Talk:List of prime numbers

Requested move 31 January 2022

The following is a closed discussion of a requested move. Please do not modify it. Subsequent comments should be made in a new section on the talk page. Editors desiring to contest the closing decision should consider a move review after discussing it on the closer's talk page. No further edits should be made to this discussion.

The result of the move request was: Withdrawn. Dan Bloch (talk) 17:23, 2 February 2022 (UTC)

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List of prime numbers → Lists of prime numbers – Current title is incorrect. When this article was first created it was one list, but now it's a lot of lists. Dan Bloch (talk) 04:38, 31 January 2022 (UTC)

• Oppose. In Wikipedia names, "Lists of ..." nearly always means a page with links to other lists. See examples at Special:PrefixIndex/Lists of (skip italics which indicates a redirect). It's very common for a "List of ..." to have multiple lists in the same page, e.g List of numbers and thousands of others. PrimeHunter (talk) 05:16, 31 January 2022 (UTC)
  • It isn't true that "List of ..." articles commonly have multiple lists on the same page, or at least not in the sense you're implying. With a very few exceptions they contain one list broken into multiple categories, e.g., List of 18th-century encyclopedias has sections for encyclopedias in different languages. It's nice to know about List of numbers, but we can still aspire for better here. Dan Bloch (talk) 05:58, 31 January 2022 (UTC)

We have 114,000 mainspace pages starting with "List of".[1] Based on limited sampling and personal experience, I do think lots of them have multiple lists. PrimeHunter (talk) 08:22, 31 January 2022 (UTC)

• Oppose I understand the sentiment, but "Lists of..." is established usage for lists of lists:

"A list of lists of X could be at either Lists of X or at List of X: e.g., Lists of books, List of sovereign states; the plural form is more prevalent." (Wikipedia:Naming conventions (lists)#Basic Naming). Felix QW (talk) 09:03, 31 January 2022 (UTC)

• Oppose per above to be WP:CONSISTENT with similar article titles. Rreagan007 (talk) 17:48, 31 January 2022 (UTC)

The discussion above is closed. Please do not modify it. Subsequent comments should be made on the appropriate discussion page. No further edits should be made to this discussion.

Finiteness and infinitude of types of primes

I think it would be nice to note for some/all of the types of primes listed whether there are (proven) infinitely many such primes, (proven) finitely many, conjectured infinitely/finitely many, or unknown (no conjecture made, e.g. because there is no known heuristic suggesting finiteness or infinitude). Joel Brennan (talk) 14:10, 10 May 2022 (UTC)

What about 0?

What about 0? Like 1, 0 is neither prime or composite. Nate-Dawg921 (talk) 18:04, 23 November 2022 (UTC)

@Nate-Dawg921: Right. I don't think this list should mention that. Many sources discuss whether 1 is prime but not 0. PrimeHunter (talk) 20:22, 23 November 2022 (UTC)

And what about -17? Or the square root of 2? This article is only concerned with positive integers. JBL (talk) 21:07, 23 November 2022 (UTC)

Bi-Twin chains?

I think it would be nice to add bi-twin chains to the "List of primes by type" section, as they're notable enough to have their own separate Wiki page: https://en.wikipedia.org/wiki/Bi-twin_chain 63.192.65.2 (talk) 21:43, 20 December 2022 (UTC)

Sourced only to Weisstein and primenumbers.net, and a quick search doesn't suggest there's better sourcing out there waiting to be found. It seems super unlikely to me that it would survive an AfD. --JBL (talk) 21:53, 20 December 2022 (UTC)

I haven't really done an in-depth search, but I did find sourcing on Wolfram MathWorld (https://mathworld.wolfram.com/BitwinChain.html) and scientificlib (http://www.scientificlib.com/en/Mathematics/LX/BiTwinChain.html). I also found a cryptocurrency that searches for them (Primecoin, see: https://en.wikipedia.org/wiki/Primecoin). 63.192.65.2 (talk) 23:39, 20 December 2022 (UTC)

MathWorld is Weisstein. ScientificLib is a Wikipedia mirror. Surely nothing needs to be said about the cryptocurrency. That's exactly what I mean. --JBL (talk) 00:39, 21 December 2022 (UTC)

