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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 #1100000009079970147 1,826 digits created 2026-08-12

Value

22838143929295645887219480492381408217955778708875067038967726495896120719428105346577021515593855753703907042235271706962743728787510678418551048081954503422885285904433623840697637670056293494231002314339602674877051756851166578982329458761588599504266537857286447391860788135637173538349714597387904356833964357453563911913810324638217613999965959532351467296647174640686765903015311148486657391068515657902864138942490520113164447385565239350266676670491185158712804838322073052057944693806983726227686295048734034786084604311564715246367149813408966183510753795636458221377489704356432344528456070885855362971569245902405229249434890698257574316294024032432360157855649181740044687826375895254760703454078178191922798822599589483020002321123664112493455259752566509895142069650634965562031115560720360960303884593050044395251609454365198680321553273366499161530561352365581282367174493622469776566031308400520993906357716512898139375300990570794550032758475285425140732538859536163697323306596156471658200054815225186950691543277411869891003154932828443594848442443389202992774913359432422680479100971584041358923216518441158713338616106210457016176639582503378939637090747831866692806769987813921454897837827090506243564923268355314889354010624371575250795924199406113249693829046955676565895952012061884850000551291477002158521517067621476905210791166789932055125569571554381859498976716030218964038889963531755420807685414840216688948846290727661682555492418904523252708891761468322967472313106752070201944323349594654358431729539149185165128485693888935853418656927112182572154820220571542591651390137632105983142982481498699411768725761172326136039983401359285433272132680703918964444710276970462478990848472011555531800340290425162112302196589722697097560852321333262541834391945360053775121608171325526225393390503
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 2,167-digit prime (155 intermediate primes).

Certified number2,167-digit prime
Certificatedownload
Certificate chainshow step 30 of 155

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079970147 --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":1100000009079970147},"decimal":true,"detail":2}}'