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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 #1100000004890469401 1,923 digits created 2023-10-25

Value

331678782817597729392047557327110888141266814233362945812802734804659328080440061216664495127905688889897787418407601525380908880625681918843962320937931010318333113697185011485505162358245859072426877654091039547754548875898831516176373372609184276782080583023540234006440838780778457187395695845658611179246012697390165120836560532123918749574900390422200215816597637685236619125366486522511727329972316914513292422049068791025303882638792292727947795004875800234719340156739106969863234670901939078726586278324634778410096282082195389237835519172241831904574954755884391085026703564318495792575828913219864083167117497523938554639488238308909167582825479942284788421341575109043574969573633162248063602303150486491425938131591568992222991016889004636458749322429224830038007479743424511097040335976136360837617257850417557526981306148755819923543213672754879265322722834113004790735994824606667537461535163631090503702997376739752168487567451379490134088363176799053695484046837725445215849595657600749562403419613662131610857989578752711956844804118677312120528943763050183075723912365832107634750424514560511301935881982491922475894558866252133575754714965164963130942435432802587641852459876300787304867950161833975706824326085629334659560173899124320885827299361199967190354447388205962619090643057680563111882053016844529628591097809291628894835347317334015997863319332291494476017876842103370161590220272725797857181542311805896298402520453533257784244723165836758064917081076329960535886292216160559362636997556214946423882270816406004299233035427425701931146084229120064137511131319227100115679283700276755219939586653062460387740619926087475492719535129842112996950272018968052912928700978162291548171886698267644532255249484285520317171838870594883850113370742344970191300804116123503599517569303518819093115082937897548746792949558210898921290569835705547692951062941247414436701268439591986514854452955693043
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 2,240-digit prime (259 intermediate primes).

Certified number2,240-digit prime
Certificatedownload
Certificate chainshow step 37 of 259

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004890469401 --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":1100000004890469401},"decimal":true,"detail":2}}'