Bi-twin chain is linked in {{Prime number classes}} at the bottom but has the same problem as the more notable Cunningham chain: It's a pattern of primes with different variations (the length) and not associated with a specific prime sequence like the other entries. Even if you only consider one length at a time, the natural sequence would not be primes but the even composite between the first twin primes. Bi-twin chain shows no sequence but only records. PrimeHunter (talk) 00:15, 21 December 2022 (UTC)

Semi-protected edit request on 20 February 2023

In the Cluster primes section, the following:

3, 5, 7, 11, 13, 17, 19, 23, ...

should be changed to:

3, 5, 7, 11, 13, 17, 19, 23, ... (OEIS: A038134) Boblyonsnj (talk) 23:37, 20 February 2023 (UTC)

Done, thanks. --JBL (talk) 00:05, 21 February 2023 (UTC)

unbounded Wall–Sun–Sun sequence

comparison example: Fibonacci

Fibonacci primes: 2, 3, 5, 13, 89, 233, 1597, 28657, 514229, 433494437, 2971215073, 99194853094755497, 1066340417491710595814572169, 19134702400093278081449423917 (OEIS: A005478)

unbounded Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811 (OEIS: A000045)

What does the unbounded Wall–Sun–Sun sequence look like? 94.31.82.138 (talk) 19:17, 26 August 2023 (UTC)

There are only 9 two-sided primes.

There are only 9 two-sided primes.: 2, 3, 5, 7, 23, 37, 53, 73, 373

This is, because if you remove digits from both sides, 313, 317 and 3137 can be changed to 1, 797 and 3797 can be changed to 9 and 739397 can be changed to 3939, 939, 393, 93, 39 or 9. 2A00:6020:A123:8B00:E0DF:7AE2:ABD6:637 (talk) 19:23, 8 October 2023 (UTC)

List of prime numbers#Two-sided says "Primes that are both left-truncatable and right-truncatable". That includes 313, 317 and 3137. You don't have to be able to alternate between left and right. The listed source OEIS:A020994 agrees. Your sequence is OEIS:A085823 which is not called two-sided primes. PrimeHunter (talk) 01:39, 9 October 2023 (UTC)

new sequences

double Mersenne divisors

Primes p that divide 2^2n-1 - 1, for some prime number 2ⁿ - 1.

7, 127, 62914441, 231733529, 2147483647, 64296354767, 338193759479, 5746991873407, 295257526626031, 87054709261955177, 242557615644693265201, 178021379228511215367151, 2106734551102073202633922471, 824271579602877114508714150039, 65997004087015989956123720407169, 170141183460469231731687303715884105727, 210206826754181103207028761697008013415622289

double Mersenne prime exponents

3, 7, 31, 127 94.31.84.138 (talk) 17:13, 25 October 2023 (UTC)

article protection

The article should be protected again.

[Edit=Require administrator access] (indefinite) [Move=Require administrator access] (indefinite) 94.31.83.138 (talk) 17:28, 29 October 2023 (UTC)

why Semen2 (talk) 16:06, 21 March 2024 (UTC)

missing left-truncatable primes

Some left-truncatable primes are missing.: 103, 107, 307, 503, 607, 907, 1013, 1097, 1103, ...

Left-truncatable primes are primes, that remain prime, when the leading decimal digit is successively removed. So, it does not matter, if some of its digits are zeros, as long as the digits on the right are another prime. A right-truncatable prime on the other hand can not include a zero in its digits.

updated list of left-truncatable primes: 2, 3, 5, 7, 13, 17, 23, 37, 43, 47, 53, 67, 73, 83, 97, 103, 107, 113, 137, 167, 173, 197, 223, 283, 307, 313, 317, 337, 347, 353, 367, 373, 383, 397, 443, 467, 503, 523, 547, 607, 613, 617, ... 94.31.88.138 (talk) 19:52, 23 April 2024 (UTC)

If you were to follow the link either to the article Truncatable prime or to the referenced OEIS sequence, you would see that the definition explicitly forbids the digit 0. I would not be opposed to adding this to the article here. --JBL (talk) 21:46, 25 April 2024 (UTC)