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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 #1100000009070152073 1,616 digits created 2026-08-10

Value

22249318249731971194233073146834986004830750375734092731104533040561309213318580911676762681931897943097020356095351928278713151775531353198338919844357270012165196797432257482179281589882613559351561677638972418726686585166998637931635898284944654345735021416454102131767992091967034445720136126235420578827313701607543144000029849717898722456617005363966354124205317271252369927047979208741697270253931157951973266358555230103456991400723983786442667189905521113226439312790566597308294975876829030478304095775548080092142904783161407169387117209069134796365437199900767733050711893793394305252480299667183507859494110177824280400036505063024355960041343554549547134649304940492172819726631116497619612662458377595617946468009624852514101882198268269938874995323066837719937910810728875649861263720452968361084887590343804707913690935552495923347947699496934446136472306682521184406681085418246563139663726004373056557815716666066569861872615260282548790725826250442510534782457365688183640161201427078234142796093217897771027830608697679893752818781920935345949661491090237919385671112735139129241844804214016408265040795646016942308239703756734318315541127881849998620874346340457821431679161141739926120646704497991447857605731546411441232844598449408426451697740964117019732590699260666652405157347120343547931097243838269723470774952488838462876756536620617214403047140040739452166512791950312370253733493617747138355578320238067222551188323994745405883787660269900679313386109890372539841841727044021730009841964260814408046959899055274775666073816426259727871535404037890834725269017716041089585176158920801
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 70 of the certificate chain of a 2,498-digit prime (183 intermediate primes).

Certified number2,498-digit prime
Certificatedownload
Certificate chainshow step 70 of 183

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009070152073 --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":1100000009070152073},"decimal":true,"detail":2}}'