6 · Bern(998)/296588551547765456431413732\
78356488362595959751636720413920487956826943983379\
52479245174549669820919069151953909335704777678319
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: | 6 · Bern(998)/296588551547765456431413732\ 78356488362595959751636720413920487956826943983379\ 52479245174549669820919069151953909335704777678319 |
|---|---|
| Verification status (*): | PRP |
| Official Comment (*): | Irregular,ECPP |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | c62 : Minovic, TOPS, Primo |
| Decimal Digits: | 1640 (log10 is 1639.6285969755) |
| Rank (*): | 108662 (digit rank is 3) |
| Entrance Rank (*): | 84371 |
| Currently on list? (*): | no |
| Submitted: | 2/17/2013 07:11:52 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 111272 |
| Status Flags: | Verify |
| Score (*): | 26.8173 (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.
- Irregular Primes (archivable *)
- Prime on list: no, rank 25
Subcategory: "Irregular Primes"
(archival tag id 215089, tag last modified 2023-03-11 16:02:31)- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 987
Subcategory: "ECPP"
(archival tag id 215090, tag last modified 2024-04-19 02:37:11)
User comments about this prime (disclaimer):
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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 111272 person_id 9 machine RedHat P4 P4 what trial_divided notes PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 4252036417749786....6883925656443481 1/1 mro=0 trial factoring to 402143 4252036417...5656443481 has no small factor. [Elapsed time: 0.378 seconds] modified 2020-07-07 22:30:22 created 2013-02-17 07:18:02 id 152816
field value prime_id 111272 person_id 9 machine Ditto P4 P4 what prp notes PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 4252036417...5656443481 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N-1 test using base 11 Running N-1 test using base 13 Running N+1 test using discriminant 19, base 9+sqrt(19) Calling N-1 BLS with factored part 0.37% and helper 0.33% (1.43% proof) 4252036417...5656443481 is Fermat and Lucas PRP! (1.0481s+0.0005s) [Elapsed time: 1.00 seconds] modified 2020-07-07 22:30:22 created 2013-02-17 07:58:44 id 152822
Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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