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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 #1100000004835848047 2,280 digits created 2023-10-24

Value

213802877635123780723946551367910439811184395362452683581063828816238313972188794417607382262050054480085692190070141152321453605490739664463643045140404366675845632357609521966764714693231887092243488987391121057432151918030519305639590810805432853907058269462813209408523424573628186442965438442757804417241462767907067833313601864000160391132554960297171287378152609910797971769004257143853699531598192944670376696190984040655881421764562479354805561311791572514120921970040236589661396376788530001764873304177785133330942589843913227427709140545421584188977935780075676281531275388830777004511803382302648000015590678444946708132988726841323340887538422527271025197055700010951176314084017841951702563332688909220922425721441419586078535312043295317166501720314112535402255022367637346560858210956094078369607352512172885770823312215407098659537210895228919350452969840396871454448973977488893988710078985515610087389194523038577803078736095517400262089741334180932937812766277598426477129761451866109229245406594642392971647908297698636371494970197601477786079070533791262297251354492697853839205628650838819527648684297193622139049676132455001173267823061927247142608122284748369175024010882407354074959635175676447587501613389258808527021812441888387758910031985838832129273288615697536883112572479311971495189806415932627336237751726969980617968052739430951492306026775240530654974208884335147715359254223701752866417828258926051147646856131064153725770322904068149280896518327508941582515021273412614142489740944807298335602333801769744753922175446802008069221435302418583492655013728526615143949508259525476607193607004939903984842623237742200657401606722053059059170285509196917898177575594278276046903732644271074364428953805332292804249642933120648292549405719075318297592405581776462933910046951608700319278925184860375786274726814771521390617169993098954158007862102538927951486739352885141970763683184276074195597493732488376690247675519970878961317693566447108248080047821501931254469775906441085665661018546896300575673344934549488559464088113466467714125296540755942363224787620612527249366002387442049641560676408842459458679618837215589614135090382882624410257706116733209789837262035952541890273526617862614676280780657486052459290395456912013171052823574089
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 150 of the certificate chain of a 3,683-digit prime (410 intermediate primes).

Certified number3,683-digit prime
Certificatedownload
Certificate chainshow step 150 of 410

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004835848047 --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":1100000004835848047},"decimal":true,"detail":2}}'