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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 #1100000006032721606 2,085 digits created 2024-03-03

Value

272312801177602863656361635683709670957944490529522218869579027610941998894783575263643017421000363571342420213162010665811477345958988230462982349286437400359213073899255052986948196024777066798833055318052093614592876719343718601923507790169139079350010123174825970679993087609749727851206962925386795528711603567045265398018577041564332684297098360332641330231629755735505404937526048124271835009813842191151172673306375861413084550167847358821678792736414871680459671108085759608001039381780474409985573594683568894136030797341672707293091968523229195986630385538112090553572879250843215194026384405816351046068722466459178659949495088560261121514298206328864997703444847610928100730947770692629384701036316254223262541007141522309676988689383032098408907585910107201441113503032951755980047021879298469298120782829541229791800183043589017241502410473763992575825202338957506605559987686748737771022605109047268677254920476915959244959648713204495229239548633029957457915241029906858180502922794132953244148026125138677431491854325064484471142870224268100889967469859622517033930571689505208469648963613598323990943936917878866212184037945471437789654397437570621863925463114686179005640495462586897743824545073206896798839847296759061855484670507239142586627041969715954343919966490608824779335705355310455214661004388099347379401499663593311384794963570738938264933565488753294295902797676171466493292847340416328403850091899118041455353746438112378290173169678974483241400198188599781946835391451890949894602853724803629297696989438033650407116430435360747847467563445292680799101394926383203901932819857108097350029406016311764553291681192016783031546318919866198387428454634565917866076493652774276806719303179655522322222997857197042612212949192729801306976761356739616368387643122906377442359450457451600837269675939910041092728777973490989999920189302503699438244419130181112780297079698426914923914804026641363430851113535918825812021092254732774628304660850238592297366018616154970821166348320182072914493060170223413780440011998515216923170065976278489869197076259357391
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 74 of the certificate chain of a 3,048-digit prime (224 intermediate primes).

Certified number3,048-digit prime
Certificatedownload
Certificate chainshow step 74 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006032721606 --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":1100000006032721606},"decimal":true,"detail":2}}'