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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 #1100000009056331168 1,640 digits created 2026-08-08

Value

55967632198251119306542937976674767016774815973156010806101755686978563903356496979474799076969153115869425396169425225555642897096023951480902220914011738192101343137238193935408983964252133228708240225194893798584338308279371795956569051030411362942046260496220520221412636374150980064585499275267088602326561216244965195530957777207456781452332875995008518874608256527942514720770703075857683923771837249727991992391841055248084503046683613539249258527833219085177369416234363785013036872375584061919884978453629737715428077713028458895674606474389392978360817486310175964850415846831255620828669139491857470407248496386208293266676900670661790884865287026607691480941982256341273212676949447207317481005112195022389444124395811175832148279404235700502481100152164699346086570299447307893254965487309603487422218579279932212298089412015530329117648811322944229655994079513299993387875483484013870153897790125736893288445221005945060362380486139747302575749408902411945569954279831036371816894841551238434098055427074502497730680115241265669595904229530939974141854043509571858110537514277612277456598634580640215304876539883429359340260145958691662881995675906913738873620413797225582949494818097616871599960728974129014090782975246486856302829291545591323485472700668472095471854122142650707682713492748943385705891544890272279609700312934129431039292957889374062786536444382078666271540691820908970414852922436792772809774121391675272649344258463711668502402703810243108624515478154260406968447928952880774307136151189641699075801604505821198592963160541557682420324509430033467503065854415780329359291609176525298916164279163069665753
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 2 of the certificate chain of a 1,654-digit prime (132 intermediate primes).

Certified number1,654-digit prime
Certificatedownload
Certificate chainshow step 2 of 132

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009056331168 --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":1100000009056331168},"decimal":true,"detail":2}}'