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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 #1100000007734453120 4,861 digits created 2024-12-27

Value

1837313804641970263912904334836423320554822648949936402004470254471593317899160350422533134440686593563707933121838718768092495797676137818574739256995198940937868575493211991807614724629791132936002805242485385166599579576926120032965255149918131021024731157871129147822761925249893169733582537135800219927384668279785781403976244322977432099305707127413990641940011739639317395429159773307617318056117371617648070967775542757781290370603900527379984719625567847861105469130956097038775178687775432689118319600584147955289938711617205674976404700384627094407635997574967345595818498959741272292854812386705842626050134338040774615335758620436574214723740258086538760640686690358532814994675679995347337635112235877614497664523440055318476119706382117265932175658024111943337903958774746184975774020142878939823742677978071326065563290394799823186969986925395391296010251908760614164767939425493478910581642868271092142630703950320401106721435576513436810955958593804393485581068334814032189408027087061697525253272659785132058977556182385156477498068958163533210324767113147888516072766881316412350836982267320519975437450124837988668420543792924806064109679680724306729901492655635411437018867248653655624643056273699056342313672372834091260180626773522797988995415267877820755139436881862744830154732591720877603889902862807996525502710409681872674747726113567835233773118040628820233905370887127275478541741939483086570318767651952666385624740236232004083655959918240604596344217828949022908136807500109115328861246899250586821623299285937335084706380512411821983051312501741536178665206989283847260526412243197650084527753479561444978813175937082886549588838287558068352797319748290909268982351144936792118999356907534869604473396515555007551403917967930208908572071861470917438289740819635149257157220107675165852434795804999783433286392686668460376346882181482066651478556434498601327826404690895029881662367879786348477606156910233308056450609300923200831282217940143029545484431779073022626681146257445068316630097283585981506697465020371288872425375010924230086768391352307432676620928042154156781212263217606730339328848147833196631229297552473404252744341876513932034231827526293025569552740133288385112940734648817072891537315919216177218508150794972631033068084595190142834521112495835943869015504900503584384400747327522996982963237399905413549697454829473539914220990361176854006434321862080548961770796751105120781612405453803350769352652479236160234594866147000053242944038152125439160677418225494392587329766434266753029372976681676019539583029220567241014025196433841477072898399888483599413762992557030742957268840635141946104091416159338664965997754203899929750533734702522455213555507795069311880228752337424989165753539642334240584479032401543838224106243549197462263058882461644450848490252909187535531105851328358772269144368082407331028802342022240705423176569199678903491753386083635090655732316240805379399411333097342499719736576771178712413613277702425334276889734086117135799745816041093290992269928919813951838445122639601187464068247777648981521127799465208396315765379760795966435039042925966091970804601322262597329839478811215287887698845402677099828152307451919212364015011535652184334814001641415172785566379031665162407834197917409190780392407722602177065321178402829986745265427405992965542885677398853953601382032135010441615181671526172108183655489812705450405481026348261662612249053543103591192513562655998849313172380498840946179153430753292392865339965954328926303192974876958805410990582234347224957987387502153424305894901235102305761018828640895266795361219583156742378352903080338409086562212081715960128502117189009807591567718122303286925379955894639180409241255475209860151368021416624823584687323617587942862214303867809646578875736066453810566837193069225947013560263785479470692327847690252214382168744614182248988935455970821510743777551284695487967842529938527195772891465953134343632057038917189029556024171178659364628745478396876184610220397628907651856676574215718391346545015926062981945515366443950568955665308493313190104297828265799635872255194065643471018810008952009937179123083456915821294618142748143838176185365698741989174622531846910053255078442734784498348624519302401511567238573483873094069823702261294812559421653863086192388932393031308753832428902035687848321642549137229612958308366603618130270937138118127673095707116259220201634569941681469341263962761920063895547329615646431911356608681992805236054728435357547341323596017538367628173566408750760543836172384855365564687353778026225762254630131547148530879273542090503871926504533228232963495616079571677156873850650264556649722790306433920269487931460841231933713999320364552786466218761961545762844033231937372833697950326141700538653515591531341533754292303225150181955619598273213090822462302684489536348133745458266013591
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 5,496-digit prime (519 intermediate primes).

Certified number5,496-digit prime
Certificatedownload
Certificate chainshow step 57 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007734453120 --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":1100000007734453120},"decimal":true,"detail":2}}'