factordbrpc · fdb
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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 #1100000004864581047 2,638 digits created 2023-10-24

Value

7226196814159412797864221375288816959123564326501825740511663572458114802692472063195065407797637077570043688730843280686379486012254053704247576631565062511572367154805134456573894986414173253418009486778771106920605838254378007834198640978943284128771184377470499560677635950882861724900047080914489621412629549588180125921515791478869449833031897484996903187411462349736529283040084978208948212096689639300877870509747910222076894147383851407343720876405224353261031500241065568804519995881503837482687994268836443668974282895959358732283208691595219163705568010159977829655684658305181746143724956597021249986184211404021008449457586175201535325542811403167160825164755488594527138058211263205844869970916018558967837870597070403099998287867783519419859203608173249266495605633417769767383423395540564370286076212226179827524576307848944515690182609419158138636015755249171013323506890329022900116286295157212597623394404890560118808208802521103270232533977876874103010470952579978311354287982547786305620788588774721561727145861931874969488352133338950954284895194824307850700145437622810955375773404574222530424669156486057951511998192768044630117038205186344573687390668454238621074729746056728151706245856234782429452110550639506824947961636769536755851226588628298994165288218869715439941592187017056285615808003392310009224684453617829390831146495121705673083936434381524719176278467824675587680721407514950425502031584296046726882369617195538427595202886878665786847742553454998988177031237840933059356055232982354265661178483001236045957111639836961031248954059512062995436259546941028696307312632366420369773698622039400798296118448227097645471952471497276556188995713534161199669209974013869561334727405697600298567254653555647308808294354714352231350135633066755734484364071032416724794289521495043058354262538290478901125542383616529551849024181095684001193947759341160995876065002591480903740348125598126848126055147249257278672278165545580536077664667999671020221830610744370446056216605263657951603118869233066016306987043456230739173682609619507455213946564318032629634453952240432578458646933795758021033515802058434465723220358359238404784964582195359196791335358279215604057989031731389906639814678205177097301428364730346834779843086748092840280786149764511636078492253658993778194542781760981091160920623273852787024793184561874940398253910664178042724457105908270044778715706028569406173315535740004310258496169854294086882311151232685023106768672068016880962402052658658527649536883340473537688241634762370143527906935589511656162754940507297461504083628675983510638079429591578013032936200089475571954100971547
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 2,815-digit prime (319 intermediate primes).

Certified number2,815-digit prime
Certificatedownload
Certificate chainshow step 22 of 319

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004864581047 --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":1100000004864581047},"decimal":true,"detail":2}}'