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 Showing results 1 to 25 of 1000 Search took 0.23 seconds. Search: Posts Made By: sweety439
 Forum: sweety439 2022-01-27, 15:31 Replies: 404 Views: 30,172 Posted By sweety439 upload data files and program files upload data files and program files
 Forum: sweety439 2022-01-26, 23:46 Replies: 1,257 Views: 88,394 Posted By sweety439 R243 k=81 remains, such prime must be generalized... R243 k=81 remains, such prime must be generalized repunit prime base 3, recently two generalized repunit primes base 3 are found: (3^2704981-1)/2 and (3^3598867-1)/2 (see A028491...
 Forum: sweety439 2022-01-26, 23:43 Replies: 15 Views: 6,796 Posted By sweety439 Some examples (a*b^n+c)/gcd(a+c,b-1) (a>=1, b>=2,... Some examples (a*b^n+c)/gcd(a+c,b-1) (a>=1, b>=2, c != 0, gcd(a,c) = 1, gcd(b,c) = 10 of dual families: b^n+1 (self dual) (b == 0 mod 2) (b^n-1)/(b-1) (self dual) (b^n+1)/2 (self dual) (b == 1...
 Forum: sweety439 2022-01-25, 00:24 Replies: 284 Views: 30,079 Posted By sweety439 A conjecture between this minimal prime problem... A conjecture between this minimal prime problem (i.e. start with b+1) and the original minimal prime problem (https://cs.uwaterloo.ca/~cbright/reports/mepn.pdf) (i.e. p > b is not required): In all...
 Forum: sweety439 2022-01-24, 13:06 Replies: 284 Views: 30,079 Posted By sweety439 Thus, the total proof of base 10 includes these... Thus, the total proof of base 10 includes these proofs: * Prove that all of 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 227, 251, 257, 277, 281, 349, 409,...
 Forum: sweety439 2022-01-22, 18:56 Replies: 404 Views: 30,172 Posted By sweety439 Numbers n such that Phi(n,a,b) =... Numbers n such that Phi(n,a,b) = b^eulerphi(n)*Phi(n,a/b) is prime, "*" for Phi(n,a,b)/gcd(Phi(n,a,b),n) is prime reference: https://oeis.org/A250201
 Forum: sweety439 2022-01-22, 10:47 Replies: 18 Views: 1,044 Posted By sweety439 Related conjectures: 11 is the only... Related conjectures: 11 is the only non-generalized pentagonal number which cannot be written as sum of a prime and a positive generalized pentagonal number. besides 1 and 3, 79 is the only odd...
 Forum: sweety439 2022-01-21, 21:51 Replies: 18 Views: 1,044 Posted By sweety439 The numbers in A347567: {1, 3, 4, 6, 10, 17,... The numbers in A347567: {1, 3, 4, 6, 10, 17, 20, 26, 62, 68, 74, 116, 122, 137, 170, 182, 227, 254, 260, 428, 452, 740, 758, 878, 977, 1052, 1142, 1187, 1412, 1460, 1493, 1542, 1658, 1982, 2510,...
 Forum: sweety439 2022-01-21, 21:32 Replies: 18 Views: 1,044 Posted By sweety439 For A347567, 2*square+p, where p is either odd... For A347567, 2*square+p, where p is either odd prime or twice an odd prime, the set is: {1, 3, 4, 6, 10, 17, 20, 26, 62, 68, 74, 116, 122, 137, 170, 182, 227, 254, 260, 428, 452, 740, 758, 878,...
 Forum: sweety439 2022-01-21, 15:52 Replies: 284 Views: 30,079 Posted By sweety439 the last (i.e. Proving that all primes > 10... the last (i.e. Proving that all primes > 10 contain at least one element in {11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 227, 251, 257, 277, 281, 349, 409,...
 Forum: sweety439 2022-01-21, 15:44 Replies: 284 Views: 30,079 Posted By sweety439 zipped file for the minimal primes (start with... zipped file for the minimal primes (start with b+1) in bases 17<=b<=36
 Forum: sweety439 2022-01-20, 22:18 Replies: 18 Views: 1,044 Posted By sweety439 The conjecture 2 in post #1... The conjecture 2 in post #1 (https://mersenneforum.org/showpost.php?p=592782&postcount=1) (i.e. A347568 (https://oeis.org/A347568) is full with 8 terms: {1, 3, 4, 10, 14, 122, 422, 432}): Zhi-Wei...
