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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 #1100000005725817796 2,162 digits created 2024-01-14

Value

41167582479523367271149176987299662608800300061706820483627218215925839094568051912753166451273243981143021230303747577248662554671572915531105921056673307669510341796476273966046941355256220663970848090214474025166241910621308956193482780713357333509181255236698512878914283946828720170781755206752132144395072405109485106605438341943079520129222077483256269346387586277616272573319422941818392526985214588509691349862797592435300609383697354406880476994154892803530368810795848045866318812591679987105188357104405482358265189915413745614802821121504292609002125337155628799584008553993916994313708719767305635216124278680274542513675910137328792948277811299972734703658289894122036133870260925837907736438187551455570873485758997798607973807073450564894814509533866668670472692949314610616945478437000256963705505471291574266187177050292811270863112349931832044964942471630603765713469105393385341537813812318900106775165905094161027681998982657795360303902887070013059725012982942124848613562999635753887363665657185251885944942988908227380685140290829579483477195394592434464684776778016440619268907106064447121479895943595471749766073423320821210686270105835358695536189681000071028052347267645216893827528866048156365594399398450183042630434772288626976199206473547953472544094618176212398306771329880099469608296624292207852609660566492028574134015515326650573825102452904211336858918074293963806035555108649365989272266229642071497970759326965470508485420349182400099502111089858420246471896448146009824426664217229075178049215817560247433740251121082136100568309154282242230589410702082076315914111747675856683399694531329055552645322276031135748987025442592436106450904905019078504851444029655471476900721800388323596040109471757172741415484196219883636955456955786119675082899080457364794585113869269058788947599328751859808355215976480168342219294167752142623634564004931777066758144385434659460188118535098624266283235166470690923262789716706940521470282738046863500920029603122918427096408016674638579232471012887637551781578752709050258901762412231331362704178935110135806120891876695641058835681318025809347909662399002112138280220609187245504689
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 2,465-digit prime (189 intermediate primes).

Certified number2,465-digit prime
Certificatedownload
Certificate chainshow step 30 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005725817796 --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":1100000005725817796},"decimal":true,"detail":2}}'