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 Showing results 1 to 25 of 1000 Search took 0.21 seconds. Search: Posts Made By: sweety439
 Forum: sweety439 2020-05-30, 15:32 Replies: 778 Views: 22,026 Posted By sweety439 Currently status for R36: k n 251 ... Currently status for R36: k n 251 1504 260 1315 924 2126 1148 1356 1230 1555
 Forum: sweety439 2020-05-30, 15:26 Replies: 778 Views: 22,026 Posted By sweety439 R36 searched to n=10K file attached. R36 searched to n=10K file attached.
 2020-05-30, 15:22 Replies: 249 Views: 21,000 Posted By sweety439 There are also smaller base without a Carol... There are also smaller base without a Carol prime: 640, 702, 738, 832, 866, 928, 938, 942, 950, 964, 992, 1032, 1068, 1108, 1132, 1152, 1188, ...
 2020-05-30, 14:02 Replies: 43 Views: 5,327 Posted By sweety439 Are there any factorization status for Phi(n,2)... Are there any factorization status for Phi(n,2) for n<=2^16 e.g. for n=3005, the factorization status for Phi(n,2) is 385549595471 (12 digits) * 13122095873179566186720736445243053751 (38...
 2020-05-30, 13:58 Replies: 43 Views: 5,327 Posted By sweety439 The thread seems to be "factorization of Phi(n,2)... The thread seems to be "factorization of Phi(n,2) for very large n", e.g. 2 ยท 10859^87905 + 1 is a factor of Phi(n,2) for n=10859^87905 Also, Phi(n,2) is completely factored for all n<=1206
 2020-05-30, 13:57 Replies: 43 Views: 5,327 Posted By sweety439 All odd prime p divides Phi(n,2) for an integer... All odd prime p divides Phi(n,2) for an integer n, in fact, n = ord_p(2) p, n 3, 2 5, 4 7, 3 11, 10 13, 12 17, 8
 Forum: sweety439 2020-05-29, 18:06 Replies: 355 Views: 9,104 Posted By sweety439 Fixed the program. Fixed the program.
 Forum: sweety439 2020-05-29, 18:03 Replies: 355 Views: 9,104 Posted By sweety439 Update my program of unique primes. Update my program of unique primes.
 Forum: Conjectures 'R Us 2020-05-28, 09:54 Replies: 40 Views: 2,479 Posted By sweety439 Found the CK for bases 2049-2200, 0 if the CK is... Found the CK for bases 2049-2200, 0 if the CK is > 5M, now I am finding them.
 Forum: sweety439 2020-05-27, 15:31 Replies: 778 Views: 22,026 Posted By sweety439 A large probable prime n can be proven to be... A large probable prime n can be proven to be prime if and only if at least one of n-1 and n+1 can be trivially written into a product. Thus, if n is large, a probable prime...
 Forum: sweety439 2020-05-27, 15:28 Replies: 778 Views: 22,026 Posted By sweety439 In this case, although (k*b^n+1)/gcd(k+1,b-1) has... In this case, although (k*b^n+1)/gcd(k+1,b-1) has neither covering set nor algebra factors, but this form still cannot have a prime, thus this case is also excluded in the conjectures. (this...
 Forum: sweety439 2020-05-27, 15:27 Replies: 778 Views: 22,026 Posted By sweety439 Conjecture 1 (the strong Sierpinski conjecture):... Conjecture 1 (the strong Sierpinski conjecture): For b>=2, k>=1, if there is an n such that: (1) k*b^n is neither a perfect odd power (i.e. k*b^n is not of the form m^r with odd r>1) nor of the...
 Forum: sweety439 2020-05-27, 15:26 Replies: 778 Views: 22,026 Posted By sweety439 If there is an r>1 such that both k and b are... If there is an r>1 such that both k and b are perfect r-th powers, then this k should be excluded from the Riesel base b problem. Besides, if there is an odd r>1 such that both k and b are perfect...
 Forum: sweety439 2020-05-27, 15:08 Replies: 778 Views: 22,026 Posted By sweety439 In Riesel conjectures, if k=m^2 and m and b... In Riesel conjectures, if k=m^2 and m and b satisfy at least one of these conditions, then this k should be excluded from the Riesel base b problem, since it has algebraic factors for even n and it...
