The Prime Database: 6479*2^527463+1

6479 · 2⁵²⁷⁴⁶³ + 1
(Another of the Prime Pages' resources)

GIMPS has discovered a new largest known prime number: 2^82589933-1 (24,862,048 digits)

For this prime : General Information : Verification Data :

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help) value

Description: 6479 · 2⁵²⁷⁴⁶³ + 1

Verification status (*): Proven

Official Comment:

Proof-code(s): (*): L1204 : Brown1, PSieve, Srsieve, PrimeGrid, LLR

Decimal Digits: 158786 (log₁₀ is 158785.99611089)

Rank (*): 32144 (digit rank is 1)

Entrance Rank (*): 4648

Currently on list? (*): no

Submitted: 7/19/2010 12:30:08 CDT

Last modified: 7/19/2010 13:50:21 CDT

Removed (*): 8/7/2010 22:20:33 CDT

Database id: 93621

Status Flags: none

Score (*): 40.9782 (normalized score 0.0477)

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 93621

person_id 9

machine Ditto P4 P4

what trial_divided

notes Command: /home/ditto/client/TrialDiv/TrialDiv -q 6479 2 527463 1 2>&1
[Elapsed time: 9.587 seconds]

modified 2011-12-27 16:48:39

created 2010-07-19 12:35:11

id 116621

field value

prime_id 93621

person_id 9

machine Ditto P4 P4

what prime

notes Command: /home/ditto/client/pfgw -t -q"6479*2^527463+1" 2>&1
PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Primality testing 6479*2^527463+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Using SSE2 FFT
Adjusting authentication level by 1 for PRIMALITY PROOF
Reduced from FFT(65536,20) to FFT(65536,19)
Reduced from FFT(65536,19) to FFT(65536,18)
Reduced from FFT(65536,18) to FFT(65536,17)
1054960 bit request FFT size=(65536,17)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
6479*2^527463+1 is prime! (1456.0900s+0.0000s)
[Elapsed time: 24.73 minutes]

modified 2010-10-13 12:41:36

created 2010-07-19 13:01:58

id 116626

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.