169 · 22545526 + 1
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.
|Description:||169 · 22545526 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Divides GF(2545525,10), generalized Fermat|
|Proof-code(s): (*):||L2125 : Greer, PSieve, Srsieve, PrimeGrid, LLR|
|Decimal Digits:||766282 (log10 is 766281.90862926)|
|Rank (*):||2306 (digit rank is 1)|
|Entrance Rank (*):||227|
|Currently on list? (*):||short|
|Submitted:||1/20/2015 13:27:06 CDT|
|Last modified:||1/20/2015 20:58:07 CDT|
|Score (*):||45.816 (normalized score 3.4347)|
There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper. Such primes are tracked with archival tags.
- Generalized Fermat (archivable *)
- Prime on list: no, rank 654
Subcategory: "Generalized Fermat"
(archival tag id 217887, tag last modified 2022-05-20 11:50:22)
- Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
- Prime on list: yes, rank 4, weight 50.945982717617
Subcategory: "Divides GF(*,10)"
(archival tag id 217888, tag last modified 2021-02-18 04:50:24)
The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions. We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
field value prime_id 119120 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/pfgw/pfgw64 -t -q"169*2^2545526+1" 2>&1 PFGW Version 126.96.36.199BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 169*2^2545526+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 169*2^2545526+1 is prime! (2199.8524s+0.0009s) [Elapsed time: 36.67 minutes] modified 2020-07-07 17:30:17 created 2015-01-20 13:31:01 id 164724