V(56003)
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: | V(56003) |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Lucas number |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | p193 : Irvine, Broadhurst, Primo, OpenPFGW |
| Decimal Digits: | 11704 (log10 is 11703.93481692) |
| Rank (*): | 82345 (digit rank is 1) |
| Entrance Rank (*): | 30818 |
| Currently on list? (*): | yes |
| Submitted: | 6/19/2006 21:41:00 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 77992 |
| Status Flags: | none |
| Score (*): | 32.9276 (normalized score 0) |
Archival tags:
There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper. Such primes are tracked with archival tags.
- Lucas Number (archivable *)
- Prime on list: yes, rank 10
Subcategory: "Lucas Number"
(archival tag id 194012, tag last modified 2023-12-16 03:37:32)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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 77992 person_id 9 machine WinXP Pent_M 1.7GHz Laptop what prime notes Command: pfgw.exe -n -tc -hhelp.txt -q"V(56003)" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Reading factors from helper file help.txt Running N-1 test using base 3 Primality testing V(56003) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N-1 test using base 11 Calling N-1 BLS with factored part 34.71% and helper 4.92% (109.05% proof) V(56003) is prime! (313.0343s+0.0791s) Running N+1 test using discriminant 17, base 1+sqrt(17) [Elapsed time: 313 seconds] Helper File: 2 3 3 11489 12923 56003 90481 185243 1400051 9261553801 12280217041 8626603198547 31572462326809 829174305548253830437427 36341293428919577145708038507 2127270730314753631848590301541129 113057373142533964948220795124814988053201 2727093182085627984424271137376420035190753262962003 130068830576457315825778446872622609400993687965962969 14195557511624298007089606382491832...(182 digits)...35596601305528339551641591948987769 86754297850303038757345917530131386...(3573 digits)...91871534517079807494228205790812963 2 2 2 5 79 233 521 719 859 2153 86161 135721 1648529 4312153 5516393 10365049 22513609 215583091 2563820041 15834206933 503863425829 1517456267839 81930214232177 98609734678214057 18774525092901870211 396866520074714493901 8002416558724839335293637 1677197765608926367411736822376373 591045866085042506389105054361881124597940603179391791 475420437734698220747368027166749382927701417016557193662268716376935476241 96202714977294636483288309569212306...(99 digits)...47017302423332986081577245143590421 26267767032828428935234891825451960...(106 digits)...99370484379038134362043762973377489 modified 2020-07-07 22:30:42 created 2006-06-20 14:15:06 id 84547
field value prime_id 77992 person_id 9 machine GenToo P3 400MHz what trial_divided notes Command: /home/caldwell/client/pfgw -o -f -q"V(56003)" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 3405768 V(56003) has no small factor. [Elapsed time: 3.587 seconds] modified 2020-07-07 22:30:42 created 2006-07-07 15:39:53 id 85240
Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.