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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 #1100000009030655561 1,977 digits created 2026-08-01

Value

157231652143368977663803261379138483280506209737550329481017689055719402330292060356478752026070928477383690850212215040385510480254950913701030134588269961174389304929935805717383286279155531289122802978852400443197219023921282958649465858045330158597074283204478612827876874697713946131635421692531059252133799978644671465963105047653851253943625297481346064368767300775071283864799185618484411255990633537186604908008214207633967918975152356044061327015430161511683444467469778593799713034064563748868352724458597484064257816216786392964531133287304682644990166761836356806535712021448745811408341053125635258530020365824647464379720865813978301785717604639471581376767115498002087737136894022659516411365528130613849574830007161647408643335705356837528816129787171817919272373358692761908013934261863081125929760064200436300672869840286271358987980486820164607189909906459738311117551088341717895076119180403797781117925446447453619212198306049750402721981617348147713408601066072205532668982864483357970171808153991024317850005791146006991667045798167464634301404595073770915555295005443451070495437906547833626571627045091504389366439339278838504033997158528782480181912466058528217418289056661352508052766951985480322467295220473079537185640179577152973068957510671107381284609171459089678650941070283517973344636000151261185810361041935930488622371537607452326217041242336952076500445138129331571898724609736273199648781994982117758162092612454166633681487867489972160545224434758123120681640970055083867183950101883324711742216701019963055465727583712706321252150940823335279275642442642533982701532045032581497215745040870506113950880481673579460426111119633628345642919403959534400657972009435658535544300316970434331585132879170679735026100746078462387540056566012354682418012970522206318217441916565589856065435633168304416978424419045035121550097299284763409954618887917834297767747387142943957493512441573846758435441367148185850094842112288434889511482607104357
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 64 of the certificate chain of a 2,776-digit prime (208 intermediate primes).

Certified number2,776-digit prime
Certificatedownload
Certificate chainshow step 64 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009030655561 --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":1100000009030655561},"decimal":true,"detail":2}}'