10125877 - 7 · 1062938 - 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:10125877 - 7 · 1062938 - 1
Verification status (*):Proven
Official Comment (*):Near-repdigit, palindrome
Proof-code(s): (*):p235 : Bedwell, OpenPFGW
Decimal Digits:125877   (log10 is 125877)
Rank (*):44916 (digit rank is 1)
Entrance Rank (*):11632
Currently on list? (*):no
Submitted:10/31/2010 23:29:04 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:95802
Status Flags:none
Score (*):40.2631 (normalized score 0.0087)

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.
Near-repdigit (archivable *)
Prime on list: no, rank 102
Subcategory: "Near-repdigit"
(archival tag id 211052, tag last modified 2024-02-07 04:37:20)
Palindrome (archivable *)
Prime on list: no, rank 63
Subcategory: "Palindrome"
(archival tag id 210872, tag last modified 2024-01-17 08:37:12)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -o -f -q"10^125877-7*10^62938-1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 43582788 10^125877-7*10^62938-1 has no small factor. [Elapsed time: 411.113 seconds]
modified2020-07-07 22:30:33
created2010-10-31 23:35:02

machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -tp -q"10^125877-7*10^62938-1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 10^125877-7*10^62938-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 19, base 1+sqrt(19) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(57344,20) to FFT(57344,19) Reduced from FFT(57344,19) to FFT(57344,18) Reduced from FFT(57344,18) to FFT(57344,17) Reduced from FFT(57344,17) to FFT(57344,16) 836326 bit request FFT size=(57344,16) Calling Brillhart-Lehmer-Selfridge with factored part 34.95% 10^125877-7*10^62938-1 is prime! (-691.0946s+0.0200s) [Elapsed time: 2.22 hours]
modified2020-07-07 22:30:33
created2010-10-31 23:38:02

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.
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