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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 #1100000009053962041 1,607 digits created 2026-08-07

Value

40456210410359099122594701802627044508903291799735351655124532189578972314538042076364868096819100781339661355169546941465162281743705968994974519357827396154973344971308667911213469135821571746940759457684724361211957495602417195659970196645466654169533572392400495530315720052093154543063506534113588598349161287660725765502120113767522208390202236583467346305885853976440948434702657228040456085952891844201900894963046852508715632634277349490372093923352063906225707666595250876603243153208481332049057559267952398530671887518536398277148529729396693048590348449924012825988785287934415417278447385460606394046509822481215547959784331037762668399723761190318430075372775163487567655843021543143997541605860461536158027135071861274066356418765173736108687260787511705490405016556699166986861084610436982443931982566985011591124524516942804831641289129311673632073686606622686596166358742051311699571702335295392987216514498856960092375996405740724299507940974321159684912456716206010689252407462461597486820463331104229376457314054988015909324260939878305454849070603526535211603407328269524389679078998101037490668771396269404630960914279456657215782663489364617254426414461740679401252284947680292718757841028877182203702190058216465962709995947527558656662202110948434122927440929905435429823707547837382219073347670109611861487297874482481808313286347737850057151314201562833115510143649248295271058293594897547392070288424471758633757317360149562158299341828125660129870853757358044220775891245796554880534984724854907025070795082109671767910037966476203994862318848320526684294745552101808906474679
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 2,306-digit prime (174 intermediate primes).

Certified number2,306-digit prime
Certificatedownload
Certificate chainshow step 58 of 174

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053962041 --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":1100000009053962041},"decimal":true,"detail":2}}'