177 · 2324326 + 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: | 177 · 2324326 + 1 |
---|---|
Verification status (*): | Proven |
Official Comment (*): | [none] |
Proof-code(s): (*): | g226 : Snyder, Proth.exe |
Decimal Digits: | 97635 (log10 is 97634.102346983) |
Rank (*): | 54155 (digit rank is 1) |
Entrance Rank (*): | 369 |
Currently on list? (*): | no |
Submitted: | 10/5/2003 00:41:39 UTC |
Last modified: | 3/11/2023 15:54:10 UTC |
Removed (*): | 6/20/2007 19:15:43 UTC |
Database id: | 66477 |
Status Flags: | none |
Score (*): | 39.4805 (normalized score 0.0026) |
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 66477 person_id 9 machine Linux P4 2.8GHz what prime notes Command: /home/caldwell/client/pfgw -f -t -q"177*2^324326+1" 2>&1 PFGW Version 20030811.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 33227300 Running N-1 test using base 11 Primality testing 177*2^324326+1 [N-1, Brillhart-Lehmer-Selfridge] Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(40960,20) to FFT(40960,19) Reduced from FFT(40960,19) to FFT(40960,18) Reduced from FFT(40960,18) to FFT(40960,17) Reduced from FFT(40960,17) to FFT(40960,16) 648676 bit request FFT size=(40960,16) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 177*2^324326+1 is prime! (1414.4807s+0.0004s) modified 2020-07-07 22:30:47 created 2003-10-05 02:01:37 id 71385
Query times: 0.0005 seconds to select prime, 0.0004 seconds to seek comments.
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