factordbrpc · fdb
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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004870710673 2,232 digits created 2023-10-25

Value

135972328721613586112311265945685413810527508173967834041171895706549404195276032480512639987173523665729477446475006915430532788573856504010340307820843288437019648980278725257394909434953263473027699144287135169182387282244505909540357049275989487332664626122955740072396282159955229591687317929349655202814742375829607562258239775741281469347627872052018239145056949970009874235114599818538709696916414665775490215569598302749304555067035732594019619643689145152416843731873894531895995367095280064311339418259070368541337200252741252314072654293066817921379551426606997566241669592589967835380513417812145627200431691476898574069946663996859844930778102926138276234336822617466995581220159512173888047037928406132401271631975229755045928410468282933118240686785295045407255144131271874971445239549854104898798603894379050634356305039459215317478863843381335527412980043974043177116979166621973981268584410532615749517374227723117832036497435845428518010142031295012365736133394863130760917657945696537071701612451552688916654444916043161277673009145417067085540626993927242213991921767604401385309555907127771002420994156651804435833192870051065785786363479054489788751223855864707720511917048125544185130531035444286783829186346908795626003090710408758059759287863902382345680723870270316852353412670292111048445625756753204665035638018040475235406088217695615083278138215519800035153381595463151561593307776123197440075960091169630546653353651122268524989044896290066799798573238219534184861090228906616077222049810386436199632782441536592723757533858616082637284267818113057349458027338159220417952782248636769977416567871008058517294595027997947107136390258639016355130735383208487998965473583440367958294078590857081894308054275417613708036399376790330190191202980649414568978365519160007596404426710752784006465841802216646415615336936114423678804176007901430082542320363170329685621549557509861024604534245925796190152430744781529029115955154649799151083996649103143740831288855212280798696953515829006977047885241032484902625107987191449545866716874665663906338501998322456275572364145659238445309201717967750302415910980899071011501921600798164679820115452865791652371970903320674413490523021748196120493369878916518949
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,638-digit prime (309 intermediate primes).

Certified number2,638-digit prime
Certificatedownload
Certificate chainshow step 45 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004870710673 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004870710673},"decimal":true,"detail":2}}'