271357 · 28943013 - 1

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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:271357 · 28943013 - 1
Verification status (*):Untested
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):A33 : Przystawik, Srsieve, CRUS, PRST
Decimal Digits:2692121   (log10 is 2692120.598154)
Rank (*):208 (digit rank is 1)
Entrance Rank (*):208
Currently on list? (*):yes
Submitted:10/13/2025 08:15:00 UTC
Last modified:10/13/2025 08:37:12 UTC
Database id:141148
Status Flags:Verify, Lint
Score (*):49.6694 (normalized score 54.8681)

User comments about this prime (disclaimer):

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Jeppe Stig Nielsen writes (13 Oct 2025):  (report abuse)

The n for which 271357*2^n - 1 is prime, are n = 1, 8943013, ..., so this prime is second in this sequence. But the first one (n = 1) does not satisfy 2^n > 271357.

In other words, the first prime of form 542714*2^m - 1 with m > 0.

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