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Message boards : Fermat Divisor Search : Your prime "is a Factor of ...", where is it listed?

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Profile JeppeSNProject donor
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Joined: 5 Apr 14
Posts: 1011
ID: 306875
Credit: 12,036,914
RAC: 14,561
Found 1 prime in the 2020 Tour de Primes321 LLR Silver: Earned 100,000 credits (360,928)Cullen LLR Bronze: Earned 10,000 credits (98,851)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Ruby: Earned 2,000,000 credits (2,933,416)PSP LLR Silver: Earned 100,000 credits (212,242)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Bronze: Earned 10,000 credits (16,010)SGS LLR Bronze: Earned 10,000 credits (32,969)TRP LLR Bronze: Earned 10,000 credits (71,060)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve Silver: Earned 100,000 credits (175,037)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 133899 - Posted: 15 Oct 2019 | 12:38:45 UTC

By popular demand (almost), here is an overview over where your prime will be listed if it is a factor (a.k.a. divisor) of a Fermat number (F), generalized Fermat number (GF), or extended generalized Fermat number (xGF).

In the following, a question mark (?) denotes any number.



One prime can appear many times in Keller's general list (if it divides several of the considered numbers).

To find your row(s) in Keller's long pages, use your web browser to search, in the page, for the exponent n only. For example, if your prime is 31*2^4673544+1, search for 4673544 in the page. If you are the finder (as opposed to the double checker), it should also be possible to search for your surname. Full names are in the bottom of the page.

While Caldwell's pages (the Top Twenties) are generally updated automatically, Keller's pages can take weeks or months before updated.

Additionally, the search here at https://www.primegrid.com/primes/primes.php lets you filter out ((x)G)F divisors as well.

/JeppeSN

Profile JeppeSNProject donor
Avatar
Send message
Joined: 5 Apr 14
Posts: 1011
ID: 306875
Credit: 12,036,914
RAC: 14,561
Found 1 prime in the 2020 Tour de Primes321 LLR Silver: Earned 100,000 credits (360,928)Cullen LLR Bronze: Earned 10,000 credits (98,851)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Ruby: Earned 2,000,000 credits (2,933,416)PSP LLR Silver: Earned 100,000 credits (212,242)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Bronze: Earned 10,000 credits (16,010)SGS LLR Bronze: Earned 10,000 credits (32,969)TRP LLR Bronze: Earned 10,000 credits (71,060)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve Silver: Earned 100,000 credits (175,037)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 136699 - Posted: 26 Jan 2020 | 0:13:06 UTC
Last modified: 26 Jan 2020 | 0:17:46 UTC

Caldwell no longer includes genuine Fermat divisors (first bullet above) in his list "Generalized Fermat Divisors (bases 3,5,6,10,12)" (second link in that bullet). This is more logical. It also corresponds more to what Keller does. /JeppeSN

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Message boards : Fermat Divisor Search : Your prime "is a Factor of ...", where is it listed?

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