75898524288 + 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: | 75898524288 + 1 |
|---|---|
| Verification status (*): | External |
| Official Comment (*): | Generalized Fermat |
| Unofficial Comments: | This prime has 2 user comments below. |
| Proof-code(s): (*): | p334 : Goetz, GeneferCUDA, AthGFNSieve, PrimeGrid, OpenPFGW |
| Decimal Digits: | 2558647 (log10 is 2558646.2002432) |
| Rank (*): | 196 (digit rank is 1) |
| Entrance Rank (*): | 13 |
| Currently on list? (*): | yes |
| Submitted: | 11/20/2011 03:17:58 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 103235 |
| Status Flags: | none |
| Score (*): | 49.5136 (normalized score 80.3468) |
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 37
Subcategory: "Generalized Fermat"
(archival tag id 213648, tag last modified 2024-10-11 22:37:10)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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 103235 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 1 75898 524288 1 2>&1 [Elapsed time: 8.886 seconds] modified 2020-07-07 22:30:30 created 2011-11-20 03:18:01 id 136054
Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
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