1031789849127 · 21290000 - 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:1031789849127 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2760 : Donovan, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.70799779)
Rank (*):13949 (digit rank is 827)
Entrance Rank (*):1456
Currently on list? (*):no
Submitted:10/31/2013 15:32:23 CDT
Last modified:10/31/2013 19:51:09 CDT
Removed (*):2/22/2016 02:09:30 CDT
Database id:116162
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.3823)

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/llr.pl 1031789849127*2^1290000-1 2>&1 Starting Lucas Lehmer Riesel prime test of 1031789849127*2^1290000-1 Using Zero Padded IBDWT : Mersenne fftlen = 65536, Used fftlen = 131072 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... 1031789849127*2^1290000-1 is prime! Time : 5934.801 sec. [Elapsed time: 1.65 hours]
modified2020-07-07 17:30:18
created2013-10-31 17:52:32

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