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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 #1100000009075706953 2,379 digits created 2026-08-11

Value

165454534847418044807923628707564953682700792675930233243204340687757995365202678269249408145645515439013938098452923872122706377746109621979389150934583576556878083141937101009028943333554642304099521958666194436438009920264557211911783238291172009308233015796682001698849161452895495902178726211635243537179445464914408824022894395513697258239771214097789061204802017757925421644717624257888251955940411053660362738789683858861334481904883043113747743989976871502316591512793978113989113080122957773271313771901249530031044270407484011929807653561680581721242936351961334935870816846114426348531464515287241310700143174937425597218020986466627175337057838910152603835762699365426914815900099768677847262411642688207373927918989146839733460783368197468059517758200966167222393690291434062669401149786702158079569751845723852766250038827090601571576917886180028549686106946919078011261959189199813783194945654358986415402732126360507114645964107141117796009792040562110590083367828670537473952393423389644892649473747965638796130648401596774905879506922399392344993152355862377585016300008753796579857214551766221876070565800708691850834906301253638508149089537701431686165062196513596489561445965422269043866330340019871958424696844060721657489387056015384404584033773031632866130093546314762599687997225356412451072820902871556680235110891572502593516197255482938617783861826269050011335039307066984467377460774699421160457615162594066862049715133039286791071481831098649517833800772283616717639000352424714124642488349555812512300546842172088359750032325167360034722014569682001211477574510073328555836928518056556934980779595879493961501107307720214460138130392971689727053785574132448860031176878720373226838945823405301910216334509257408475412241864872857643295474930510667992040467612466634210957801975820338954008258639760891926756269272455794444730747864508963136479753037728815277255982352116279391173301314208783824696325768178353047377285544544957091404872971756041172104811401336379925914743063727244173708472476318286194947722292296562016712184521029939339801497389546328642585263403304936085823943733654028416045447466728765494837448031514595024518630156010994325265802122357548325959744113246853571025060287538487552348192061510049269328312572228719539638115710102698612583392018662466093302125859169682668890713351523258407984923077416868744229016468928863558431
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 20 of the certificate chain of a 2,657-digit prime (210 intermediate primes).

Certified number2,657-digit prime
Certificatedownload
Certificate chainshow step 20 of 210

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075706953 --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":1100000009075706953},"decimal":true,"detail":2}}'