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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 #1100000008678210667 1,347 digits created 2026-03-11

Value

137232686616280356129432036199476801216541685235123212013204513697015605329844026856196750012113730161832723839994152858641106297311721430828911668665887056339976814154420256838465629416040002649877425236086866975661744514662379640959134588459917449803892701206344107476022524565585486592861852797129261783664573320530509609893885564191089642701181553669283756224852968466503791014251294367115769295819291462000547699491661664636845351454372537783843735962667970465636413803529363084076693838349278195075496901711403234593936867134872602770204900772589813539870422769463983732029818914765954291383069088938345473238395764787173338971709099185164281129042970091360014374406049833362866003099301377649324146440833105415167512781281278928073137883596286614365308661964229326415470033282519847449766613562530937699173290088774053105378598858304479448214254820336528332911445510406974853204741210249057550535133308422343854624036369116395969580791118198987323196239487366071696406809493725896940210122410998370891354050935837128527844447891048075380934422077111498448106990087439545151019734226278429804357212751357230551469903419509520448070549033944131103719881908702341552054695862743446198256662500874467038908774146215715228189332557459166202302033057453843869828321571468313177979961399276128287907903536607674868931742584045376829410130658423073
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 1,843-digit prime (185 intermediate primes).

Certified number1,843-digit prime
Certificatedownload
Certificate chainshow step 46 of 185

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678210667 --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":1100000008678210667},"decimal":true,"detail":2}}'