factordbrpc · fdb
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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 #1100000005562406320 2,466 digits created 2023-12-08

Value

207762064687353714796295818055181613844312454116291715364869984899228561443951699931298192915209793123910590957019868166444999853319755036513698094633397157225856685717445433054516451325426125428955987128209021397918422798750319005136364856075989083420215779172239248670250815011909943934171463306602722928451706921664127138815571191783557824344568448796371410280991060992288796228483639567024760291712180792532027321276870897053856547304869963459822732297884502407639623678765564875301719852116141598751284828774578318374956872609986467345763114807262731628607409848857692812378802073447875717332451202474090083014619219218035856261537231714200429743172119726033310532059060428108790496277393975250545068146614388929413658082434088452839345166885110920414930111816544149865556601341462622761378055429682208865915151786850902992871585572748172873270339045021179302413704230302461256351332190208964307172152665964681857853613810665634156426433852678699678678744063789215274019015593840486308474979596620935788382271881902004227142387331334774464306451429467310579882377123418360536556469862711914927092780254003890153293194702222322914905984247773330648623067196816669959383614723605344819659043965019660382112593571173972302717839114976282909705657217612993872904941677524934722612863226477961617439212416496212889229013207311716965683715562688700387877429750072459897630667618617628989537106659297295393072873947558460644212705038345041604076066782623079828505572850035558959520418141937819536634779743592260461547330475544976371316382915404496713112251823411916290062588482583713740825595536280636214951118188209416688005202088314859237800003422743346268380142789550194243802600101865729001952591157640795006055897934911496777998915735447257279356429033262089527304166799804833382461396863573575905394205889182951488278094227259659773074469666367793740937064170829626192087963429807609512654913953303528566632905821723898520310728787079322573853473574314798001378795091509309646020157719349394216748626106470071304145943269173726859212720981522980749939558352566145525466266778189545388060225173249234331068351121830019425201978278233607443406828024505520166887734801780911907167263624715175687721551286820583507501363091579859715042780076264975103263462418593890823135959045870224582025892899948508794956071586190039363480642207858956840926556468837265551709745403699045943019711859006581052907245625713392752343325179023288599918706541167574807254867492603287249
term (2^10199+1)*(2^47+1)*92341796907/(2^1457+1)/(2^329+1)/(2^217+1)/1091657309377308416430251579
Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (2,466 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byAlex Kruppa

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005562406320 --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":1100000005562406320},"decimal":true,"detail":2}}'