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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 #1100000009088820818 1,791 digits created 2026-08-16

Value

417304476778165750371448210717175715315537059033476509246466719997564341937400574401075216461815745043379889417719096817385826582398414991615821677493853334292071083319810082653538273554881217493403832004840365688925600128656460833098102298671928403222760874801648801766502669552667846874866619010731067167957476191015433359863027177292721858550772597301712257177882494924571123066167431983151242719189958334131134498662078481713454801025043484724125713065055701960302848614692671927863324514053919031485835233476267680039973255625974315756678047300144830012925034380652086171198083359507919923791862418722027892877921643341320152524412018969443200781560797920645165479438711026419263103749138444133262406490123905280544432112388929932170453773235972993553439425254765349545227091473648954914377430062746641686182030528944866930396397207564311723575508453522907439960208917789363898094877451876821896911154299973150766475186360346834281235189421410720566080195548829658685953334603086146687522373972886803142949244798570865116952990445653812538025464529685315318830241790313696948035496488146166063229531465459388521051812728041017839236385912621638173672917279297314017809661679603026920469913853227916450807084781963023514320076668965605657995859941855741707841480842546317309202454807086406274784146236598714328853797092208481018409586971883472435495643092522529348223025750981666565559535108531455357844335522958646130079906431556083423218587475807737608362665204219696829695003543059000832040680435871039308711430476991037972675447013758945426378635822932736642959707996614952908663684803053291175705298222751245434843598859192005495177055284482887382462660963774286642098745170586783983809830963733518810203124547544202534415220859509227668790011776548607342812214181054527457841100763
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 1,976-digit prime (149 intermediate primes).

Certified number1,976-digit prime
Certificatedownload
Certificate chainshow step 17 of 149

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009088820818 --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":1100000009088820818},"decimal":true,"detail":2}}'