49 · 272210 + 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.
This prime's information:
| Description: | 49 · 272210 + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Generalized Fermat |
| Proof-code(s): (*): | g39 : Carlen, Proth.exe |
| Decimal Digits: | 21740 (log10 is 21739.066182976) |
| Rank (*): | 72721 (digit rank is 1) |
| Entrance Rank (*): | 101 |
| Currently on list? (*): | no |
| Submitted: | 6/22/1998 06:58:32 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 7/23/2001 21:03:06 UTC |
| Database id: | 8159 |
| Status Flags: | none |
| Score (*): | 34.8441 (normalized score 0) |
Archival tags:
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 6954
Subcategory: "Generalized Fermat"
(archival tag id 207165, tag last modified 2024-04-19 01:37:22)
Verification data:
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 8159 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 3 Primality testing 49*2^72210+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 49*2^72210+1 is prime! (46.597000 seconds) modified 2003-03-25 17:23:14 created 2002-12-31 23:03:06 id 58947
Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.
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