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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 #1100000004827978609 3,882 digits created 2023-10-24

Value

805737831481821187253446612187928250360897040795128548655938020514877083948716443084230982755023098955405495948658105776326235252859647119411951778859027457171292603509625976083241616106671290542034976002736962200040507617396218975651522352052535930874928105199225919815567377929084418173463154968565843600212496485873868624698067468899122310290294712303293502915694604327726333215457212091734984542715827473201809778423689389744642984259211748999407201827468202410617830349996286433662573389708206561271982227762613479844677020226355024364868907823694129990142045300195481167932028293865172319814613224501145974000953371210064341644045327632314844700396879621470851964192364321558539820963418143760836068110137326834594601040812946618493250156150999179086781562531260776078944222113468996393874010107369598148266106935493358870022047456550485413354658249791496437823476735575964342758481828588871236034647445720866015169831274993459834971360149841495662649947118015467575323464702650262109017320140423876575587505323760372821319377388016121653027440999560468548963795174722958770519293810834372394760809701561388833114948757250072376896914842870538246357610960744561345083948049843942709780826007304505097983787831287617181330217024505994706294257372827843487326653198889932998422534548160423626205102057322577021080692745311614100815728855733853713710036957197123653758480397247039926519356208867329987660692923356991256569131516885765217330836861380270947585059823605569781387954351330301654432198285489413821870630327693188841573405405718428011548200963405133443988232774685257652049221148726889078880679743550286640545878432849603859054857133224415307282455960766130878560017643519939016303518562178265747486209415440637338212644489766931270928348389248855531927584974927378598930039490471597158651386126702028115836216196826743578420010437087055952656584742547761108205300610723265238249127717616650370984524070500200258172316076434780431283096370600119761376324516345192438479548667776366332461162468574447625956223944347592309524275648201134205785278691259789316614469659958472518290027893584452377902033682129169605059962598219394445252607308398454626224368362998771961701907713383895739003034290176076057101734184855558568268790735560312643692993015598474255594869365139899786276559896342574814196118851786281013291615218384148493996530056171919008992402309594940329283889908122726731630053921395212105951734976575871817822532996860918151608794265305133725728150920441792623049005440867889333388834255395295268127556176643317680694775849324807699326441136742379317126633288898032233204292190193894002063777461790100748673944196725065392465835959989930621885822456708954967893732233489869156009213884862698116741928628261214185705600431959301311509152795009373604962776244132818071333188195058145062544740657620685479391887692904771389601601104502164796798089427900193623513529821430693534811415229701713454328486885625743657385368139560487228530739858729877651611303453775878605750576953488101439159582686046340101142435536867943579989786001452724429910176958853833327743788510106975320939496003884112622828357480467662879689912528556368496948311048745880061860536692030716075753876042285707744479313699612639069707581324808008541493211136352251055124398760684892282783487570281908365936212614699966292439924087173977507056759672332045016711458541438575426071086806333551282792825774388300120595859997000955779775332222103201389696375075332380935963469385948415517244737882931372153137036418415260059911552454977765293671739608979469628906041288403412713395456458432414875954517461257524671717862087903155425208021181563070013431325772615356737427878081854257905400210220617016387686325052177830962395399921014835798101532694883645071306256589377977481090518522387855976679460409183088861724771673562903733822237043006803053566180702271629956334844791610246655399518180977
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 4,140-digit prime (438 intermediate primes).

Certified number4,140-digit prime
Certificatedownload
Certificate chainshow step 28 of 438

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004827978609 --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":1100000004827978609},"decimal":true,"detail":2}}'