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 Showing results 1 to 25 of 1000 Search took 0.23 seconds. Search: Posts Made By: sweety439
 Forum: Prime Wiki 2022-01-20, 10:21 Replies: 195 Sticky: Prime-Wiki Views: 70,500 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: 1,256 Views: 87,847 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: 1,256 Views: 87,847 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: 1,027 Views: 124,666 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: 280 Views: 29,328 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: 15 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: 14 Views: 851 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: 14 Views: 851 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: 14 Views: 851 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: 280 Views: 29,328 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: 30 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: 30 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...
 Forum: sweety439 2022-01-15, 06:44 Replies: 2 Views: 30 Posted By sweety439 A new idea for OEIS "triangle read by rows" sequence Triangle read by rows: a(m,n) = the gcd(m,n)-th number k such that sigma (https://oeis.org/A000203)(k)/k = m/n (i.e. the abundancy (https://mathworld.wolfram.com/Abundancy.html) of k is m/n, note...
 Forum: sweety439 2022-01-14, 02:44 Replies: 14 Views: 851 Posted By sweety439 Now OEIS has sequences about these two... Now OEIS has sequences about these two conjectures!!! A347567 (https://oeis.org/A347567) A347568 (https://oeis.org/A347568)
 Forum: sweety439 2022-01-13, 11:42 Replies: 280 Views: 29,328 Posted By sweety439 all bases b<=36 are done. the original text... all bases b<=36 are done. the original text file for base 35 is too large (1743 KB) to upload, thus zipped it
 Forum: Aliquot Sequences 2022-01-13, 08:04 Replies: 13 Views: 10,646 Posted By sweety439 No, see the graph in page 8 of... No, see the graph in page 8 of https://arxiv.org/pdf/1610.07471.pdf, 137438691328 is also such number (untouchable perfect number, hermit number) like 28
 Forum: Aliquot Sequences 2022-01-13, 08:01 Replies: 13 Views: 10,646 Posted By sweety439 I found that there are sequences about this in... I found that there are sequences about this in OEIS: A283152 (https://oeis.org/A283152) 2-untouchable numbers: {208, 250, 362, 396, 412, 428, 438, 452, 478, 486, 494, 508, 672, 712, 716, 772, 844,...
 Forum: sweety439 2022-01-13, 06:36 Replies: 280 Views: 29,328 Posted By sweety439 but it is my newer researching result, and I... but it is my newer researching result, and I think that it is important, sometimes I update my old posts, such as #208 (https://mersenneforum.org/showpost.php?p=593116&postcount=208) and #215...
 Forum: sweety439 2022-01-13, 06:31 Replies: 280 Views: 29,328 Posted By sweety439 This is the smallest GFN primes and the smallest... This is the smallest GFN primes and the smallest GRU primes in bases b<=64 Note 1: we do not include the case where the base of the GFNs is perfect odd power and the case where the base of the...
 Forum: sweety439 2022-01-12, 13:28 Replies: 280 Views: 29,328 Posted By sweety439 When I have a new researching result about my... When I have a new researching result about my project (i.e. finding and proving the set of minimal primes (start with b+1) in bases 2<=b<=36), I either post on this thread or update my article...
 Forum: sweety439 2022-01-12, 04:57 Replies: 280 Views: 29,328 Posted By sweety439 look the size for the data files, my heuristic... look the size for the data files, my heuristic argument (https://primes.utm.edu/glossary/xpage/Heuristic.html) is really true, i.e. the number of minimal primes (start with b+1) <= fixed limit (2^32...
 Forum: sweety439 2022-01-12, 04:49 Replies: 280 Views: 29,328 Posted By sweety439 done to base b=31 the original text file for... done to base b=31 the original text file for base 31 is too large (1546 KB) to upload, thus zipped it
 Forum: sweety439 2022-01-12, 04:46 Replies: 280 Views: 29,328 Posted By sweety439 These are the data for "minimal primes (start... These are the data for "minimal primes (start with b+1)" <= 2^32 in bases b=22 to b=26, they are in my project, see my article...
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