3 · 280190 + 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:||3 · 280190 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Divides GF(80187,3) [BR], arithmetic progression (1,d=(39*2^27588-3)*2^80190) [x12]|
|Proof-code(s): (*):||Y : Young|
|Decimal Digits:||24141 (log10 is 24140.072473549)|
|Rank (*):||67779 (digit rank is 1)|
|Entrance Rank (*):||8|
|Currently on list? (*):||no|
|Score (*):||35.168 (normalized score 0)|
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 Divisors (bases 3,5,6,10,12) (archivable *)
- Prime on list: no, rank 53, weight 36.266709352294
Subcategory: "Divides GF(*,3)"
(archival tag id 191906, tag last modified 2021-02-26 11:20:20)
- Arithmetic Progressions of Primes (archivable class *)
- Prime on list: no, rank 63
Subcategory: "Arithmetic progression (1,d=*)"
(archival tag id 191905, tag last modified 2022-04-28 15:37:19)
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 7057 person_id 9 machine WinXP Athlon 1.3GHz what prime notes PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 5 Primality testing 3*2^80190+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 3*2^80190+1 is prime! (70.591000 seconds) modified 2003-03-25 11:23:09 created 2003-01-01 19:35:44 id 59461