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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 #1100000004814907918 4,508 digits created 2023-10-24

Value

40019848030835928119305167608592786433018109964995671184385066052757001468908379909089984071925600985778060070856231964667363163272876769523922209552096512894504185679176890786666094608889301441991948581190127326342079967783385050149120022028180293403479683853679031474002663022386101064472763257934793115116682362928118277211398584588926159259246784841480129103853167980357871201033609276394883964651720665967410323649507267670326743062299256666444933841412322037708018256150451690076373091810459672083970025762004768721880490981800177727261867434348673846004543644003955745868349209272387524101112542627752859989580690547890702499295116348720245658247423696848751373399722329365137495216148607389031867237559547491775644995834083218115811640487368822592954664036220967487761130015979260382504630270562022257687241317947733555748200896039579810414250571339693608130217397328591134972450039417304674280847829142840262559502560853403391955161146701129037565111830555178296015267944056066995018244885159612430987629108903549150398138140543064193705324785743767517856051306147368992210924509826077956073046035774361593459735142881180891119656020838303468264554337572227874728644703424757385335619208263992214067598592197297660865583575599833047337155752773086308845953577860302877018839558497358814276942994803977632617498632980217726846121952140354933849949538915131180322471830621671058951856740093830785943013968820097071468822954563207267797544635258055197498850153346414537856867819603203180548091539465698583084525126692281784576286122223681559433111993526307270425395310952549774398333694651800589181362329442700185281538913158795000957352007674225116147246758542679987920367699083758986595680341446104924767405593489721794142816040026018610713776452201371958313971337692067951779863326163154994521516046235135618747022089154689540262201213116281424862558241122330878159313344769327873490451963440353925695251054934542785174568555053777621970059104988634813579325992973183671008322796163923570799438186824885541344804508669737659048024183144405735210649268141284436916311074770938618189359215729180447257783645185126867499792782850196176906640130892726703946231149963138593321481496797918738485497863444950953776083847193890638163537698901216405376557677635178506113033700892006491317270064626583736010977674666736387407391919420580182939163897982125767431137582009007451635758285754548808041383840992895634376316551726146705610342910167957892375751005539938785518561063441186641051395174461046355515989634662829522803047840532440424976194366360452379086539683276291859849371152992914239721341081819318707132724510640432327221819450371404386763591349510064065251826539669212738406066498114761166820881944581328596518357888227112401065397498416660770983060125950949351801553672544138480387232791047977580530117769752307537653018487549386281611895231487931572911888460731117233747275574790526736886802728978989973124363515158307844151971323731730483654454479468025107039038568055334802788789227163304209006632256164502693266874611111804976557452938437457513702966930225598060341474028663792909188292248572284464211446601329998973541076820749268617817451998263867988142199561343131956208761946738002569057754450570275775203899899145120363387849501281530227777658559574866016171755208464429557100944554159555562431292011432181513656708075372450764558983902591855860238804310868369423385629232442848854314485777189042867346890742098467868046371976045449479654476085350291588934279564606588220699556614390692195013776890385322701341746010132663401989086882034811154214334991828242764181496908487885428129955619488125767496764994689619689892093503976586787698069395942275681275187131304938562222871780040118425562802734704787297477816074027375287614525724783206894696879353486346048538904707308654641511095792950354705157560917045725629586057110720395289622712790374796213268872395009523280094510812166043306887015618294387646856298744970948295587348550716124850381690983495147469087735448702868430027550106502471508464190042645484473969665332488640704843548409578320501717688566279735037075358856536008279470949170696425179332066395839584697528352760851159158487861617609989233472572097699192398859309039399225905258402207897148931854584217459342582832108326828914390968065999896101728189331832899032922610289220639945292292566823175897906148619431333464521941032234076834079032842693945621357949742101177931811640752345851583474959015540374767257576991633601627275455562451448520871174553901995088137817969487
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 5,541-digit prime (567 intermediate primes).

Certified number5,541-digit prime
Certificatedownload
Certificate chainshow step 93 of 567

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814907918 --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":1100000004814907918},"decimal":true,"detail":2}}'