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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 #1100000007218369873 3,588 digits created 2024-07-04

Value

741013205944763808362541129646601666167000625676755825464234081702182992423841734588824267752579323353844691160814508295997658057252929899601110004829393017549539459412357315630611106504715931341230126116976589478597846950180846014666621190946562458630720192973424601341039955328835067560238726763295503914842182359423051758907722111272019744327545450913863029784070252535756294582046975488209047109574209391849383179092097353759604120128527902799906706339304700493193166985030588929634471278086570679495541767760405831653731467322626029229933984566794054286881117333840132870366072220492102353364116134397929227752853067894323814139445563706535926781117530756600623521243674304813593746090361882983552683119208339979583034993549041394731199336796709211880474909715580127785313811941890469651957918078835221260624455100085703437693596179972050294971867027137871372620920712702611099065483844289195459397490677161755922579569485446853417554573559573322358298615332148457685056733920807343644676981210014725682387209876176076423487416063393309205297164263599680130976205171757482889155752114263933165782954541204841434990263961157280883593057652043398108810312001101876553618033794216886737024036187663371059429419968313006989251921699038955955363934158278018561443792164887417299834712145193412494686922253545676529428332768260184737596439350377802957720450012921754883465403104222211112773317988164926125857113849864228681842931146072417876350296030298076054976834803688500587665387927537742858851387202383689440829776357120857084581115318551277632893749216759280597391378613278920702810683311891017571109614380646553801090708872536103803845544321702908073231090357056446030670890124030943190795706692749739363570576806365040944903044520357699675436948106369682555028748594726196444239878485910054567367873598625930340608919323762779960213321747231352472666965958344058271494751398270076743095537990366649871026604158958857615249825596308581436747235881709001717897558316178422167716926052593999070745153449439212622414529937944313235921788022683808993898145643470456077807407494440472613991987797660727617312308143655506698476281510802506584456367618247714142654487503396894715157718429408341669603162076638523861952194440134921584293276187285415671276546097254088493136210192358194737550022491610928516701826415239717157551061167768693484767072754382713079888313796267440000249042627327943228575492465171143641171953159874781341852305467226476831133859310960426465359068639391463433587251901837917407921161505561418530792463376744585015006531750773515140694158704843244661345087739121590523460258060755810231403135712378723485603726528889711327885741179242593929113480363444966335659008770107708768418319730118453621488225293327933970362839453947229044983426670935443974637810723425078421198334511871966288232400528460963185082102010088773733818263102290164643024156135582538553876841703109573303310169668018374115421680405403060543046973209559532648654585885989100581429245013091993342947840140221650752195133338756274313133422257014171307482916534268835455744098996776045262593478069434864109451682990395804451936066054449772709031067860627872583886501955378969570784870750083352821960126859771775083546121994006407149116909973512532072353032077417124402708796890122206060099589764793950478317544430384715119560871607016028640297285571333858359589331004973750510756906833307523454167375103612502596802156088207129125720997710712081917998224224898803784316714964265057548192603856424429498261033942609906449655960437720294305635022073248238663665292165994993512650152039753377127877217
term (2^13208+1)*257/(2^1016+1)/245863897403544812236353428639985992752024513837496993/(2^104+1)
Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (3,588 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byAlex Kruppa

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007218369873 --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":1100000007218369873},"decimal":true,"detail":2}}'