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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 #1100000009061620193 2,242 digits created 2026-08-09

Value

2609217005918789012453874115185007924523168422822829910732244914656578102754115760113886873562745978759926943899930184248780930106883637281651905276567274780321803675673001216964074145968772223139037861793108076344340252458159455190399318540891610898768322170710028186620778026794890007036559172131087292461720625345799360449826724501951384103382180313234629603324263224107544622397850647693807366892160575262518991254411601046681653593294441701671169741951127235090541386177301931237526226343966220645226686407028062191378625576201957838678134353164871964719582884347301479621865344359358071501238566523836447704375712799090816506066695756497734546564669078299540540038201067707757678925737325296048384171856455682881053561992090711590111632275757118204265294068134878961329542132354439198992289036273105016018958880976451082347762671765305495370120786486557533805960902440806235664081863229566080068984777938261432233132968637164789425713842732397345608143079090116464746926223044348335590926079028262954191936476814765486806216050397051170840944768935451119696630356534158235961480938075029104309803498617150327167824271698055350006052473038503966164133010689612159145729875885067346555637304501287047320293280953025406835431683158890940654746416688082152077593338716595801257421473449309877590798701513771481924450868392647938551936632991899725902042608345698321573460565059452264933010975663158063116619384119061215806826534885806037835521479424934226897713632157408390954047342262947369516747499071106534568463523899020320061723925780563901433173291785822352962942300444172505041601117830437333596467060779368767829907178879559443618052762161495592150027615664208104444047909158643499357409771888521282477297637117159789158578389839830489167336665265594000391281125036808982893710940687402150543259936454854552244916389321711600964819837182427616111451211277952720097145377719087893576968221408744176825966165050084427235986209393841312539906461632169633325334772826538827646495657823480530096587560102612410165159192288154783532066293685100099579982899879533834583927342070186741808270504537466902409379005000506390397780873931383321732855033760580237290619892919129664648069048503323961761764264973214015715182124490557410113083151103
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 2,562-digit prime (190 intermediate primes).

Certified number2,562-digit prime
Certificatedownload
Certificate chainshow step 21 of 190

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009061620193 --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":1100000009061620193},"decimal":true,"detail":2}}'