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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 #1100000007734453217 3,854 digits created 2024-12-27

Value

49866380365821226627653714707394520811952000959752365076932277123921348737152286223717789482773089716528415785743641989892453992168318198712456211789720631306724258815725808392610453299581172798916371326241824644534273333462867619351678629532903511121179162904728801572180989725806486951978363183299040581109753579246186096408700674920835000379422787649194656538864770668465985858214850576857374747987576259576893260013632304201682337099061336941821246870596834320044307670398371555586137254728545462601856905661078490107655477555824117429508216682543037842221862834184041997424588233007533860022401642019798061791139786542742555137938258243471700215177656053556725122390702238822109952129777037475272340280168022117945902414202765265474380985429157140891241911594662030154344167398037762111490070005745704428660050956734690651062936132734316308587110600747301165396290037160033797815241883424636952795642586213450259783519426303354863448483853874257916934433037060842729362221416816556837739369174514468043592501034577284486639600027820375563694709757756210422375009521307996275114711112470614347459626302743962343458535268636969641442191738910201572818516327305742496748816551037020932920570374497443761867622778891556280577227535199629694837232139066680677065668569165064619713800900608377930523670343079478342139106787400994541514702109540054327459933214933505802743320775927260945714394398193695304975011762623616300150557803852190050223984108718209591142223177526312573079115845966394861589911319937578263083005214635648224862210545046142472990237407492031325935089121921356564608855453565581575168889760676851426467504559764688853448234979932329056846663356156650645511639680734365911424637780929616699655661794926165445282337927155554050800250691744645201399050721377825758963463736755095935739940642967609021430020950842600384754061318897907735944231197001459239688099700205294346850592596387478215829786548469556854212469089529196205478109277782130835250285628441203189657679074599040883950109435260135115217286364559694900827851729010988548820881807325872243950392899568340144438575385282158616818341855150731051796861350804274744331306058434927568166726543163951632329667310463548245751442350773888188168019282461497565293499715870603227694565415659281076213161718680846840470566908163902514711074172599704219455689431316799559505753920028328647356992525209095029228219903906954898342553376276052835357826771668113248947818880807752851327894559807642960490015771559037684175951190287894698946286405416065456377228557840818370591613490693144682190879996248856667962238098189718562501549310218597231475972447611735157628921662492800176600916079094673474457948455207254138061592980752331335788099436833389540650315381124764434117450990812701068504000207133107020151750874309917827838227031705627271416080917168520934275370418706064665446122073343308464629259127969301143680496133323774094047568428471128268832804351411702067451951089998651793373464630390537355475454633316301067340923070397021919523282124770889856817165838467614751623630765106040820083600232983213715653730034949717216613693076799756134536145953721513403341569492319972179657545826108493098430815040821832572002279743121508656784099050461263229151500054142795139016337073133872037520628242924853212783810869024038293354324150427181903811253271884444245849666490697302971320116163791796793074497322538642347842872788010492926916969326060690846117203054632601444811757330233310649213064144184334381186374626534396650673126999981264909524893615868763279415083132924937479508286760122885271124803630991017354560660194452194417361430893905179650446967970551635705010442175370541730635573964796320069160366907833662862829131312529328465860993099274994134387952974958746285292906923319674640823770921484137669133366315016034776743324795178284269089573144996593794166134880769399318849
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 147 of the certificate chain of a 5,496-digit prime (519 intermediate primes).

Certified number5,496-digit prime
Certificatedownload
Certificate chainshow step 147 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007734453217 --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":1100000007734453217},"decimal":true,"detail":2}}'