factordbrpc · fdb
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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 #1100000008674976419 5,153 digits created 2026-03-09

Value

48501727458491676112898658524203786749332743386802351500891101369553166316563851340700229939017375845572046481548330331772825480110809495116658569671197656739291984491981971937115429776023035624415059689997806091070916385265060285603818428059912272708658547307728732448923537348887819951592156474205424970362245440897049058334257909710690193738680058543766400121022165687213721490545008386519353962935992331485512790040856036230289710903439544079707768277686833195162607631326478207289332057435140843796699558915507959211397163321023176270178165639180012071126541564028343236676494779276071572401600003746078601503411642144964396227047823566807760362753134518632879431330386285655765532431710359355319333108576622605306997270417542870618138201045233719655258713680324275382330969186472384592219658233182524486955228380371726366729543101752437567779374503275547230340903720978013888879678360039364175339813710307288886415201021904901965477944402425303011333376976683402040946736512050702877176375531628739846511285505005125313816496172159724987477481574059456025553205384484223989546161166798063455454077896393286199338594325921122117114286898384282486648300865015369784835505377747418903279904603786400080591094607132101114479297483718265751186199907793473400937672670295834729858259158514010602173294206131452968496374737084115598913190366921870138806188288011848158706917378461536125568986397407342326435149782863029344476620081113087775257624068584825920154482284557618253781891046612190491527745116526828407223950860980140805654501167228030375051805615955128957776387510004835053714742207354351703457893055393306583898644966803909228651702037620969165212415546839945056498017047198455606692668945959178893756000002043056748660880892444543935196082940338857140743076067298636799894144220553252465830156901787254388312581162717178207150229873236695409647837149662611172282746160307684762350885074135057842321712392112913307662227214336122610304676094968443295311709189501730906958701980372765769506173000392053429373805338339861942799265033547546960449598279814796732312286096070138123151732871778269324914009696165004278309326378758384605961941299292863781666756633780188556041867278565726106520293115190419730204607524663075944413153422583991961635534245816809188001144952586764774252124797577497061395966220924426267373056340670261804545184811148397482558796599853429177386596104421162079401029561533595356640383235391082977658615036864511789694168386775676158082738097297980989143003068270601778184129020017415240855382098228556014931894377347510095383163717203727949311463172980824770998160848608627156640165576537204646110860440427010108617634597024324051610811287301935531829442560357531846831442541610694207043149017226954084533297633925940285554671237554162035659471370658681409521794742222655574407695314234201599112417300959027546836506543120973340037436620304412655113364354008359369918486035500721872274101337843801236489533900630364254034198557439142012141502221828456922704482661620010370852114860576836064324420327347117108368252032577826500769937922778224974857613851531745981802479761983722266298178877285120141438681304049673422427592010126429655553016601674453311648771258079551144353782952192119777561168076408414560373157446577592407452897257789086890102000738440784325114659300402269331549810379351965517214349867973150747232736007313498565122108461593426759565826109273502741910476036389816044491586568032057900461380637088356144663145856842899122365006848823573793970912243804769637171246056136908867906918402935698571904991863922714070760348878849048378021327283466661428056285491981612987035451565044534638343149501365830516124201224657405930041398833593737109703548234729048175835801349391701761075475575103668928677522462408586819999215826875593963997262479576128293107707712617309553861902112833826180155887571638509562074065715511849609406649138936886059219786891247823664077105732470499678582987897899950380005240014100959516793438061574268971277081296658105033047176241555096204100017745628773365840859253911800653537472167140973691195757147893686495330812716314381440962104714870078891573240133569446837554125820418248071054593369846023231954113751472398691120010588948318338952770267623386884119780073193896328530026644358933896370897291580771396105839984460162060512752382794845518615141477988388938857842311934581011172643222279359346129352528850742678283483353444162645014642314184003934038732135687454786387365360266620537336093074450857170985596016402365019080003292297167729153165244857854498857650078639488659050915823167054060470596183734136754901345502703204311386609499229368823281148828107849560206814360101908050998986406338734643626630058891268094511677608268363444373347582694319387214244660947480386174598045308177691777267271543235015571746229914606286024199382903752806907349428470155227486922636904929556301733999213415192917443885849018559966210691034233854654847849563626950100016393806508844656184050056462966556605525179525573555603575146266833200012709959679859583005583195339088799555926815730863387548663512606935712063034074629803484625115409124457231218981850739076298810062424374096429613
term 558^1876+557
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (5,153 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byFredOnCyc

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008674976419 --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":1100000008674976419},"decimal":true,"detail":2}}'