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 Showing results 1 to 25 of 1000 Search took 0.20 seconds. Search: Posts Made By: sweety439
 Forum: Conjectures 'R Us 2020-03-27, 15:51 Replies: 32 Views: 1,283 Posted By sweety439 Well... since all prime factors of k*2^n+-1 are... Well... since all prime factors of k*2^n+-1 are odd, thus if there exist an n such that k*2^n+-1 or its dual (|2^n+-k|) is power of 2 (including 1), then k*2^n+-1 cannot have a covering set. Thus...
 Forum: Conjectures 'R Us 2020-03-27, 15:45 Replies: 32 Views: 1,283 Posted By sweety439 9*1024^n-1 is unlikely to have a covering set,... 9*1024^n-1 is unlikely to have a covering set, like the simple cases: 3*2^n+-1, 5*2^n+-1, 7*2^n+-1, 9*2^n+-1, 11*2^n+-1, etc. they are unlikely to have a covering set, but also no proof.
 Forum: Conjectures 'R Us 2020-03-27, 15:43 Replies: 32 Views: 1,283 Posted By sweety439 This is like the base 125 case, the CK for both... This is like the base 125 case, the CK for both sides of base 125 are 8, and both 125 and 8 are cubes, thus 8*125^n+-1 both have algebra factors.
 Forum: Conjectures 'R Us 2020-03-27, 14:48 Replies: 32 Views: 1,283 Posted By sweety439 An example is Sierp base 311, all k's that... An example is Sierp base 311, all k's that between a multiple of 3 and a multiple of 13 have the covering set {3,13}, the first such k's are 14, 25, 53, 64, 92, 103, 131, 142, ..., however all such...
 Forum: Conjectures 'R Us 2020-03-10, 21:45 Replies: 832 Sticky: Report top-5000 primes here Views: 55,806 Posted By sweety439 A nice prime for k=7!!! A nice prime for k=7!!!
 Forum: Conjectures 'R Us 2020-03-10, 21:44 Replies: 2,070 Views: 128,750 Posted By sweety439 8*283^164768-1 is prime, see post... 8*283^164768-1 is prime, see post https://mersenneforum.org/showpost.php?p=537817&postcount=105
 Forum: sweety439 2020-03-06, 18:13 Replies: 693 Views: 18,978 Posted By sweety439 Pairs of S/R bases: 33 through 64: SR40... Pairs of S/R bases: 33 through 64: SR40 vs SR52 SR42 vs SR60 (not SR48, because 48+-1 are not both primes) SR46 vs SR58
 Forum: enzocreti 2020-02-17, 16:13 Replies: 5 Views: 294 Posted By sweety439 Well, since the Nash weight of (k,b,c) = (1,56,1)... Well, since the Nash weight of (k,b,c) = (1,56,1) is low (if a triple (k,b,c) does not satisfy all four conditions, then the Nash weight of this (k,b,c) triple is 0).
 2020-02-17, 16:10 Replies: 4 Views: 1,214 Posted By sweety439 Can someone reserve (51^4229-1)/50,... Can someone reserve (51^4229-1)/50, (91^4421-1)/90 and 60^4663-59^4663?
 Forum: enzocreti 2020-02-17, 15:58 Replies: 5 Views: 294 Posted By sweety439 In your case is (k,b,c) = (1,56,1), satisfying... In your case is (k,b,c) = (1,56,1), satisfying all four conditions, thus I conjectured that there are infinitely many primes of this form, additionally, I conjectured that there are infinitely many...
 Forum: enzocreti 2020-02-17, 15:56 Replies: 5 Views: 294 Posted By sweety439 See post... See post https://mersenneforum.org/showpost.php?p=529838&postcount=675, I conjectured that there are infinitely many integers n>=1 such that (k*b^n+c)/gcd(k+c, b-1) is prime for all integer triples...
 Forum: sweety439 2020-02-14, 13:06 Replies: 4 Views: 345 Posted By sweety439 Always composite numbers? Can a dozenal (duodecimal, base 12) number {111...111}21{111...111} (with the same number of 1s in the two brackets) (start with 21, 1211, 112111, 11121111, ...) be prime? I cannot find such prime...
