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 Showing results 1 to 25 of 1000 Search took 0.18 seconds. Search: Posts Made By: sweety439
 Forum: sweety439 2021-01-14, 19:17 Replies: 136 Views: 6,315 Posted By sweety439 For more lengths for the smallest prime of the... For more lengths for the smallest prime of the form k*b^n+1 (form: k{0}1) or k*b^n-1 (form: x{y}, x = k-1, y = b-1) with k
 Forum: sweety439 2021-01-14, 04:55 Replies: 136 Views: 6,315 Posted By sweety439 Large minimal prime (start with b+1) for bases... Large minimal prime (start with b+1) for bases b>16 not in the list for bases 2 to 30 (https://github.com/curtisbright/mepn-data/tree/master/data) or list for bases 28 to 50...
 Forum: sweety439 2021-01-14, 04:50 Replies: 136 Views: 6,315 Posted By sweety439 Length of largest minimal prime (start with b+1)... Length of largest minimal prime (start with b+1) in base b for b = 2, 3, 4, ..., 40: 2, 3, 3, 96, 5, >=17, 221, >=1161, 31, >=45, 42, >=32021, >=19699, >=107, >=32235, >=111334, >=300, >=110986,...
 Forum: sweety439 2021-01-14, 03:53 Replies: 136 Views: 6,315 Posted By sweety439 Found another minimal prime (start with b+1) in... Found another minimal prime (start with b+1) in base b=14: 1879B Found three other minimal primes (start with b+1) in base b=15: 33301431 6330261 605331
 Forum: sweety439 2021-01-14, 01:21 Replies: 136 Views: 6,315 Posted By sweety439 Update newest data file. Update newest data file.
 Forum: sweety439 2021-01-13, 16:48 Replies: 136 Views: 6,315 Posted By sweety439 Update newest pdf file. Minimal elements for... Update newest pdf file. Minimal elements for the base b representations of the primes which are > b...
 Forum: sweety439 2021-01-13, 15:57 Replies: 136 Views: 6,315 Posted By sweety439 DB32234 (base 16) is probable prime!!! This... DB32234 (base 16) is probable prime!!! This number is like the largest minimal prime (start with 2 digits) in base 16 The families 5{7} (base 11) and 9{5} (base 13) still no (probable) prime...
 Forum: sweety439 2021-01-12, 19:09 Replies: 136 Views: 6,315 Posted By sweety439 The b^n-2 case should require n>1, since... The b^n-2 case should require n>1, since single-digit primes are not acceptable in this puzzle, thus the smallest primes should be: 7, 23, 47, 79, 14639, 167, 223, 24137567, 359, 439,...
 Forum: sweety439 2021-01-12, 19:03 Replies: 136 Views: 6,315 Posted By sweety439 This puzzle is an extension of the original... This puzzle is an extension of the original minimal prime base b puzzle (https://www.primepuzzles.net/puzzles/puzz_178.htm), to include CRUS Sierpinski...
 Forum: sweety439 2021-01-12, 18:59 Replies: 136 Views: 6,315 Posted By sweety439 The corresponding families: * repunit prime... The corresponding families: * repunit prime base b: {1} * generalized Fermat prime base b for even b: 1{0}1 * generalized half Fermat prime (> (b+1)/2) base b for odd b: {x}y, x = (b-1)/2, y =...
 Forum: sweety439 2021-01-12, 18:50 Replies: 136 Views: 6,315 Posted By sweety439 * The smallest prime of the form 2*b^n+1 (for b... * The smallest prime of the form 2*b^n+1 (for b != 1 mod 3): [not minimal prime (start with 2 digits) if b<=2] 5, 7, 11, 13, 17, 19, 23, 3457, 29, 31,...
