mersenneforum.org Search Results
 User Name Remember Me? Password
 Register FAQ Search Today's Posts Mark Forums Read

 Showing results 1 to 25 of 1000 Search took 0.23 seconds. Search: Posts Made By: sweety439
 Forum: sweety439 2022-01-22, 18:56 Replies: 402 Views: 29,973 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: 996 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: 996 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: 996 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: 282 Views: 29,587 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: 282 Views: 29,587 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: 996 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: sweety439 2022-01-20, 10:26 Replies: 402 Views: 29,973 Posted By sweety439 https://sites.google.com/view/williams-primes ... https://sites.google.com/view/williams-primes https://sites.google.com/view/nexus-prime
 Forum: Prime Wiki 2022-01-20, 10:21 Replies: 195 Sticky: Prime-Wiki Views: 70,633 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: 88,028 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: 88,028 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: 124,855 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: 282 Views: 29,587 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: 18 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: 996 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: 996 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: 996 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: 282 Views: 29,587 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: 33 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: 33 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: 33 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: 18 Views: 996 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: 282 Views: 29,587 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: 10,661 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: 10,661 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,...
 Showing results 1 to 25 of 1000

All times are UTC. The time now is 09:01.

Sun Jan 23 09:01:29 UTC 2022 up 184 days, 3:30, 0 users, load averages: 0.87, 0.87, 0.95

Copyright ©2000 - 2022, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.

≠ ± ∓ ÷ × · − √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ ² ³ °
∠ ∟ ° ≅ ~ ‖ ⟂ ⫛
≡ ≜ ≈ ∝ ∞ ≪ ≫ ⌊⌋ ⌈⌉ ∘ ∏ ∐ ∑ ∧ ∨ ∩ ∪ ⨀ ⊕ ⊗ 𝖕 𝖖 𝖗 ⊲ ⊳
∅ ∖ ∁ ↦ ↣ ∩ ∪ ⊆ ⊂ ⊄ ⊊ ⊇ ⊃ ⊅ ⊋ ⊖ ∈ ∉ ∋ ∌ ℕ ℤ ℚ ℝ ℂ ℵ ℶ ℷ ℸ 𝓟
¬ ∨ ∧ ⊕ → ← ⇒ ⇐ ⇔ ∀ ∃ ∄ ∴ ∵ ⊤ ⊥ ⊢ ⊨ ⫤ ⊣ … ⋯ ⋮ ⋰ ⋱
∫ ∬ ∭ ∮ ∯ ∰ ∇ ∆ δ ∂ ℱ ℒ ℓ
𝛢𝛼 𝛣𝛽 𝛤𝛾 𝛥𝛿 𝛦𝜀𝜖 𝛧𝜁 𝛨𝜂 𝛩𝜃𝜗 𝛪𝜄 𝛫𝜅 𝛬𝜆 𝛭𝜇 𝛮𝜈 𝛯𝜉 𝛰𝜊 𝛱𝜋 𝛲𝜌 𝛴𝜎 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