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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 #1100000004851077120 2,522 digits created 2023-10-24

Value

25186899839581190366041715660365082648112734881647258523798602399027032274260233938561857151835151267707756958547592781582086973637981680664900019570532887814047740968256569723566460205038089860289629188104817192143949943523641628685448579588006586435817332336867498662577251504602466174306829001591454178187610607010613580588602135475043574289830780994919940338099471960374211817149958105872267784263477265875806749482695193977224018173298685326848706349469097850972445606788657807286042019902126492950911352612411011516956394639461967258665842247527904802468866534531874146366039066980514870201457660313155489664673076853969310087365566103611238666305487712683709955979109679746456897925570501210706432320192599672019600539151146610946496708519976360289826091382748648703187594078631369457435729922665620200504331540749351599077460539412399550142240744637987545647164660360327847599922376234503733215171896724885440707568160100380560372429310126805964454143555865860364521224083724026339625914379552620900229494550254138180443050219417400192617713700688179034083936835672587982417083697709054189227862158817445479013908269407104417400579360371577204219501178691899497086785025086917434264407923326724635676440722236009312753985259175230712096873432475727182859626647088605026899523077013144508739129245964411735980531159255953233239020978637643275483252811227793705604675118719907767452997639634190158226259721102100643542683882409001083092201716433529157001179301593903886871214798169211399399373442412898472515332211025992723059421614545425120620580931845474788421434741070252826411313566308204094533189754531930909860530055000066599337179512365613368958051670152206743772190129613666492328713662019166061384555533121279617285960194466438352505584297317538508914733271672339150454348222630517140367109548314267764401136052228211249785756956598922647612878256652773497828984082129789883194181632788556997447889444648244229082683012715427506940230131073501631374235839530611939820091977812497181025318489851790798918461807080424935876501007824817147959517306300346270568866637169068730923099796094323234912793050615829807682935096970908487090305891619757852992916600145210959670767543308500063821382977363804442200629552002114299151640361369909352748327266777470034494640963025544752131029248075601084047745129454544065671355151379397273186521895582690537262368041537117817411907005715263842318126673101950734203561136307836752012282671615378979788495299511855888887221282745170770919274830811436181786656346239708308191
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 72 of the certificate chain of a 3,208-digit prime (325 intermediate primes).

Certified number3,208-digit prime
Certificatedownload
Certificate chainshow step 72 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851077120 --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":1100000004851077120},"decimal":true,"detail":2}}'