 Forum: Prime Wiki 2022-01-20, 10:21 Replies: 45 Views: 3,595 Posted By sweety439 Now I search the Williams primes... Now I search the Williams primes (https://www.rieselprime.de/ziki/Williams_prime) (of all 8 kinds) to n=5000 (now done to base 45) and create a website (https://sites.google.com/view/williams-primes)...
 Forum: sweety439 2022-01-18, 10:11 Replies: 1,257 Views: 88,394 Posted By sweety439 Sierpinski conjectures (k*b^n+1)/gcd(k-1,b+1):... Sierpinski conjectures (k*b^n+1)/gcd(k-1,b+1): [b,k] (GFN and half GFN not counted) [2,21181] b=2, k<=21180 [3,1187]
 Forum: sweety439 2022-01-18, 10:01 Replies: 1,257 Views: 88,394 Posted By sweety439 Riesel conjectures (k*b^n-1)/gcd(k-1,b-1): [b,k] ... Riesel conjectures (k*b^n-1)/gcd(k-1,b-1): [b,k] [2,23669] b=2, k<=23668 [3,1613] b<=4, k<=1612
 Forum: Aliquot Sequences 2022-01-18, 09:53 Replies: 1,029 Views: 125,208 Posted By sweety439 Is this a new record for the largest number in a... Is this a new record for the largest number in a terminate aliquot sequence? (the largest number in this sequence is index 2789 (http://factordb.com/index.php?id=1100000001517282545))
 Forum: sweety439 2022-01-17, 06:17 Replies: 284 Views: 30,079 Posted By sweety439 find the set of the minimal primes (start with... find the set of the minimal primes (start with b+1) base b for various bases b (2<=b<=36) is the target of the project in this thread. minimal prime (start with b+1) base b is always minimal prime...
 Forum: sweety439 2022-01-16, 17:13 Replies: 0 Views: 36 Posted By sweety439 Off-topic Like Cunningham table (https://homes.cerias.purdue.edu/~ssw/cun/index.html) to various bases, is there any interest to factor the numbers similar to Fibonacci numbers A000045...
 Forum: sweety439 2022-01-16, 17:05 Replies: 18 Views: 1,044 Posted By sweety439 There are complement of A065377... There are complement of A065377 (https://oeis.org/A065377) and A065397 (https://oeis.org/A065397) of the primes A000040 (https://oeis.org/A000040) in OEIS: A065376 (https://oeis.org/A065376) and...
 Forum: sweety439 2022-01-16, 16:55 Replies: 18 Views: 1,044 Posted By sweety439 Compare with the numbers with only one way to... Compare with the numbers with only one way to write as: "twice a positive square number" + "odd prime or twice an odd prime" or "twice a positive triangular number" + "odd prime or twice an...
 Forum: sweety439 2022-01-16, 11:48 Replies: 18 Views: 1,044 Posted By sweety439 Related research: perfect power... Related research: perfect power (https://oeis.org/A001597) (0 and 1 are not counted as perfect power) + prime (the even prime 2 is allowed) OEIS sequences for this: A119748...
 Forum: sweety439 2022-01-15, 07:11 Replies: 284 Views: 30,079 Posted By sweety439 Conjecture: There is no base b such that the... Conjecture: There is no base b such that the largest minimal prime (start with b+1) and the second-largest minimal prime (start with b+1) have the same number of digits in base b, note that in the...
 Forum: sweety439 2022-01-15, 06:55 Replies: 2 Views: 48 Posted By sweety439 b-file (or a-file): (rows m = 1 to m = 12 of... b-file (or a-file): (rows m = 1 to m = 12 of the triangle (indices i = 1 to i = 78), flattened, row m = 1 has index i = 1, row m = 2 has index i = {2,3}, row m = 3 has index i = {4,5,6}, row m = 4...
 Forum: sweety439 2022-01-15, 06:46 Replies: 2 Views: 48 Posted By sweety439 Problem: Prove or disprove such terms are 0: ... Problem: Prove or disprove such terms are 0: a(5,3): Are there any k such that sigma(k)/k = 5/3? a(5,4): Are there any k such that sigma(k)/k = 5/4? a(7,5): Are there any k such that sigma(k)/k...
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