Talk:Primes in arithmetic progression
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I just created [1] the article Primes in arithmetic progression which mentions myself (Jens Kruse Andersen). The article topic is notable and not about me. The article contains inline citations to my website and includes some computational records by myself. I believe this is done in a neutral way that does not violate Wikipedia:Conflict of interest. My website is only used as reference for completely uncontroversial computer verified computational records. The site is respected in the field for collecting records, and referenced by other article references at the Prime Pages ("Jens Kruse Andersen's excellent Primes in Arithmetic Progression Records" [2]) and MathWorld ("A more complete table is maintained by Andersen" [3]). The Prime Pages only lists records with at least 1000 digits, MathWorld is incomplete and not up to date with records, and printed sources like books by Paulo Ribenboim have many obsolete records, so I think my complete, updated and GFDL licensed record tables are acceptable sources. It would be odd to omit records for those AP lengths where I currently have the record. PrimeHunter 01:37, 13 June 2007 (UTC)
Error for k = 14[edit]
The number (145978014 + 253131151·n)·157# + 1 is not prime for n = 1, 2, 3. When n = 1, it is divisible by 42571, when n = 2, it is divisible by 4361741359, and when n = 3, it is divisible by 1669.
| n | factorization of (145978014 + 253131151·n)·157# + 1 |
| 1 | 42571 · 177031237 · 145471037094899237 · 12878044118880392032571485123904015935949 |
| 2 | 4361741359 · 1791334179877975541386469 · 2953041949801531612683416686164269051 |
| 3 | 1669 · 68447 · 278591 · 17164801 · 58628487782661421475772762675874142815712590666207 |
— Preceding unsigned comment added by 101.14.37.226 (talk)
- Well spotted! The source is my website [4] but I had a typo there. 253131151 should be 25313115 without '1' at the end. My site links the year 2009 to the announcement which has the right number. I have corrected my site and the article. PrimeHunter (talk) 12:08, 7 September 2015 (UTC)
Terminology puzzle[edit]
The k column in the table of largest AP-k is indexed from 1. Shouldn't it be indexed from 3 like the next table? But if it were, it would end with k=24, while the text refers to AP-26 examples. Mdmi (talk) 01:26, 9 May 2016 (UTC)
Update[edit]
There are 2 updates available. 05/18 — Preceding unsigned comment added by Pzktupel (talk • contribs) 11:45, 14 May 2018 (UTC)
CPAP-6 and AP13 — Preceding unsigned comment added by 79.225.166.183 (talk) 05:37, 23 May 2018 (UTC)