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 Showing results 1 to 25 of 1000 Search took 0.24 seconds. Search: Posts Made By: sweety439
 Forum: sweety439 2020-10-20, 16:26 Replies: 41 Views: 4,058 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: 41 Views: 4,058 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: 214 Sticky: Prime-Wiki Views: 19,436 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: 41 Views: 4,058 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: 41 Views: 4,058 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: 41 Views: 4,058 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: 88 Views: 85,646 Posted By sweety439 For the dual Sierpinski problem for... For the dual Sierpinski problem for 78557
 Forum: sweety439 2020-10-19, 15:47 Replies: 1,067 Views: 35,242 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: 58 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: 41 Views: 4,058 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
 Forum: Lounge 2020-10-18, 10:25 Replies: 30 Views: 3,289 Posted By sweety439 There is a problem, the minimal set of the... There is a problem, the minimal set of the strings for primes with at least two digits in base b: https://primes.utm.edu/glossary/page.php?sort=MinimalPrime In 1996, Jeffrey Shallit [Shallit96]...
 2020-10-18, 09:25 Replies: 10 Views: 2,121 Posted By sweety439 https://oeis.org/A085398/b085398_2.txt https://oeis.org/A085398/b085398_2.txt
 Forum: Prime Wiki 2020-10-18, 09:00 Replies: 214 Sticky: Prime-Wiki Views: 19,436 Posted By sweety439 80*81^5394+1, the second Williams MP prime base... 80*81^5394+1, the second Williams MP prime base 81 (the first is 80*81^1+1) Done for 80*3^n+1 instead.
 Forum: sweety439 2020-10-18, 07:20 Replies: 1,067 Views: 35,242 Posted By sweety439 Also all k-values such that numerator(k*b^n+-1)... Also all k-values such that numerator(k*b^n+-1) (+ for Sierpinski, - for Riesel) divides (b-1)*b^r for some (positive or negative or 0) integer n and (positive or 0) integer r
 Forum: sweety439 2020-10-18, 07:17 Replies: 1,067 Views: 35,242 Posted By sweety439 This also including all k-values such that k+-1... This also including all k-values such that k+-1 (+ for Sierpinski, - for Riesel) divides (b-1)*b^r for some r
 Forum: sweety439 2020-10-18, 02:54 Replies: 1,067 Views: 35,242 Posted By sweety439 No other (probable) primes found for R70 k = 376,... No other (probable) primes found for R70 k = 376, 496, 811 up to n=22813
 Forum: sweety439 2020-10-17, 09:38 Replies: 1 Views: 50 Posted By sweety439 M5 = 31, M7 = 127, W5 = 11, W7 = 43 It is... M5 = 31, M7 = 127, W5 = 11, W7 = 43 It is known that MM5, MM7, WW5, WW7 are primes However, MMM5 and WWW5 are both known to be composite Two open problems: Is MMM7 prime? Is WWW7 prime? I...
 Forum: sweety439 2020-10-17, 06:55 Replies: 1 Views: 50 Posted By sweety439 Some notable smallest repunit/nexus prime Let a(b) = Smallest prime p such that the generalized repunit number (b^p-1)/(b-1) is prime b(p) = Smallest base b such that the generalized repunit number (b^p-1)/(b-1) is prime c(b) = Smallest...
 Forum: Factoring 2020-10-16, 10:33 Replies: 3 Views: 234 Posted By sweety439 A general form is R(R(p,a),b), where a>=2, b>=2... A general form is R(R(p,a),b), where a>=2, b>=2 are integers (define R(p,b) = (b^p-1)/(b-1) = generalized repunit base b with length p) These are the smallest prime R(p,b) with prime p>2 in all...
 Forum: sweety439 2020-10-16, 02:19 Replies: 1,067 Views: 35,242 Posted By sweety439 This is the sieve file for R70 This is the sieve file for R70
 Forum: Cunningham Tables 2020-10-15, 22:11 Replies: 0 Views: 119 Posted By sweety439 Some special factorization status of generalized repunits The generalized repunits (b^p-1)/(b-1) with a given factorization status A = Semiprime and divisible by 2*p+1 B = Semiprime and the two prime factors are both large ((number of digits of the...
 Forum: Prime Wiki 2020-10-15, 21:28 Replies: 214 Sticky: Prime-Wiki Views: 19,436 Posted By sweety439 Recent status updating: 4*155^n+1 at 1.265M... Recent status updating: 4*155^n+1 at 1.265M (https://mersenneforum.org/showpost.php?p=559194&postcount=843) 12*354^n+1 at 300K (https://mersenneforum.org/showpost.php?p=559825&postcount=2165) ...
 Forum: sweety439 2020-10-13, 07:24 Replies: 1,067 Views: 35,242 Posted By sweety439 See... See https://github.com/xayahrainie4793/Extended-Sierpinski-Riesel-conjectures/blob/master/Sierpinski%20CK%20for%20bases%20up%20to%202048.txt (Sierpinski) and...
 Forum: sweety439 2020-10-13, 07:19 Replies: 1,067 Views: 35,242 Posted By sweety439 Now, the CK for all Sierpinski/Riesel bases <=... Now, the CK for all Sierpinski/Riesel bases <= 1024 except SR156, SR280, SR876, SR910, R946, SR960, SR966 (which have too large upper bounds) are known!!!
 Forum: sweety439 2020-10-13, 07:16 Replies: 1,067 Views: 35,242 Posted By sweety439 I skipped bases 876 and 966 because the covering... I skipped bases 876 and 966 because the covering of the upper bound of these two bases (except the Riesel sides of 966) have a prime > 50000: S876 and R876 have 59029 S966 has 71707 Like the...
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