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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 #1100000009075739872 1,994 digits created 2026-08-11

Value

51585537742730598360191127257893175450138177795114561290350236287899868397753665224778015898484727115476362435022205728670726283557895759313252310657385597632061967525540384969155981940932920381464779785698193734913953388393307421749551458378015055101553076863871154684983263615855167424362881474304063099941579035796899355641883784259709297729536514149908228172073779871833025639671620451448790238603325187504298972940286852803890985132692018052288020978752401631355615489673042258527985700431141032028807310415565369473527025262444163440575041827464043577192554580140978234306340224061656298305609075540190976535566470464408216818328420530195230142473891429461559968775584746638648562630846609073913331456176007122243353801264456319783403697472285147161149750789774688012827417948759629442434735713574673428898471108515283017593859584409007808268408090857227354848233030152409516676727984943135660301922840093090991802309471103729670430749253773656247223866188071608781981604638193209739946395772315005477283176003616590420974285824052141239415868181242470704202448714846170331461396198159856971268187972257169593911224896323077725706377716149873570267336482344484109158674342011929646459977338628856763253712068630778172786117714673434278982469367026026329702100685248770916290596353560943796594579270593379471105905416038199274651539734589964717866932115459588481572961248121434468210027318119461904815733860464292244241113696977126672990588863005047313249033957771391098132911935509014786544667335475606003807258521026362213990824522668176533440334325472722400635245892695006871826293357821934708492515142306289348855854374071712894332913681936402485559214895051565143592223610866907707236226080041470362043669638742651267500074068379438442987989177800482304482285277791338642844799281045919858617816671079730409339439565146368269868326365526316183701732197739307731734581360658432073943307329572841175391362605424104725141618148023757205017884346595159596991946606783374179373787145204007
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 2,131-digit prime (159 intermediate primes).

Certified number2,131-digit prime
Certificatedownload
Certificate chainshow step 12 of 159

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075739872 --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":1100000009075739872},"decimal":true,"detail":2}}'