 Forum: sweety439 2020-05-27, 15:06 Replies: 778 Views: 22,026 Posted By sweety439 These are the CK for Sierpinski/Riesel bases... These are the CK for Sierpinski/Riesel bases 2<=b<=2048 (searched up to 10^6)
 Forum: sweety439 2020-05-27, 15:03 Replies: 778 Views: 22,026 Posted By sweety439 Extended Sierpinski problem: Finding and... Extended Sierpinski problem: Finding and proving the smallest k such that (k*b^n+1)/gcd(k+1,b-1) is not prime for all integers n>=1. Extended Riesel problem: Finding and proving the smallest...
 Forum: sweety439 2020-05-27, 14:56 Replies: 778 Views: 22,026 Posted By sweety439 In Riesel conjectures, if k=m^2 and m and b... In Riesel conjectures, if k=m^2 and m and b satisfy at least one of these conditions, then this k should be excluded from the Riesel base b problem, since it has algebraic factors for even n and it...
 Forum: sweety439 2020-05-27, 14:47 Replies: 778 Views: 22,026 Posted By sweety439 In Riesel conjectures, if k=m^2 or k*b=m^2 and m... In Riesel conjectures, if k=m^2 or k*b=m^2 and m and b satisfy at least one of these conditions, then this k should be excluded from the Riesel base b problem, since it has algebraic factors for even...
 Forum: sweety439 2020-05-27, 13:52 Replies: 778 Views: 22,026 Posted By sweety439 Primality proof certifate: ... Primality proof certifate: (1*51^4229-1)/gcd(1-1,51-1): http://factordb.com/cert.php?id=1100000000467236538 (1*91^4421-1)/gcd(1-1,91-1): http://factordb.com/cert.php?id=1100000000651917018
 Forum: sweety439 2020-05-27, 13:49 Replies: 778 Views: 22,026 Posted By sweety439 R96 has 176 k's remain for k not in CRUS: ... R96 has 176 k's remain for k not in CRUS: {431, 591, 701, 831, 872, 956, 1006, 1126, 1648, 1681, 1810, 2036, 2386, 2424, 2878, 3001, 3431, 3461, 3671, 3856, 3881, 3956, 3996, 4261, 4351, 4366,...
 Forum: sweety439 2020-05-27, 13:48 Replies: 778 Views: 22,026 Posted By sweety439 R96 has 176 k's remain, I forgot to remove the... R96 has 176 k's remain, I forgot to remove the k's that are proven composite by partial algebraic factors, except 484 Also, (1*51^4229-1)/gcd(1-1,51-1) and (1*91^4421-1)/gcd(1-1,91-1) are now...
 Forum: sweety439 2020-05-27, 04:54 Replies: 778 Views: 22,026 Posted By sweety439 There are many k's that are prove composite by... There are many k's that are prove composite by partial algebra factors for Riesel bases: In addition to having full algebraic factors on k's and bases that are perfect squares, there are k's that...
 Forum: Conjectures 'R Us 2020-05-27, 04:26 Replies: 4 Views: 166 Posted By sweety439 This page is only for the twin case and the... This page is only for the twin case and the Riesel case, for the Sierpinski case, see http://harvey563.tripod.com/cunninghams.txt An interesting one is k=279, there is no known twin prime (k*2^n-1...
 Forum: Prime Wiki 2020-05-27, 04:19 Replies: 163 Sticky: Prime-Wiki Views: 11,207 Posted By sweety439 Williams prime PM table... Williams prime PM table (https://www.rieselprime.de/ziki/Williams_prime_PM_table) does not show the primes for bases 64, 128, 256, and 512 Done.
 Forum: sweety439 2020-05-26, 15:44 Replies: 778 Views: 22,026 Posted By sweety439 corrected the size of the exponent "n" ... corrected the size of the exponent "n" https://docs.google.com/document/d/e/2PACX-1vTo6WpQlMUirkqiTRqGa_XrCO1JpZHKk2gNR5cVp06vojJWzF9Z7KhF1oDb9bzK1_r_JmuSz1bAZiey/pub
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