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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 #1100000008715664353 3,539 digits created 2026-03-30

Value

38312168073702850187402564447439566632337013898398503331747229131637173604684549830345372809845474669355680966465074417472676378649689860540718762461805168228179287771788212827810101432249344108313243169325230854549929139347366132244957486254251566754191228933426861125392406288518543462947171495680576630614654680060077390507425706970451728337167482974120430881511704709305377419232129138996478144561078595573906833496541789065229721632455680587704543464574255109780426556079731000723906482813070527571876373203681888110444522864328495439788896760212611530693283482380803000608276080452752579177447774828087639517903052110297429079426149488320186989885547024816677292923435913606042686853802782291393195583180181027880415434039773501840723444568200606224951971979170954129905440107538585907153380703115320685814592423769399927759607703151142812429692440538153818429858130890462459477425360364265244869871414295866614033751784139628903869429283720834044083807412645619709399474000739480898078466283766005525806287100111521837872654880666394208368712645576586423460618351383481735414027136521749008879735159895395399172503978448243833118907857324304910385681462566843457921729110009097254598654715668178950599061616519482002968118040958565243203859136887404985589677553561356368043017005541769531386656114833910005622347411508871538122804051125842233353217032881731014276068387959522394175534420163375411760700397452467688103112697181095439505627021963860482978908176762920648660460772679095383878305758367556786319372915262721282056700155097065312068062140984394964344440994587819924706167555834449602043336583619795724117600005928492680198970712398246809883305240423753567028014950616544282300442557637100753415235969685322394584518049814967157760365724490469785597166016897302211313107540274208051778545639109621657394849861597051335617482181794385463692496035288176587586788320423016338806009577571013531541022823647952687364478652318353156519897492753788073826922771064918151868552469442280354782781637101051126759501715387905690322646212478289322177782050531441405961651176377403601211511576471134424823546981278327698671325745683545551436872836400677319206820441498291029664430300938439317662046292886603303659924532719670023920141860318003322418407508449420917253627723690473051672066325509259773349039456690673792412433834746087714609209120241304610562897802413414529744238281272319461479420009911462573269436495280826341282286896079772356662246469965152652702003401077778524309458327180275376190843648115469916089011443147950096806313433923896927514919035605110194822978093412075658545352118005439077465624187971012461341851556696484060833463655826716074922807347924572281574463260815187991261157235908545461828016560707727847623850284566127542166021906717010376397099042910362610817112569850680564357967423857489081349511960053340355398902028712272788310800183314123326597044177624967563547998076957036659114643774869848935154816130599972048086952843363776126353717082040416885227494367068046518049939698992815550490534943215954305590946170818414331522539907488237280701669613875278763546323527853451639082688257610214877060287949250943970478389942962494077776964279149370011771367554431771910377893639989782537760814283871924763719568439565654199536417178897942472333080777775218193830825767063045516344453533251053403660454516029238506379623288435575487166285583460977329878180792745586134415162926540485733311591988737227837480712443183433820989960973127668292668711897539698876011778342110994363991418703566050273790444152977
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 3,858-digit prime (245 intermediate primes).

Certified number3,858-digit prime
Certificatedownload
Certificate chainshow step 23 of 245

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008715664353 --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":1100000008715664353},"decimal":true,"detail":2}}'