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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 #1100000009127304911 1,781 digits created 2026-09-01

Value

27772415173707562768591768589878108979988800387110633808590910845241060537238639631395734808646742059421736668411074782624120417775775575948402437715141138973302937256423049891360181438069732409885575715847780742617345699907576694931485863565757401236728550602614198774122690097672297334241552073081204365444670129690394041292281040650903091739829236935722604486945759336316298936663204704434307890519538905271555641684764277022186230225765747280516396091466903920060893816880243521591095485517317368198052423372626167566849472358191019378269434281662742951653741584024986672095562009914763235538970072717773787638436803938507815909248932459975559159895190365208701822915710195348139196693613158027828459454793321029090967015585856451555248304264966860393621531548113847808693089059499038121229769498263968242677422119191733376139750249636422178918204574156947524236805592855460807372435758478687064675245525536471518118254034028110156525880038837808805448354122992931925372882098998375962519440336830379366881842717012921606288060319039886677749597011829676100234111125461399529490544251846155471102048384875473975808985504560965548417852222297303022537060831864936497350324339134469441291123133936553790863420677302297222053266969588699543267428939842366395124968925692028909658051557095921358909147764030364198959544838022510365307006500491093834014816994911942040608929469157457213892405664001122009192458436464420623477799799613520884437615264167012338449406606393084996237260502153642793687481624239031629377762505166423264647674876353013575963795642445367994202347462444109858228552059270376408293908802538608891796181859271526521627371049059529258445429419704849817999143558846762005740068199451725172516314092630298746497653383117898961664096201452908373267447960007631737
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 129 of the certificate chain of a 3,105-digit prime (328 intermediate primes).

Certified number3,105-digit prime
Certificatedownload
Certificate chainshow step 129 of 328

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009127304911 --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":1100000009127304911},"decimal":true,"detail":2}}'