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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 #1100000009131611627 2,823 digits created 2026-09-03

Value

460064347971159895371145083584169639853868021267308077027216107509291734017480831445576987101085779651539573106684052524719983114479194751422071353860007069003491867551170718696018671190204884000803160316748771708623949222335500830294720649716405336649529756361262136475671786642438071651551900947975653645868628851266346855962760249776093108846034397999311536194768300756519073783984614224308518959946014668590423962732225897240235471349372172208729159387739182569695006270727534099879861439528424724787801545676358125137048561414394226965412841520491375538049829165373565849744446833242389231915703520711277307104784474913691374716565074320033475846300612703481258386803525094365793584598350488032797257818095506866038136019709740020064672501373365498859656851599409172222115734884051806585041010564131890141609981947638487410735851152174673886426235034888697333488231894330162535878429833030916817652248094620680468559858332027280653569691337783507025905904927293523362973029011231209210736441071863354370248181219647298614893084738951093372556965629057214720570402421634134504318710117297343100370038314840517960689415577652714690372711027448981754787847320842854116852707289533557784133357487024213751407939580859914292304222812959391953426918059457718034837270192048271829340096203764131041498276287059272823430179286098584339545934042942139317455135632281936972048739529912978539375419494297047676828282835152233074850919664611154906328165336659402989355150128243519668827295765723887335553289938565529656508359674504445467976447995307239976532010901856942073845703446208641324315310438616639124886589559265348248110868456133399737762539077946755673385736269950252976227102050287507529534326184159112032596153092963235850633686380105356256302297712988869870788079652342654108761222230988594529086541416279593584150078430651881781693045506639263201713506406415224613594268309402993426570857255992282149258752304726076221177746636210131135363191365806111026027397495595465100851506046437476662624119609001011584946844329724102713027182511493647920569266773345959198421522753872328845046559615460708902224899765202029902592558172666590737366528596036837146308622010382843220958902305092714714695174086243329669398362842339861053332490770062695071685026363315156905132964965680179655169657039513181734787681622746871391204686616648430231565016773167858223216075778282753443925479068375936331019249345557421387191061611152341050489645327036244476185019478363491662454335452206194712517070964855898035494031874510801040526741398099475251995481028792384905862066485893486791169113932432075361130885868330850102211654827654128909390806820211522488891641235607070072823326717998238165292486200272187456468744709909160611385484005325599186267902013601883490103529147068583308127165376533501878445957912145259384801307435586827
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 31 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131611627 --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":1100000009131611627},"decimal":true,"detail":2}}'