1768 · (1869 · 23314 + 1) + 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: | 1768 · (1869 · 23314 + 1) + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | SU : Suyama |
| Decimal Digits: | 1005 (log10 is 1004.1324971925) |
| Rank (*): | 133513 (digit rank is 381) |
| Entrance Rank (*): | 899 |
| Currently on list? (*): | no |
| Submitted: | 1989 |
| Last modified: | 11/19/2024 13:42:24 UTC |
| Removed (*): | 1993 |
| Database id: | 58455 |
| Status Flags: | none |
| Score (*): | 25.2848 (normalized score 0) |
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 58455 person_id 9 machine Using: Digital Ocean Droplet what prime notes Command: /var/www/clientpool/1/pfgw64 -V -f -t -hhelper.php?id=1100000007609500671 -q"1768*(1869*2^3314+1)+1" >command_output 2>&1
PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 1768*(1869*2^3314+1)+1 [N-1, Brillhart-Lehmer-Selfridge]
Reading factors from helper file helper.php?id=1100000007609500671
Prime_Testing_Warning,
Running N-1 test using base 3
Generic modular reduction using zero-padded FMA3 FFT length 320 on 413049*2^3317+1769
Calling Brillhart-Lehmer-Selfridge with factored part 99.67%
1768*(1869*2^3314+1)+1 is prime! (0.0100s+0.0002s)
[Elapsed time: 5.00 seconds]
Helper File:
2
13
17
76738787306076837445256551336310371...(1001 digits)...79975760295336059127265237659549697
3
29
61
3593modified 2024-11-19 13:42:24 created 2024-11-19 13:42:19 id 184582
field value prime_id 58455 person_id 9 machine Linux PII 200 what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 3 Primality testing 1768*(1869*2^3314+1)+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 0.30% 1768*(1869*2^3314+1)+1 is PRP! (1.290000 seconds) modified 2003-03-25 17:23:49 created 2002-12-27 20:53:03 id 53244
Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
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