factordbrpc · fdb
Sign in

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 #1100000007106566125 2,963 digits created 2024-05-24

Value

36252754635026277195155780386122037318450054921640385595210693753552488789577338053872199228507180775898475893804938921165061273028287297495245435990512979810559602681931582933452194932271942095840265204224078612755092021464921654203009569661027289464213416347523020858536689690774759612570490003261016169712388126427057877409988663939492444202125788730383863748170496306407592219903594327113351239869254814412140448749265092616024504349180629137398302399362878968506091024829344993904341419519263817378000794438682351224050029681083309116564915329693364930141405362756088367261282720498395537651598035196336629711945799212973534673041451009425088184455836353176026273823073304767874629829190808812085828984131745868489939466724546443717595496282055854384535603846625717065318219506225135049035578621232637610714494800260586444528267188172126489286291164376266733024986128654540485649847311595157327376278988493420597427528092516894401663385268664791066982155013354310631365131120575276326487811216811292688293418713129133493549993154096969097893204283558636847730948784240730812645558449881849085989513723016183682136707904267223137319837259856569921838625625562488605145084566706271680520767941838931847279892297600187122162576929981252646384962257215463899227750186110340131866150698625121320384618143937770166289022400034916167227432479037347273243742145250944606866334126334461715466343716200252913093254859228550004242528089108074572787084888427522395981576391772388724192054049418781593137329609428468340226434934182674395440489649898569187103756293895343321956100047720303617904658518338951165181865787237762230706790668550917907615037664291378240723075660857015040842950075342075900142761178156898546658176379117456976674995990192065251173450016104757924877431347915315912936741500319399012028506759100319030604502190961693594950148753191762176388126375718903627429215628505359468493363778635353549383383039545425971029242924175095753375271985150163403808282562914819904471488944914900706519050710172844572798074049425002450128560648379984530768931100766420432800220364004856921779744546404523448179392453590380460808144625541523809571689373468427474269224641549887727460349113240596001358204197229680924111315611140443692686020432277419783239697261766799796902076176750160759855856196714975580240638571731680693051296325226953321667328277902751756596101063093010858599653728699693665199210337650273628561364219834670204940671123069125408800440445454977015430598235993100991338202213904100476344023105748460703038503424499518729527766473641287433049441147542541035964899988440554333247434142772990371200035591780970766496520191283935183918322912033016448997399820195646724413912713076412218038313570311388297657301407531368051881122451561405810647802167000857651238433992458152840826557140390924440136930953434233590283912248417748574877401629973383655122527194984866287073459568312411795861768745175107651141171429697281356655936145948325216210957458357
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 3,492-digit prime (258 intermediate primes).

Certified number3,492-digit prime
Certificatedownload
Certificate chainshow step 41 of 258

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106566125 --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":1100000007106566125},"decimal":true,"detail":2}}'