 Forum: sweety439 2021-01-10, 22:21 Replies: 136 Views: 6,315 Posted By sweety439 fixed typo in the file: 3*16^n+1 should be... fixed typo in the file: 3*16^n+1 should be 3*4^n+1, 12^((n+1)/2) +/- 5 should be 12^((n+2)/2) +/- 5
 Forum: sweety439 2021-01-10, 20:09 Replies: 136 Views: 6,315 Posted By sweety439 All known minimal primes (start with b+1) in... All known minimal primes (start with b+1) in bases 2<=b<=16: (data for bases 2, 3, 4, 5, 6, 8, 10, 12 are known to be complete) Also three unsolved families are known: Base 11: 5777...777 Base...
 Forum: sweety439 2021-01-10, 19:28 Replies: 136 Views: 6,315 Posted By sweety439 There are totally 106 minimal primes (start with... There are totally 106 minimal primes (start with 2 digits) in base 12, there are 77 such primes in base 10
 Forum: sweety439 2021-01-10, 19:27 Replies: 136 Views: 6,315 Posted By sweety439 Now, we proved the set of minimal primes (start... Now, we proved the set of minimal primes (start with b+1, which is equivalent to start with b, if b is composite) of base b=12: 11 15 17 1B 25 27 31
 Forum: sweety439 2021-01-10, 12:09 Replies: 136 Views: 6,315 Posted By sweety439 I have made a pdf file about this project, see... I have made a pdf file about this project, see the attached file in post #114 (https://mersenneforum.org/showpost.php?p=568813&postcount=114) Well, the proofs for base 2, 3, 4 are really trivial,...
 Forum: sweety439 2021-01-09, 21:18 Replies: 136 Views: 6,315 Posted By sweety439 Now I am reserving these families, currently at... Now I am reserving these families, currently at about length 15000, still no (probable) primes found Base 11: 5{7} Base 13: 9{5} Base 16: D{B}
 Forum: sweety439 2021-01-09, 19:11 Replies: 34 Views: 1,543 Posted By sweety439 https://members.loria.fr/PZimmermann/records/ ... https://members.loria.fr/PZimmermann/records/ https://members.loria.fr/PZimmermann/records/Wieferich.status
 Forum: sweety439 2021-01-09, 19:11 Replies: 34 Views: 1,543 Posted By sweety439 I create this thread, the target is collect links... I create this thread, the target is collect links of primes to offer people to click, some of the links are difficult to find
 Forum: sweety439 2021-01-09, 17:08 Replies: 115 Views: 9,461 Posted By sweety439 Update status files in base 36 Update status files in base 36
 Forum: sweety439 2021-01-09, 13:31 Replies: 34 Views: 1,543 Posted By sweety439 https://primes.utm.edu/ ... https://primes.utm.edu/ https://primes.utm.edu/primes/ https://primes.utm.edu/notes/faq/ https://primes.utm.edu/top20/home.php https://primes.utm.edu/prove/index.html...
 Forum: sweety439 2021-01-09, 10:53 Replies: 136 Views: 6,315 Posted By sweety439 Found a large minimal prime (start with 2 digits)... Found a large minimal prime (start with 2 digits) in base 9: 30115811, which equals 3*9^1160+10
 Forum: sweety439 2021-01-09, 10:38 Replies: 136 Views: 6,315 Posted By sweety439 No, I was proving the set of the minimal elements... No, I was proving the set of the minimal elements of the prime strings with length >=2 in bases 8, 10, 12, with step-by-step instructions, e.g. for base 8, I was proving the case that (first...
 Forum: sweety439 2021-01-09, 10:34 Replies: 136 Views: 6,315 Posted By sweety439 I have a pdf file for the proof (not complete,... I have a pdf file for the proof (not complete, continue updating), I will complete the proof for bases 7, 9, 12
 Forum: sweety439 2021-01-09, 10:23 Replies: 34 Views: 1,543 Posted By sweety439 primes of the form k*2^n+1:... primes of the form k*2^n+1: http://www.prothsearch.com/ primes of the form k*2^n-1: http://www.15k.org/
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