PrimePage Primes: 4653 · 2^850708 + 1 Primes Home Status Search Top 20 Contact PrimePages PrimePages' Home 5000 Largest Top 20 Primes Prover Bios Prime Curios! Prime FAQ Home Primes Display prime 4653 · 2850708 + 1 Previous Next Random 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: 4653 · 2850708 + 1 Verification status (*): Proven Official Comment (*): [none] Proof-code(s): (*): L1935 : Channing, PSieve, Srsieve, PrimeGrid, LLR Decimal Digits: 256093 (log10 is 256092.29328437) Rank (*): 22434 (digit rank is 1) Entrance Rank (*): 2697 Currently on list? (*): no Submitted: 5/1/2012 12:07:22 CDT Last modified: 5/1/2012 12:50:23 CDT Removed (*): 9/16/2012 02:57:22 CDT Database id: 106698 Status Flags: none Score (*): 42.4487 (normalized score 0.1126) 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 106698 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 4653 2 850708 1 2>&1 [Elapsed time: 10.332 seconds] modified 2020-07-07 17:30:26 created 2012-05-01 12:18:01 id 142985 field value prime_id 106698 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/pfgw -t -q"4653*2^850708+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 4653*2^850708+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 4653*2^850708+1 is prime! (1590.0800s+0.0108s) [Elapsed time: 26.50 minutes] modified 2020-07-07 17:30:26 created 2012-05-01 12:23:02 id 142989 Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments. Printed from the PrimePages <primes.utm.edu> © Chris Caldwell. Chris K. Caldwell caldwell@utm.edu Mathematics and Statistics University Tennessee at Martin Contact Us Collections Prime Glossary Prime Curios! Proving Primality Frequently Asked Questions Proofs Prime Lists Largest Known Primes Top 5000 List Lists of Small Primes Records for Different Types Mersenne Primes Pages How many primes? Largest Known by Year Prover Bios Top 20 Provers Various Searches Copyright © 2022 PrimePages. (Privacy notice)