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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 #1100000004825873239 4,273 digits created 2023-10-24

Value

2825203345736687115760525601896157514108492788774630473042227917310233613044265406078354781190995897476518896046747428643857796272669496109666837354264800646100122004130459469212214208989149421286261272469945461645712833048062609346495634646636341676918212433819315612480986225822010390065803712111782626817044810583161933711491211746109084538610822379671479154387853208200144943518791421481885767984537864998969156313337506815045643248981825582392978546186806712002822459335715706064667464094133281017475136350242460172940184043159637447862923925014155975994498967267585387634077061611411298907870276714022532885756813478178955298296430948397698615323434588268400871802679724282068073613021695991985983933339682462023923747510746210823172726803933186955195474553284715036965451421754301478957681950561819169109776240646150536202137398647008212920110055257316200756727581706537526319615119958073912862183381838726165859804795390809156182927192546394443775933536626290581389867801319529857408163066417569062872496803519955979098561824682278950019769959642507608918500015642190318226940811373213451539609055874584123483855953501570098735596119912597119704000273989700620168748459042690144402224865793610233358209303500633244384615763279499686316283782199937640882344824749567083696341369547105582660316447221970725902555659006590735154742640027229348010710684820829727089145723112970015078044774461501537481610480802652786713393241618076798199529179064632615194502066044466982105871212436718489197847895699503213017728898482155510085816181659508748620916779511802499932748702339697412915540211465273388480460615148535189821426327972991467021981408114128692878862357026179323997064637922331157845857687092402038231781335856852696550855121156655517496730909455304422829064764093874799609197162577986892941695533298093239704212501623723490373267350952553750128055217318760225637516565508645874382072179904730716169493869618445094515575050574636355400078924106142111915393163507088325516747199630174621767861270479411314283403754996144562295852202917600296501031404454335214624076505949141232415506583789274796023266415621709067266594282918019980506919447147657704086288791829674713221575479157005864880599735676119181349995866806074155386726744424825525717664165037523058498119967118733842524512314647579476663982549246538224374905875968536933455929402500784193871601824535361683364167581939602318197373988595500286952919900353933432190765158343615008209915465782042988984912364738858735070829033351483868413719693108165281071357631431007519621595259754722762774221480130132548405397910375543997996169640792403474214245087045385829152075550402150437637415766615521149073318761205899138796722236385974418821951922540084758357870258235918938188661595302333029028123627339354379754584724761687938726373599923892440926664060742979591549522409453573782007194711616444647875926424768657533599891355459475861124947680860109099018648581611518689959105700988708987847119852455772055416288282924513848901929825053687266367370959021589620203873923233374214925752216126639589508898375111025664255608455388454913368805453922075478399861928657383038097175185347868598677126848139735254500686435509693177244000899121152979870756607432341752667888615003182998589221828446256237873121892927833099817686609067106011278675288482664069678917514673012825260977010710324177732964813057780767710973838875638298891270518923726847291123818435622524808285616263708447100845604856929394643171339051367571227970720192566199739800570372091696163227250563611814917077034994033235540366495620361094871350000545971188243624124386110580173659728963280837553379559248890903227658027929625161378420607726120624052017475469403683020104184518098448501602987104744434788548342859717422786653941724513366108253467163050803564788007971763150211335122398351845032754203601732567349381527152954907513076634361877285177986616115876526189965678855539111936790017064890896759974885850801442699697077842298958540800949383365983940961118361962991183573967849353944887161039583504356772305808420971122253573873857158151734755409487999678406926910988337101338450326391824335335378941708645286184869089181898438867780808002978875524564516302700372542048809974030365416474163772849349324283673022202589242783815274317245782400961
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 4,303-digit prime (447 intermediate primes).

Certified number4,303-digit prime
Certificatedownload
Certificate chainshow step 3 of 447

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825873239 --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":1100000004825873239},"decimal":true,"detail":2}}'