-10-24, 14:27 Replies: 19 Views: 499 Posted By sweety439 If Schinzel's hypothesis H... If Schinzel's hypothesis H (https://en.wikipedia.org/wiki/Schinzel%27s_hypothesis_H) is true, then the second Hardy-Littlewood conjecture is false, since Schinzel's hypothesis H covers both...
 Forum: Prime Wiki 2020-10-24, 14:19 Replies: 216 Sticky: Prime-Wiki Views: 19,872 Posted By sweety439 9*830^n-1 at n=300K with no prime found... 9*830^n-1 at n=300K with no prime found (https://mersenneforum.org/showpost.php?p=560949&postcount=3743)
 Forum: Prime Wiki 2020-10-23, 19:43 Replies: 216 Sticky: Prime-Wiki Views: 19,872 Posted By sweety439 2*383^n+1 at n=1M with no prime found... 2*383^n+1 at n=1M with no prime found (https://mersenneforum.org/showpost.php?p=560850&postcount=2182)
 Forum: Lounge 2020-10-23, 19:38 Replies: 44 Views: 3,535 Posted By sweety439 Dozenal is the best base!!! See page... Dozenal is the best base!!! See page https://dozenal.fandom.com/wiki/10 and the links at the bottom of this page.
 Forum: sweety439 2020-10-22, 14:59 Replies: 1,070 Views: 35,846 Posted By sweety439 For the Riesel bases 2<=b<=128 and b = 256, 512,... For the Riesel bases 2<=b<=128 and b = 256, 512, 1024: proven: 4, 5, 7 (with PRP), 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 25, 26, 27, 29, 32, 34, 35, 37, 38, 39, 41, 44, 45, 47, 49,...
 Forum: sweety439 2020-10-22, 14:48 Replies: 1,070 Views: 35,846 Posted By sweety439 For the Sierpinski bases 2<=b<=128 and b = 256,... For the Sierpinski bases 2<=b<=128 and b = 256, 512, 1024: proven: 4, 5, 7, 8, 9, 11, 13, 14, 16, 17, 19, 20, 21, 23, 27, 29, 34, 35, 39, 41, 43, 44, 45, 47, 49, 51, 54, 56, 57, 59, 61, 64, 65,...
 Forum: Conjectures 'R Us 2020-10-22, 07:52 Replies: 17 Views: 1,723 Posted By sweety439 Is srsieve2 updated? If so, can you use it to... Is srsieve2 updated? If so, can you use it to reserve the S3 problem in Sierpinski conjectures and proofs...
 Forum: Cunningham Tables 2020-10-22, 06:36 Replies: 188 Views: 20,359 Posted By sweety439 Why 10^371+-1 are factored earlier than... Why 10^371+-1 are factored earlier than 10^365+-1? eulerphi(371) = 312 > 288 = eulerphi(365)
 Forum: sweety439 2020-10-21, 17:15 Replies: 43 Views: 4,218 Posted By sweety439 Although the test limit of all families in... Although the test limit of all families in https://github.com/RaymondDevillers/primes are all 10K, but some families are in fact already tested to much higher.... Base 25: EF{O}, 366*25^n-1:...
 Forum: sweety439 2020-10-21, 16:06 Replies: 43 Views: 4,218 Posted By sweety439 Some minimal (probable) primes with bases... Some minimal (probable) primes with bases 28<=b<=50 not shown in https://github.com/RaymondDevillers/primes: (and hence some unsolved families can be removed) Base 37: (families FY{a} and R8{a}...
 2020-10-21, 15:37 Replies: 90 Views: 86,012 Posted By sweety439 2^unknown+79309 2^9+79817 2^42210+91549 (PRP)... 2^unknown+79309 2^9+79817 2^42210+91549 (PRP) 2^394+131179 2^21+152267 2^1032+156511 2^57+163187 2^1038+200749 2^44+202705 2^16+209611
 Forum: sweety439 2020-10-20, 16:26 Replies: 43 Views: 4,218 Posted By sweety439 The "minimal prime problem" is solved only in... The "minimal prime problem" is solved only in bases 2~16, 18, 20, 22~24, 30, 42, and maybe 60 b, length of largest minimal prime base b, number of minimal primes base b 2, 2, 2 3, 3, 3 4, 2,...
 Forum: sweety439 2020-10-20, 15:49 Replies: 43 Views: 4,218 Posted By sweety439 Base 27: 8{0}9A: 5832*27^n+253 999{G}:... Base 27: 8{0}9A: 5832*27^n+253 999{G}: (88577*27^n-8)/13 C{L}E: (8991*27^n-203)/26 E{I}F8: (139239*27^n-1192)/13 {F}9FM: (295245*27^n-113557)/26 Base 48:
 Forum: Prime Wiki 2020-10-20, 14:11 Replies: 216 Sticky: Prime-Wiki Views: 19,872 Posted By sweety439 4*230^n+1 at n=1M with no prime found... 4*230^n+1 at n=1M with no prime found (https://mersenneforum.org/showpost.php?p=560395&postcount=852)
 Forum: sweety439 2020-10-20, 13:31 Replies: 43 Views: 4,218 Posted By sweety439 Base 25: F{O}KO: 9375*25^n+524 FO{K}O:... Base 25: F{O}KO: 9375*25^n+524 FO{K}O: (56375*25^n+19)/6 LO{L}8: (109975*25^n-111)/8 [need not to be searched if a smaller prime for the "O{L}8: (4975*25^n-111)/8" family were found] M{1}F1:...
 Forum: sweety439 2020-10-20, 12:48 Replies: 43 Views: 4,218 Posted By sweety439 Base 35: 6W{P}4: (288855*35^n-739)/34 [need... Base 35: 6W{P}4: (288855*35^n-739)/34 [need not to be searched if a smaller prime for the "W{P}4: (38955*35^n-739)/34" family were found] F8{0}F9: 652925*35^n+534 {Y}PO: 1225*35^n-326 FQ{F}I:...
 Forum: sweety439 2020-10-20, 12:35 Replies: 43 Views: 4,218 Posted By sweety439 Base 31: ILE{L}: (179637*31^n-7)/10 [need... Base 31: ILE{L}: (179637*31^n-7)/10 [need not to be searched if a smaller prime for the "IE{L}: (5727*31^n-7)/10" family were found] L{F}G: (1333*31^n+1)/2 [need not to be searched if a smaller...
 2020-10-20, 12:09 Replies: 90 Views: 86,012 Posted By sweety439 For the dual Sierpinski problem for... For the dual Sierpinski problem for 78557
 Forum: sweety439 2020-10-19, 15:47 Replies: 1,070 Views: 35,846 Posted By sweety439 At n=26544, found a new (probable) prime:... At n=26544, found a new (probable) prime: (376*70^24952-1)/3
 Forum: sweety439 2020-10-19, 15:45 Replies: 2 Views: 68 Posted By sweety439 757 757 is irregular prime 757 is de Polignac number (cannot be written as 2^n+p with prime p) 757 is the smallest prime p such that 1/p has period length 3^3 (in decimal) The smallest n such that...
 Forum: sweety439 2020-10-18, 13:39 Replies: 43 Views: 4,218 Posted By sweety439 Unsolved families: Base 17: F1{9}:... Unsolved families: Base 17: F1{9}: (4105*17^n-9)/16 Base 19: EE1{6}: (15964*19^n-1)/3
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