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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 #1100000004813478733 5,339 digits created 2023-10-24

Value

39271714523816927007192478474945478451292526844943169184587560718187007886058504322997960810641158968749785795061979977744446322321172877983240629288892970354126462738027582170035480882293144576071681966683295858241292247065182550420127242552674300962787034369553536296145939441216317217692843468497850253925279607707172059974048536487211234830940885466191209993880267128554036822762362091599961547666423146809896830749867493717417745371737982725151146273604922487797998728658597964765181990161330632486615779582626907256441976892168124288642115180054935028803362485367793408470411686056873048952995040127540013727376230729857185966013646671786629605318549976638695596867967583030177823865620032107531671261148919244901130709246258710465536636142798062559687270415130416056090947225912229731575006921545632883880548773664646818032348006340590441408120612159292909661638204369542394571751575293889254865569771114339888664006081185222432271134899582898742678648703990507648326244976151462984575465786765720712699573843937506813689758584659906706514670763610820861173903914450490414055472486437068621580847694893793415297692031041211298699974364145505533577624514240151836684796806616989959297720249402052619325646327978507569648168299783032473968832780894761987375819459855999409275684958406830490438349902434059078354588745988986117490832072244668769931629966657916575854204322064258009562298467744222304300389631733474013086278752378024369473011619147910251963622790390023745048465891133838387124628478167935678675887107688475804463575886867603944557947031033571550386340742750563698709383579052674679801001483288258138368911553583038115850917466997133436461553368230782787408427824686026354114620571089465017790860577734226822093647922359713986481591156019509409920435793829537868708780277562634362253263970165974125192328290736947342508420672115295296038003418529848037239687781845366240981309489697744635742446021772989308331572010919989007596635255931738589945339697421915902997544776088004332104715139776989826566790075928366960640964815972046828358820526557602159824222054234491571366404538692210888634364571402343858606676878692735136128415803455846993869280322486410277209919958379952358465121776213094389884589457944150490462054693205459997493219200812748859708453690731456314997500803495318595588223219429813810208710340257929610547637156694847126908939658944007028388982323012565267033895925860302932335457874209646202579883786612668382014738711619952567237793083977727888904638765254642764220283113204108039997893054647086974687225476194453225740723423302682384432311839255096874774037130207457665294223586538739599223559143297530777009491581909984619084204028809293476377057599001057805563458768327354003794270040481590547497811633200307826937767027077570713106194889283287176638186407569043656403189945222986237910557923934513464334960570153892298839626540039894512883031203130210492574177815760681845434109294588466270345563243007633807736009082155176070922358061606651737740638527373004066328720979903810822664864269861339212251834998881916590545553401369277523812570234928811726987237953089772259008142411786696498030249119331546183221342202670955142582413774589903624817521474615429152577697719710115197147216522364477042071751830939540680566011788758056334884121421489752515761877799090928694179777738914054620459510790783622095294078044124978159986106927226772985566855256948305428716566073728212391595307486813724585862923823723520102742886933447769646842872148834805196748290954979514886698368198390360714252874548792815484212538530201417445169412972178992909491810788735191337771924910566677323236152583630207255739044428592603852553153180923777518095177623947464858662570393529640691521181757812355252758509327581885925380851398027084490223986752554377961161957116083092871747035357333254813911604799611888473194714296899052137649515750254476900004438867772866277095508474226441750948878258052423168384355311925180451082570281020957719497153280773183562255254192796699595871341029852437416176386598547516168156379786252584021356693912938823859554388381466930480533696961700027867393759567371994501268098351370982212727570289078531255851820675757592885897362438049777965985065298203242957683195363161836034614635621434741379846534306795763197700476685346812307611794442040200837998106866804458398189896619154638710466384099341165143210480187997760927941272668173073693970902844795920711343352571185480390037004172629118107232346191319680851894802387710965924132622398047618533847080577343903654848008151032889343168390350998929272871013990023452407414212929329494282450726418938525218102688569467992364306317902834112839807280692444503296981998817772084488522656831195154853602864591547345083359866653919760406113101757533714595080927584311983788142903807410488832824943428485286157165006051908640471205256498036635969582721722608829071288897211966248230121167245337557469786158665058655286600370610515593481714152423825099390980873453943217272370653789620928234823298390217603384233044509488295205985180267422382431199588113869025164117790388211237675625933040102906031154628036218123591484288796117767124193290893549830104592556663315764282985565345845925243338776076899736220737732971956524453973211454947424221937515375795833188518509653765312655183885708173466005857386045452721588521385507006820469967323570307
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 85 of the certificate chain of a 6,322-digit prime (637 intermediate primes).

Certified number6,322-digit prime
Certificatedownload
Certificate chainshow step 85 of 637

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813478733 --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":1100000004813478733},"decimal":true,"detail":2}}'