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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 #1100000008615796989 5,352 digits created 2026-01-26

Value

412909360559365556566300954590476969829835492933583366543463403640156112633306881858115810189633007566930821408295361689070419727948562118253404262353976341087307152996261121915473138715361768101320081193198403343474935822212419310771027206269596966238281368480515076969161839256071267600510663747615812509584919831638901818008904803159316437931284897453420896466401093602791834104139526952345733993360292730539334639451712336870132670663871639635787202471846638086064952368202942373898900089247690337929126857353506468091928234352525855434064458287317877834765859313147941711266912297447023642436682285877235092838802772387746099966454464764644194321094855063800436824053395515097921090791864409665987943062681729218007528792657674268207667150643631735238046880543901534941038906625634831162919510757285072594739336375061321768681481531095947711639944705375958656344826778231590240341632145963767465660009660421714588615711214487649021411691993856465049702429007014473455573479928882684962021000895025262046181248059874544530033498211226566196695922161744032115577728435489451088979288358468548891686783485154403787181073789088427002128493517893058517397112344436241229695241960807264975869794650789137476969810973972748169117179800720099285376918815735535342101481914227040499359077566495211762122162092384891805506937203549555111219659548231015265648773572722254749093641873796611182661664350235171605898680643700719645395467099677541740102564384569021143925277634832185660990910509903466301002665624809590557557867544383421219760321227656130983430026502325554485849791540221154877613554610476697149907789986450977400621380018527855969936197779482785760063177283420832589074714367231982218651400711684487004939594915291570022785508693342127276725505162892279446124961369110031869183466934884882927316803162939163285519460418273889466471464093495070487385188305928552339810782386849776000218099296489186567328406871731703785554669620648800130868336949480547986324516510404484489801095463533774845862419823400626034013566777718367248292337611368163523336419570834819274187715437656215132113244428544917312543747526785646111742791648202313096051710086713665145287497412241966936433189283580715490335244118889517835317968931993991449244187325279558256371177478191612111098493734607382703023136007777765503870306767693154095868026761742325358563401760507872577256491265551255708272326359093846292057802988164717105437818727655969283479616272048944830652310029182894973601974787541245373570542334441157077898917148635785565664748730681124722446376834513309075955608288638664886356697608049459514464249448422602081243103045934924717244129845540300759283492375563332578172439223591505849657993715835190991662505180757344905272615280841025850327912439200584178413511547266602159805905381280523199429290881028070508688026040908060392341088834271845342105524607973538332417597458435320577611663667288656461596978930701686881672915791335443094546588765520930702054898695830586927533479640312263603023516913031222644307896837586807907045634669441774796201576198201576946692650607766653780348943814405914347153420118790506064796410109188184952089665564400746308469821471236599498404540418814618739511506007577246830562198677573905194985318744469921677696584805630260724790928878398484554643384272153955475139367640300535899947981841710512084776018425338641650123225695956959203156396093254837673160102177406505332352240633995114377717603476929818731246363311313344375919545169236192858697488015142782977574568222702737905444354104005214499249051205332249891460669322915555471549988048571277992146348466961837055377729548874042762310981961582035498685762554978301392941541864569067646110584867146249213431506614607153374538448375273095500746366780897242181874659733669547030739602561303530046047094471534869963407585629383219699445913255146267479384222515937337054966095567570666333336027638171786585681683612465722966895549931321099212181199398958982383556104667294321286159918821423606404440842455698037460404259537352035882078444907209408257410733338557925787794967222647510686201583404297007905982576168130020807168002851728534036033919536439826050286086461664079468046875089199569850154692919619172107840036173286420382867133068587566320522482927133439928893452394082919597666490065389702965900764550509040043994468946761588770364503899847366740829778523273231831716760325882464004571125389010744690810868935074396158565457970744652363562797246532618172332455771746432774489199645948754547877892514566765727010325744483825660964674687592230319712082204435726722964654664838569062095072900518890881817223400318384667530137121849840202701226462883429741027876849091865250711048067848055262067118980519164544091397790120352010546371550437104052142352525684120545293478426582789789493583593141233048928312003056171513740814217118529012981580017795300403691263892873756153882461463995903947613531903650981918108660705317766153464288538598663992158167953470098620150607658370562463768411145251388258708135915927574138007836808898139645245669737148984679749066806026263802118348030631068917363902517709165937901687666785394842090373725405350572288482615522890664432600820806931118727367110869449101420508380077239437009517910790822072403288675419064871507397211755978111389740235288606268827362144009520955587854286445589018214470127799648893774573157674158217382353
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 5,648-digit prime (771 intermediate primes).

Certified number5,648-digit prime
Certificatedownload
Certificate chainshow step 37 of 771

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008615796989 --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":1100000008615796989},"decimal":true,"detail":2}}'