Talk:Sexy prime

message: I changed "such that p + 18 is composite " to "prime" .  Please someone change back if it is wrong, but the examples are prime and it makes more sense as prime.
Walt 20:37, 4 April 2006 (UTC)
thread_title: Untitled

message: Is there a name for sexy pairs of twin primes, i.e. sets of four primes of the form (x, x+2, x+6, x+8)?  The first four such sets are (5, 7, 11, 13), (11, 13, 17, 19), (101, 103, 107, 109), (191, 193, 197, 199).  It is easily proven that for all "sexy twin primes" except (5, 7, 11, 13), x mod 210 must be 11, 101, or 191. --12.34.246.38 21:18, 4 August 2006 (UTC)
replies: text: Ah!  Okay, thanks! --12.34.246.38 18:14, 8 August 2006 (UTC)

text: Did you look at the Prime quadruplet article?  It is easily proven that there are no sets of primes of the form {x, x+2, x+4, x+6} (with the dubious exception of {1, 3, 5, 7} if you consider 1 a prime, which most mathemeticians do not).  In fact, in any group of three numbers of the form {x, x+2, x+4}, one will always be a multiple of 3, so the only way they could all be prime is if 3 itself is one of them, as is the case for {3, 5, 7}. --Mwalimu59 16:27, 13 September 2006 (UTC)
thread_title:  Sexy twin primes? 

message: I am studing the sucession 3-2,5-3,7-5,11-7 and so on and  I have found that 6 is the predominant number and my question is, why??? from España/Manuel l. — Preceding unsigned comment added by 217.125.114.57 (talk) 
:I am not sure what you mean by predominant number. All primes above 3 are of form 6n-1 or 6n+1 (otherwise they would be divisible by 2 or 3). And 6 is the "jumping champion" (most common prime gap ) for some small numbers and from 947 to perhaps around 1035. PrimeHunter 00:35, 23 March 2007 (UTC)
thread_title: Consecutive primes

message: p = (48011837012 · ((53238 · 7879#)2 - 1) + 2310) · 53238 · 7879#/385 + 1
What is the "#"??
:The end of the following line said "7879# is a primorial". I have moved it to the start of the line. PrimeHunter 11:29, 2 January 2007 (UTC)
thread_title: What is # ?

message: The list of sexy prime triplets misses loads of triplets out e.g. (5,11,17) (11,17,23) (41,47,53) someone change it!!! --Steph and Jacob
86.128.7.144 (talk) 22:23, 12 June 2008 (UTC)
replies: text: The definition says p + 18 must be composite. This is in agreement with the MathWorld and OEIS sources. The list is correct for that definition. I personally don't like that definition but Wikipedia articles should be based on reliable sources. Do you know a reliable source which allows prime p + 18 in a sexy prime triplet? PrimeHunter (talk) 00:56, 13 June 2008 (UTC)
replies: text: I agree that the "p + 18 must be composite" provision doesn't make much sense.  It would make more sense if there was a similar provision that "p - 6 must be composite", which would disqualify any triplets that were part of a quadruplet; as it stands now it disqualifies the first three of a quadruplet but still allows the second through fourth of a quadruplet.  Having neither provision (as the original comment implies) would work too, but having one and not the other doesn't make much sense to me.  Furthermore I would note that there is no similar restriction on sexy prime pairs, so why should there be on triplets?  --Mwalimu59 (talk) 17:54, 13 June 2008 (UTC)
thread_title:  Missing prime triplets 

message: I'd like to see some evidence that this term is actually used in the literature, and isn't just another of Eric Weisstein's annoying neologisms.
Google Scholar finds very few hits, and most of them appear unrelated (things like "sexy prime-time hostess").  There are two sort-of-legitimate hits, but they're kind of borderline:  One quotes Weisstein for the name and is largely about teaching.  The other is an undergrad honors thesis. --Trovatore (talk) 23:24, 3 May 2009 (UTC)
replies: text: I am quite sure that it is. I remember reading this term quite often in textbooks. However, it is best to wait for other opinions. --PST 03:30, 4 May 2009 (UTC)

text: Search on "sexy primes"  instead of "sexy prime". PrimeHunter (talk) 08:55, 4 May 2009 (UTC)
replies: text: Ah, OK, that seems to be a reasonable amount of attestation.  However it does raise the question whether the article ought to be at sexy primes, as an exception to the usual convention, given that there doesn't seem to be much guidance in the literature as to what a single sexy prime is, if anything.  (That was the question that actually drew my attention here — reading the current lede literally, it appears that a sexy prime is not a prime number at all, but rather a pair of prime numbers.) --Trovatore (talk) 09:30, 4 May 2009 (UTC)

text: The article says it's just a play on the Latin word for 'six'. There's nothing more to explain in an etymology. Mal7798 (talk) 01:47, 24 September 2013 (UTC)
thread_title:  neologism? 

message: Why is this a thing?  Is it a useful concept?  Does it take one farther into understanding numbers?  --Richardson mcphillips (talk) 01:44, 20 April 2015 (UTC)
replies: text: In Wikipedia, "notable" means satisfying Wikipedia:Notability or one of the subject-specific guidelines like Wikipedia:Notability (numbers). That appears to be the case for sexy primes. In an earlier section I posted the Google Scholar search . If they had not been named but were just described in sources with something like "primes separated by six" then we probably wouldn't have an article. Sexy primes are mathematically similar to twin primes but there is far more interest in the latter. Sexy primes do not appear useful but the same can be said about a large part of mathematics. PrimeHunter (talk) 02:54, 20 April 2015 (UTC)

text: For Wikipedia it's a thing if published reliable sources talk about it. A Google search finds results on "sexy primes" but not "quinty primes" so the latter doesn't appear to be a thing. I'm not sure what you imagine quinty primes would be. "quint" is usually something with 5 but all primes above 2 are odd so the only primes which differ by 5 are 2 and 7. That would be strange to name. The only named differences I know are twin primes (2), cousin primes (4), and sexy primes (6). I'm a prime geek and have found probable primes (prp's) above 10000 digits with all even differences from 8 to 100: http://www.mersenneforum.org/showthread.php?t=11381#10. Somebody actually mentioned my cousin prp record from that post in Cousin prime#Properties but only credited the discoverers of the prime p = 474435381 · 298394 − 1. They may not know I seven years later found that p − 4 is prp. PrimeHunter (talk) 15:54, 28 February 2017 (UTC)
thread_title:  is this notable? 

message: Could you find an article half as funny as this one. MightyArms (talk) 03:35, 5 February 2022 (UTC)
replies: text: what about Wikipedia:List_of_really,_really,_really_stupid_article_ideas_that_you_really,_really,_really_should_not_create Awesomecat713 (talk) 00:50, 19 May 2022 (UTC)
thread_title:  Only on Wikipedia 

message: I see the notation n# used on this page a lot—for example, 2521#. What does this mean? DaBOXEN (talk) 23:22, 13 November 2023 (UTC)
replies: text: See the first section: Sexy prime#Primorial n# notation. PrimeHunter (talk) 00:03, 14 November 2023 (UTC)
thread_title:  What does n# mean?