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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 #1100000007100334232 3,038 digits created 2024-05-23

Value

17351168978095091275767211692216308030954673260187362592329677506977412277958183217882323140249118478969650678786635716101867752318192174017358896770072147213371920525482418277740066407712879059418994232471602752877527298960352142882824266124988283876928009591635171830186928923837252492293860961831229840503691801338944565546335857443773683462630359695951623099826965617101102660778222640888538439756480422716897030884176564944676141259730968847791781279041322330820129958255840344638761775783143713046722623703900983037636413545005686099026467850719151938003731656993127097051838245303104113647367133763793429376979125277970895158764926424352748289699056302924791483583327422805751640142434533441603059133270720293554063797628822083258678797413685363308496324120957668345016411109119598047075352098129130138267224240811070400265697096369683063055353961949175289932790782885386723199362903247153358003233818713548461426679605178978992976439324540604022569006982973763850440392166981480734310571554449083529034080029471023585319530464333041179939065451820011342057094097548897047265953650387955076572727662064048397388451828477843575243998035079701611257555061463980241785246382116514228839070645285937302923070184685674633738126059971919284811760150207054808452107336553014258629800063361278259798777422091184562732248884238469081068876754975939796949266578994667352907935790969115210417640883600594254108897657731728235768893002921691791104941533922110088032342309361645455759474343896662713241352956355869618811986169264055009497803271850711797543653157229669314357979077871978404723476513086712496045670743606459711007823017013776794193831968895685742372763154192846847575641568217681778482760318654113721264814265448043304954847887866417065707220424700906872897609678248731181072374346667475100697684549283870072157451432972404838109814983204126422366205274119145272762418099697737881642196149824713390920041329904916466482461286149999729191136433711571194417977788948276233646737211669069571758834821626900709342122683402764887000278998251440290037969406874085081757931980922006556017447274830309142457641145692218732941710858342875455652902079293819366589691661785816808377252021531785234049374340055508289835912783683768273947016495749011373406447817060385745861501632615045004553199238983324438730351300101476073209934240527281854469297364697314117155220107356151697873613496253357663691356541436214723344931648652416195405799605011667574603132996505074260317332038376779525611277724839579138742650139437106680672386648949391157056344118551823910837981107179369124821667317253703312612196734719073158989177303701890005673526494774632650150197779725696277637852288130393591879392655013651575518327513307025747107238553538871015249191651410082212712301685128717804817727118812562248117822512843566490668796856594396228492952888593548144773952516125576597691553819932315309669370253398590927669617988404464751287327913604931837233524445408516825612597662646361830092469202118797625918652576547701750248963872652005910289330955731003
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 3,454-digit prime (223 intermediate primes).

Certified number3,454-digit prime
Certificatedownload
Certificate chainshow step 34 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007100334232 --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":1100000007100334232},"decimal":true,"detail":2}}'