factordbrpc · fdb
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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 #1100000008814509397 3,639 digits created 2026-05-19

Value

153949655025947841025867388977432366942338272238009751180357971899455127870189106495223065331737453180742660910439783038249150002169638767393435822428299716336683594647242048669654897258365230911841781801261737053908846540547961004365984437683299986698484094886579137225605086099610447964272449036382950343293739730346645734176919828098870281407309648711841462469946741126089625435796467733810002860631323387648729073998400537141863967612056338655087420217688315122338534572152786284325270833290844266523680959905675348545632740530312019715415261557878473932475702811645960548199117413159685787923927464989040319200182698603728320800669917333486946610257320108501743558304584373946837422018641939908371023688243885973929671453932164148197431032334521221308741731957376886676192875211329876152470960276451327871953966304727396325575532836229343785963565621742022718077425125718763379136681475175890755064536030620099176116500751269412627992179328018352412975804898424679545907538534386133326023953505873410343170921781498015696863148190861237856330247348580837223254740353578436938208499842708801962964826801042658327927189611392117199829533257849423509363209509438588482605077691451406268557259700873049354816745599732315770878248927998527481428791430647835062753952396732664050385264574218046296319287343314477178423380843385826597730554763019867556052598449268134173648136498939498782078164175652712230426131641627494344546409151727175007114060243371368383342273299324673608090033893611906193080858883703581391693735254620336655735459507089276745949368136116748872758582139302227074085820516297398616773820886824384257639161550829798328502511734753341860922703270747086538135569011289642680123811216651218736511137007229951475536468816163301061590244203683861727578572008908745854432284892240223887603554897118753614545724718577167243302610090396876362254336227114871496753773364769612438775777533143853926621716908551011041370057124012958311281043268189822604329807801904531020209871546256760068563628483525775173845954488631483775543052656016989738048570325964090158665486821120742095146840547854849508295269746948873158478343328134967324680048316676893503760752871035927006558427003729786043476128920359414660516802203751898026638835970564743275772687765535180560181968851021852338185079129020646999054652322167689717083939483458122647135200586565719968081523153712188944530731255233598266031172847947338582595779255172087292931507749010127779093045993819242948405089845082421098187181515267373791537624510308871568869200620788278507079481296870924118230000643548371486743344216247678738435278407830686037313784267329850004020826555639861425490665828002019985153316403214369189410350472558019369881889479599331125277180838690815915929255547541022153969847438913039372856297345619155898198352585469404138123481949139308787532899898009674873761778345017675089234152164978021502036043333118265568519693677102649498866175311373328598405703176499676611208380365984139785146742031845432407717899993533561033725699169753382011691134262364046043399054413258411688182893402129379980450857287913957036126939672630919399721065030367769184386454294216507150134033844748429986695213331158374980020324011101233458571287084162754411729951552316533728682856638138829408346870100621174856696297176291445179179823387042959804192283502623882790668228919694169556831975455721112293922963970256103844670096877906169660857244296234209576361261488549833153453263132993265734317303478044743439733927353388673321854682045671001168518060264213903709918046951268329936034589775917448247621388408106111746534679645125475116255484076994536465336615180884453270373
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 109 of the certificate chain of a 5,244-digit prime (331 intermediate primes).

Certified number5,244-digit prime
Certificatedownload
Certificate chainshow step 109 of 331

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008814509397 --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":1100000008814509397},"decimal":true,"detail":2}}'