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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 #1100000004816344166 4,876 digits created 2023-10-24

Value

1680416965336106597892028864111089699491157049894539011127080902802747039099783704980273282835307373098995662631483896632250106165775216646893645394475158827193515725826482857725020612949683746057060262663273653938959694697559010562273133233356927441493928273576271834883493722631193312743669143030966727924668708699590359475184952724051727928332258344640820402814220968601236364033504096047407159124482274755474561702767346700857286352060521877255428572628307419809270633992075982840535488046836854449256295864505852066297290310119575248570912277628108353448824465115424795082177194364358416706003100857155872599458934175349403459091317573626274765591081972152998268330892365527233437232158984487202129854797649556796673298032735148013960638870763286336457737394002881973188709436442489300572743506161682226594509754933860550258087864622101417519259867646062638496806624640140619130896128492236849444793442900181463121513458935983270074778563096383884535367480058479166092058964166600422861381614820148390708760467837414165262460666206606022200802538782004360620845097067093712019010582264582149018832113360072038800203767274539852477361160314664288664100258574840096991407857958029044419766910744748735318340895139905267041272809126787412393418738107517539985869226992656227952294713385792317549348003590649447599424287342513727326686439022322450083359833798594834407761550984571517697129975407024138229353848038242979092369498549744444863257276211180907676820067646308523050642021981270537348736013974897277629689983113894840014913871165395928963040132328594978998235697006578519298140499664982466870856450701333302872704403657418142792377846917245871014583586176133921678737315921263094830968478540733646417327367607027335484916623635052148291104539870691693181015861719692242016775681486947602842217543558664348694601654003094439805317632704856096651471579691643530407435173980574855126177833091879220757898121778901535721658969106187607987495779189014843122114266937146795601381697581269776551571570484485893811844648719466116314466452939887142612990060871730044427016216345365467952603393023145297705137259405953520781472080488983310316378698659657015807148350193064254834380688890492280370815726764458386256409105403173391473990757845323907280319983515407445262856041601422484848945391408228960250743749690037330985759378614187279023023081808387991511987405984760657106445032571623561440091786049755237472898936131267099939373002702127552269234877429852859345485972078306683159761180590159882650325017926523234721058973598145305133762651188863744977727732613036700107638163413629302159886615030995481488234447293475950567020041827476642256276580869610597281769428675079210733402273643096404350153222541939066829556094196941516052806452626453692182240034467928683224655755232476106994154603154563304826848787193857593772085800120531110113832468428495825728134045385168271339939476888061007254225444960451115282320745688473463244879241364173245432675738453193533076890184808073110941099782961484455884671164044601861033179671008918390441795149039652031636224914572623230219134948858934879406066141808553695642181379620141480639999895880736538478173021894842256020571420740251292130083035489595501966243673947035879709076208260774678550791271280227218531990279245156148752812681600984295362629204537302652001005423411168705044792885483428841773326861466867457441160481816010568777342252267213272724483355048404359050246782209316620488498778659777754415333803350878999633092783702315608435252184281871326225927910871003557896488351627690942253374856735943473703635694999175261083714822445508860436178894751512205265462044220948648603227138152487279076225028729023128809910520044853608561772694741016233825254198624122776930399122420328299129250736911873439010397882761536447900699800663600806821112486215881155347948155632879116191245475966925736597427317850344045123794275013378294470385126420244497060304205287818411567952006407574635137801841416675495287530880692489163589646813429617208961540508529393313116206651974336678407063129602077573239456784703822097566287370969320030002588340720983184714943301902253092018836517658344369636129654240317953341964018195432110761293352385714440854730598418724110460655664089630958169960985110583956072960931285369803342143312564982661422301063434067120979502809844432867804608022585329784894094311463576061482796325768544798290768332101730173756070363160217394050823399339208580508992812165347886908162672914685236543384438395547703978850600230475791557307760248529936452596145325015252488981359502231663264978263979048653025262540138888911091749643556801514006093030778507393493297570511854880865884077264646760121256716280820498147620824862260535815458414607368593549903136015527486184269504095644110397786290020665424759532725424410051584545443602969494013817286056614996718733147915073591576801473132097494678143100047849913
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 5,347-digit prime (553 intermediate primes).

Certified number5,347-digit prime
Certificatedownload
Certificate chainshow step 41 of 553

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004816344166 --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":1100000004816344166},"decimal":true,"detail":2}}'