 Forum: Riesel Prime Search 2020-02-14, 12:30 Replies: 0 Views: 168 Posted By sweety439 How do we calculate the weight? How do we calculate the weight for a form (k*b^n+c)/gcd(k+c,b-1) for fixed integers k >= 1, b >= 2, c != 0, gcd(k,c) = 1, gcd(b,c) = 1. I have a research...
 Forum: enzocreti 2020-02-14, 12:23 Replies: 2 Views: 148 Posted By sweety439 Yes!!! 43^3*127^3+1 is. Yes!!! 43^3*127^3+1 is.
 Forum: enzocreti 2020-02-14, 12:21 Replies: 3 Views: 200 Posted By sweety439 Wait!!! 47%41 = 6, and 6 is not perfect... Wait!!! 47%41 = 6, and 6 is not perfect power....:poop::poop:
 Forum: enzocreti 2020-02-14, 12:20 Replies: 3 Views: 200 Posted By sweety439 Of course!!! By Dirichlet's theorem on arithmetic... Of course!!! By Dirichlet's theorem on arithmetic progressions, there are infinitely many primes = 4 mod 41, thus there are infinitely many such primes.
 Forum: enzocreti 2020-02-14, 12:18 Replies: 3 Views: 222 Posted By sweety439 There is a formula of repunits mod p for prime p,... There is a formula of repunits mod p for prime p, the period must be a factor of p-1, thus, you can only calculate R1%p, R2%p, R3%p, ..., R(p-1)%p
 Forum: enzocreti 2020-02-14, 12:15 Replies: 10 Views: 429 Posted By sweety439 powerpi(x)=floor(x^(1/2))+floor(x^(1/3))+floor(x^(... powerpi(x)=floor(x^(1/2))+floor(x^(1/3))+floor(x^(1/5))+floor(x^(1/7))+floor(x^(1/11))+... e.g. powerpi(9453)=97+21+6+3+2+2=131
 Forum: sweety439 2020-02-11, 11:08 Replies: 7 Views: 404 Posted By sweety439 This test always uses base 2 for the Fermat test... This test always uses base 2 for the Fermat test part, but I use the base which is the smallest integer b>=2 such that JacobiSymbol(b,n) = -1 Thus, this test not the same as my test. Edit: n...
 Forum: sweety439 2020-02-11, 11:05 Replies: 159 Views: 7,909 Posted By sweety439 You are really searching the generalized repunit... You are really searching the generalized repunit (probable) primes, see https://oeis.org/history?user=Paul%20Bourdelais, you found the PRPs (3^1896463+1)/4, (6^1365019-1)/5, and (37^168527-1)/36...
 Forum: Lounge 2020-02-11, 11:00 Replies: 116 Sticky: Predict M52 Views: 7,581 Posted By sweety439 Well, can you add it to the list in post #87... Well, can you add it to the list in post #87 (https://mersenneforum.org/showpost.php?p=533234&postcount=87)?
 Forum: Lounge 2020-02-11, 04:15 Replies: 116 Sticky: Predict M52 Views: 7,581 Posted By sweety439 What are its prime factors? What are its prime factors?
 Forum: FactorDB 2020-02-11, 04:10 Replies: 440 Views: 30,380 Posted By sweety439 See... See https://mersenneforum.org/showthread.php?t=10761, 2^16389+67607 have been certified as definitely prime, but see http://factordb.com/index.php?id=1100000000537223829, it is still "PRP" in...
 Forum: sweety439 2020-02-11, 03:58 Replies: 159 Views: 7,909 Posted By sweety439 Well, can you give all data for (b-1)*b^n-1,... Well, can you give all data for (b-1)*b^n-1, (b-1)*b^n+1, (b+1)*b^n-1, and (b+1)*b^n+1 for the b that you have searched? Besides, you seems have also searched the generalized repunit numbers...
 Forum: Conjectures 'R Us 2020-02-11, 03:51 Replies: 32 Views: 1,283 Posted By sweety439 Can this problem be used for finding the smallest... Can this problem be used for finding the smallest k (coprime to c) with covering set for the general case (k*b^n+c)/gcd(k+c,b-1)? For b>=2, c !=0, gcd(b,c)=1 Like this problem...
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