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 #1100000001157306053 4,005 digits created before Nov 2018

Value

694329676195945514555946660503799846954867369301537573398130792993765654117981237289931102754263893894691179584455873029285466602345548633681675154270873465208518599161766954256440267152841316097473493608156752361817623716366730586236568221915028345201611689605452893149980879375918879728689605348449842699799480494601364349681390190558181628727790933934972966415619253276990919550560720556261648712237346691801498235482790274647045481917944540376931602932717872030997186215944560126147705553092055127955566071860561770534320635691621920827264707979046442179890200355014043356141457829482090056003295805273694525488199945597497800291066205455655048154550647360969986474788211503299092743062037061583490023048091517171766734473404030291603240954321091818957251989074952977725930793018092380098770069241889744059292689081782120776411263688885475445218752924895095142325027662648988821559796619641278393476296854430477135547166415255373034613986156861524987724320790226481677219392594623754765651303483630778681684867248910548932058945233987295626649265636178257559146653316693317531528233450402521700101106403445165861382282798288912456629232712436973630261128077690010947152489224680279012741749943089420377769506639653787813593169627921118696464750005754920000973790179690427647110889329630341585353555103756658162620942710390749528277747667440926426628086035992747098472038096972730234393153366183524092029928257231356981243228748732391341147221809119482811449413597016297658945440119877412395840336917583715733164234076204674956753998439060209282411491286792846480779982848627289912798986384553666497551603933080341359437686433585660154370119550155852720573779053257551623476804815497829293472774328160437331345113508476180233688808283030689968111515239003530871135914370904568009860536483235912005637314316235349438618061144271510195754189667391651366793320140327614262306277296145843846328226437555451459101241178510709847967027303511152808855040490824417814226843664071918299270727475551381541930437036610046222184393760104721318741254282083886639967327758343414117289494945032835667413481332524295786571730965598618097701417927612333230866573353672878623851688288329720610002974070340347402222115830135934993441100065773973556934952328890622257177272857352119858482939765635859937108140075537979340227736353222052086203536658748050194394253404581027776127225904757046883528340318402281458009282901657755959741985668334336658350491121126550710897489198392938328748815708570429626440779415223156717803651349307735666431748916330820068592709862802976858301429735104942966834895511344543706206494264049048322150918395320123226175329542747249928894762953843300172382862050389719358799579839259458006644934991792522355978499973242472485035098972367096609332172536397291047856008138670398996216945331142833861781191729834085044976874941667379492862010588387763746999969078012132546470066794984702582510977415268656336482297517382947579515091494143353603701319739101228038103674256076762332304509924564560990980316672362960603753551225315653723643098542498727870892913740824989722047196114802654648472400671311735013855139612633394400376154218046210491753909473060198173656395133738578635627491669145060565521015911735391776781875785801571301108723637893907405367277000809821016810552310136641607436210744794524368154493514296162353101442721329628560420197401718602081270877515607024170062045522896886643858316047900790711460994122512136521215564494531528433821235241167715281701596373718000563574922650778919674866085795519601604199256857284297274566262727797477919796323965028415182362982013692508514647627884791043771718847016205875727308307651418013532033640499168041254395010755040998716381521800766032270754912468187026944521152438725772330650346879595698618874283939250735464703790332617609815562026937115358907356482409369326519018307331434534720663173489448510066800115686767964999867088873841282262313451175065537116357815322304334567013048334484821097179888158539654382595473058936330546901191199
term 23^2941-24
Permalink
Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (4,005 digits).

Also proven by an N+1 test (Morrison), |D| = 0.

Certificatedownload
Certificate chainshow steps
Uploaded byBen Chaffin

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000001157306053 --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":1100000001157306053},"decimal":true,"detail":2}}'