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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 #1100000010589196781 2,343 digits created 2026-10-06

Value

152274015488810082090110576443762006950302380922636395858508354492964174195942447848134795303826269336070871232455250090492591059622109820400092830947116182740493038394486372213099141484882404081020436117754811472113976583082913400658459898984194365615763183185116375302233894258696362660047476836854203808594063819603445684791031662073137280914691699574569917146564276890221184088806187143202196751115596930218500458926087155620712244081268103204154901905292687675672091096108246026804562085298502920138837263811252119623501091639046984689515644769592327341849958069296229599876236599120954979528392194475334986872328642973721973806346169074345382813989617858574262058422751075030739989195906157310341382213488763211077273099476212507263378335783265350546714614146488378044214132787769012442826068734260791562836652853421065008276536747611843035759888053695096435596594000437602508480975042951620579546658733009709109561704582641595993701553224289537636302132066256576530600310743889115229270352572522617443241590696569835537830754350564724157327237600892185603752012777652247816121445053985297285014076374813563781882341221520950093267115234461783097654130113572061951025462566658264073475938520659703445370374111884206045574819065751535986686828344721541694662592932822026082972581256999554238944661106777557724614482523509583680344783127579456921758803135235888333193549361979131948386606217501009128608013437972025303906656059893288683601868598497227625491182091893798500179075655536641366189810881787673483828751097838181698050012123611926804928378255678995960187891500574571985978456105529232331114341905774623655573366432869405210675552101473003151357974690845107905621106485739999345465714609259933693160745547890458955810120442672254956342791844391463071110295839481106565619382921578127732208914673959366970154606376982195133148511183103976441537532513209159155922524846912503359860988012968009446335759322550813407449750731416347040295353266957495909110610604228028688878967239625034511219077579031503551714597370829545617602410541895416924704967113718790298709688258133677803983499576358807736566257152667823638648775321191190084494956437884401986591785314095322187390102096796886954224996101696702828982223086839963041126329558875714015627991112213267698582352040705048077367539260349335868593884885865389919043634867802754525173
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 3,195-digit prime (326 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 77 of 326

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010589196781 --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":1100000010589196781},"decimal":true,"detail":2}}'