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 #1100000004825889107 3,789 digits created 2023-10-24

Value

302592588821154983739314482587577106529415469105414116445041999100599714211048656299408303087592433966944600701522114174317590187738011118071320164083829436782024051624412702793457320340020362302283305326498835012910531396118098737098625534688242066945166176767342596162172132055736458983877346951081283150873875816111468064891996612915536180888691764255318329903244942049437669275750453115781101500410130826296836903851491462072343049617930559506520197835428441369719878832852132743400796338073727786492862293488741487836133518255857685558494283083207424991463434501038249112393848638349774146739138564003200207218853198810842810661702428526900019801275864075151108629433864859825628898986308075086493736701383266084396481222691293737799432718970558904247445268372585138109988505421221660263832309667374101771214508962625519485037809927499845103731232278028130983962247051966335117184441347589287119158460547048813338699996534505618814503126171417285197974216391631928230205045517885749668795570792658822359103308902170460229755571245078549563353055640024083676685221420172674677254303702695908929208209787558537237415628224190041019335197520515231653866519560331121440519851088173819364324419304241785471218587670429235822068208542772194383520539007006421948421396443191388446319130792305073659581856761170255934193390069081116786587749345891529970660265204011465116261985812276682443083498888143920185323572681240566213882206327915596875298781690293898578055455841641775645884627710347474439903637109818733707040682749643408321624375089150797762505925183153284754440269105994021013640376588789327080259832073831570286223131489862318821021474836131586321372408556686140243296561819011128676561992802532006675198371576144195126869745414988345328681350378500662846564676976438772866226675822161100729812381145959313056813943219913359942040648065214950413636152399889680078684344160083102818673775113455986342219728866138461218279311220892597082898219952222629491432647388781438504184087519312899350251758230479539057572506255742551336580008865724489635839489541738586942790307272572047251625569989081800917145064213987314770750050713250863280360533879710331572069143785738526694432954063861672636407858882924356443047127811335093472903632790108426500643441532626030694160289602704501249601440833367310338100024962316758866630466057229998592986886131095853021749437813244516261942405573921777971466407984381126182386291430559520261423829000866750537886170642295799197536747692874959332924302789839795523600663385684097417145243952107794289181120182227243953868039982910249731026826172109368470254252632732709845477650973704794858507678350648657991369208421922408387924415552569037754869962346159797458824385688973078439982137321550531783854579571487068221074944376174766675266246201841342136045669603913328162257468185956616353152400790763655362252267839732141903567442736267539273672788089108995186610054234224527073576258250468461678514829198189794713691442948912567146875655876869269293695733131458091945097520158658865602198314232122783518054380007911386335577882788172954167686205926053845658947033986992971544945896191826953400024068589339778398079522046459064502864714619435872007191350928363850484533881529177636228294464768968599525982336841155175887165990096551987753160912518612114102359733330300210662949830762313180754136208593614663468723816708285354195662815045943430571897769236754800255958050534265975448353206087479213384095145824413753059429769941704097491722602002028095542157697710213438011676759204074562015185205250229394353209278208982035859073855359966710946935082237532030387158343794243649086097976048835280754114777290043339177311866618609779672511515949124923956590589482226438466310753924878031242839176005522790429715586303416271082256677206500625208173936629
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 4,289-digit prime (441 intermediate primes).

Certified number4,289-digit prime
Certificatedownload
Certificate chainshow step 49 of 441

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825889107 --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":1100000004825889107},"decimal":true,"detail":2}}'