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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 #1100000007512648035 3,524 digits created 2024-10-09

Value

91127671693150493958203259400271333419416478983373588105705873535339316205533027263857260286006309770345309189106877928889874067507097106226898293635391009243095394575106188398349522987188563000109925234570296456287296219142508149475594896622709012450290473043224586993403727859138061821157879809368998406855708863412206003915951042399089924189427574310126662196376121414210634984281987480341397160512940108811375582624767512461416330505968907506007011672231007931645609620062635025059422586500217544154844803971253321611128760220859840223917169405827809269407234081799807601405902467855293956548507616123123219552311827296392229197430353763531532142106537231648665029629950861878515618311727091139005535985649841628325203422731104326374020687233502481587287154078845087195672091052350495766387357316854395912896982448165233964630759220422796912248100248017888773525665479271106177298436646224912199162239039003652128207283361367576599627754257990997588398389406713229491239656047545452176839890797089518960185388234030929080163000691017496676119994196632167360404342200417542480535709766543067341950227181641588464854382223210690004185003092709083289004452190073739280853742353241588148697467568070214200613120910044934746291559802865166382095382082423343160185651459025823095297717762776529707830533041552282885321260299850170762306940157033852646017298607249295883182072407083955555875789998001477815939349802940261027210345208792811282554417707991668288097679379386848362718413872803005572336025386550278178200477878752327534819575488516169162958512353132632035832941951798846578290406845069852427162723354298047766701791972222112902041041690361584774890014358689329735305335029298572925552639134425908980212796685360691479308349522281262186769203171564840912960903854799170369726506538390209946623099739876959914444961171175439568972629692950098971624225851323300584519099788966144262653214006710043732914741874210249962081575394157559605442476040729645733929410555580108434605688889915458218096840488822512052370637502810251029238486542168705458455435354409860213268639452001515346990447108102501024280032691829251341773892189284819083526864793966392540418466290850821166956411357235071116372639094857559220075205832812002419018978622505989392050768253355240401471792190978281898160439908596054459153268761770145048878097980544454043945360953673006038398295242471179329189179014773418836129887644837281480796369563542767565591051821546876926009911967169408128800558949939049084104461091813732935990507642305539895146737406784264953972024292437795554816227264749141037970646412444840911024972311510386493768223657631473887497078430587486109700775077586175914806662229497887217499068393693604898585336693396061367986681783890550752359836702006640507600768506892017519269283750153049606036412699950432552075789210348195530341554937769146939295735681951122119331207891639593881322696685853901097867560450187195867603969102543706029988704377500586673677014143224443571733571269166094930700170879633893006804782349237163544909681988485095775823581675132036999582700538817531505542800328444668371512127797051051367155146687836461493192423156871215123374789715327411021085475694915911371486532953817638836701193927106973194543241420406046059435250159604910943381698407946643383488549307614906456939650042854643294223657731396201095842344560566374324574018398104550596510581395998048330654251181054839711982201305498805898107884238824285838336738785618301033745341025312366370563560422256603645637309743401808948739701933651859
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 4,097-digit prime (243 intermediate primes).

Certified number4,097-digit prime
Certificatedownload
Certificate chainshow step 38 of 243

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007512648035 --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":1100000007512648035},"decimal":true,"detail":2}}'