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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 #1100000005725820766 2,085 digits created 2024-01-14

Value

624574665369707857162058817336340973650902976725891886964120409481335897093451540155661129731374215030703851132583900312762752625264027028883677447749236146489428246285159773231720224066501754848107918192646979453672039535832921458372344595417202411498961167926434087308368612927050243157769129502958992887315720802897805766821913648351726050780078421579511131671005287520397412195412102074025725478250581854896351981164435735575143593151056190721966870464927409226899913053965569565849425166808812218082131023864659501774100934906583602801593388647946909553825264576380559207466562170727746080329522768202198487737171055557233568423538117163474414846025399426436576198199898325842900949730396284242735966179298179313967838110323769715524836885727247253623421103312807781275385097760088482556644284786116991770960465948192684839026408635493006062431963837764913212168358413571944590085392052130185729778944849892485633431813756211951577483488449655864649044472395094069674375869400025249513818657961157184621231318765534505296158977691792939097157008779366574113668569596034131029505693881450630407285780880734109852392930495271254326710129192591278525875802711586875825284774885397801093759643189129355700497952691929656255532784248651696395749665906051163525750147761623116887788444348519663047127028194292579227790420992468498672679559413120605547882015821425402026713058005667197144171951961433297579369949989761735954415478859226215673489982450534443435481144868950260700412479618484937477539108443128668825561121977814346039191719043057637080054202148343393972265913296249385204187895356652026845159228635936873493722113585095308763586913714645341937419780992263749307124065691407337511962673331785504896786989868103047443626060079511416294351078642629242485589042166083425250816573553150879017110351059364516951235815840601028091410584121412335548186077826483062759598618825447754491852370734227361878613504735296228313638724897507187704581039783739488228143467756190738601503623064512753313828467549623170443293852852606129815217122182872059010541009946512527478024633785831181
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 2,491-digit prime (188 intermediate primes).

Certified number2,491-digit prime
Certificatedownload
Certificate chainshow step 34 of 188

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005725820766 --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":1100000005725820766},"decimal":true,"detail":2}}'