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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 #1100000009077022005 1,539 digits created 2026-08-11

Value

832122367899991679931202739027939083644701656843897223000502016243870163541974845541484426019328019788271935183426555061847482945776971506700793571339399716076569816984960286679544912811837307081407344751987742266079251474212005474745090906673806000979678413790224792323701999710717606418353251120865554896213957189550743657531105211373820676218470766758289610372738959466723063751696917116053208068046680621903262463179121048083115659994321539779604944825211209787086761855895499276137911217629342205663733097011245582017232816071915450462430982211247250483123179787420232622254950722664991737895721469952288147290682904418463757560197754900084818196883660451500475613564795732624939378172536782774185772180894534576808576043154185425392472988234705438018515120449615481428882118539538773216914213933019034585763575306965644854317629227584968731234520430314583007833413301564963541641626714648436204512213938005500073050069347960513085591338977341192375302218818396272107916013856475092911581189699606086354928875406272517869046342084173032123780461181236082562236613467042695291221668393717898287833127190278421798535879665686689314671945957398812302562254073393308935036106660882745021848504079225564482875708357761089422188500545870255711896197275238552762364366494723643006339909487615661912521717707248152489918564938072307255889055431508025146192719244156003977970105795124000271567608290354312834001896598467960606617289105473063979391651975000933190631273963312088628483820932102639739523716134696132396717416157069103638729745199
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 1,826-digit prime (147 intermediate primes).

Certified number1,826-digit prime
Certificatedownload
Certificate chainshow step 22 of 147

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009077022005 --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":1100000009077022005},"decimal":true,"detail":2}}'