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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 #1100000007106566974 2,885 digits created 2024-05-24

Value

37572452574889012333756384181873878486818281757298615911918527266728824797534526631333412888285499918512979231036552996444239030965519202242560966589266478564068975790423721319852931269471435589889063722648838676131707636808456095724246975903494131374533562684057207043626808525695319173529469580366552752231805276034972520463291865931198504995638847479151510829582528470597432444388896343427143454456651620806826880600220049903946046238736530330611459347492565711401383358034133686900531989567773862418781582867408389707158232063996222831874051148752141937036697167127860275051640369530215911752493802094263687971047479986187134546346187753491883437686360415792618698141738615889184905684697001206240145391505333282805065252008451101422173864189281590020606632873476058021578588108869854423960229408001545143522807025288719160453639745032396092047080462670019369092966757099556618864159058686406335402634632383653664681026092124793508151360551271909489632177782072193447587209645608489084622409158651896699665384807450429541960118069711501748977929568825375890124569117331649452095855635877443936032936822660219253172654348717354775340014050213791109302204165081713637486715643771958638023075112533408688583088077666959862228702975880490011400221271202738507791593216811205661212168271789828462052452746723234822491713636988995486518647199943728500943284240570137546974361810322843316044610518216593667828129176273341648974005646794399817780347818179592836762720473348296274015979790492007796838144576875023383939576773016969759874820646856780866717827679090431895465985010493023213509606819155032065603456178512003355386763620418678611346479503482235325211983212427177495334753948504854839520965339051747669627327012623334944881072788645891165347682361511654377263668835510771739689054615740021913306758427409375730148158755308592330021702892518241294278129742309727013446594386702768795002452276556857263203413839520044665714360447117690969503509303568019197146809198147847141772319000882503156332328772657246853677756364201107602977825431438594990217910840419764183211936383216906167347471026648945589994435748878783407681592782696966023521212298246865149564195709848020358604747636769774122443118012024872004582312541328699406810479823178540988513185972779781027243169958845974331779427884057283794998473128005513512328863339227248649112638125468708983923924458116412579334045209848687811034324829328577272269322755725759303688894535893136493119229131969979912884330481958328656183553434409551487120969332914155661579682235556406334949378590103541932712416763567174173755637301673621076509412373025753251197357048109839347406784806679874315347649692359284863180960876178336152526778058601455159290942159567031140259631456005739515125485722504586007190397314186613446032929469730749394174414205093674588561519354668586528590683659485588603709827909015312759729835853878165962418129
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 3,646-digit prime (238 intermediate primes).

Certified number3,646-digit prime
Certificatedownload
Certificate chainshow step 56 of 238

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106566974 --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":1100000007106566974},"decimal":true,"detail":2}}'