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 #1100000008648834626 5,449 digits created 2026-02-28

Value

4011572795038098789942898476509532929697367100813115222151454584131754553541784090763778571075349371369826461055954438361065124965326556639064483378175688359938660953414268821883367494868263008105755076423652715406559439289937268144651720983605994433288697366409582452995965302462985955057915942972306291885903769919249058417954366827890256924152680019669505901455664225423014011772281382590228219610386631166355325449573386164647675690304774238076444017814692195252345583897109399645399743284565478978392116195597513586644779993927099926275791731024983169340890277238407067009017546564825106985833613128129924233757674159430208196894701234381790695979921960869844848962682133666338929628091321654318692293725985068123406407282815440923655629103225593000152014785357203210571839754963673873977621022138843364997623818271897822438320438759822714846629430064892798593503638512460350416379017827059022012824095704740907178802036391514956586723164958978783403565814497782952213414797608680820706597073841456003957601741588391590805255996019317836438146836951355627140487932766130664609659462218096939934178680225369796999553143465721782769505878286933879067622236323923319117611564538996779446475787669928255077428517506741024124534820543665381176793587955587034767231647377460309435888341465882686602256958038357371559049170476427615620005247795405741804254338462027033346610544791289501374206215537498423405082147681765754622125830069027160429759121760364172799748854718927813521685987522615732956063283322767402768212966712687169266455005621471191207179918632101351443909028718693067643662898121750673250902900258517412866003927897710287533031103834536152434793498589629057536956072132497472189968340023116211852271948008887737225707773083720255469838186806551672432328581960924692655014456441968177442283753055442630259244547632602296257219404958463356881222664885673699276244498503548675382677237073636464850095000635215121735159650007787064100329732800379544133226167504581301960073009863622674674840060629829799420178609250662257955022867354834486792931951704058246584619006857992647352388377027542321214468313765080817830058807559178626680516165136744744525380517339754955639568347312724314178547952324296984360678843807729211297477053455130056036457250370807414646542999814193539972878350844977860808325708885959349620934692665969170269656821853741373021465919900586278175373986185278363697866790097603727962987781334796780393728382008647824032343149657163557093367813427144181215032853819355142933594677619551706385592783239525881913074773239743677136753053820908512667014096537801497715913863651381880297176342489028173692767223690049881025255407791666816882344306849377407685255630869561952932473977860047188813381331569012082238919093846693320500437958953665566183451913121116466717402447435345815069129889620981638129432196789801313583641357050349997435190603583986307167015475759751254600107519681911097631247098161713250386587071824013133867196747329976342234880953077163150721779672435863655517663488371520339225862625424989171579563730155436265662971293107660544574090950607899200260028384809782894161358821045729829151469830182318940591684028709114342311539726049748347926580387436937587315743178292883922635768391429191191465065422923964566741226683792657875180527166225327566552904719053034477074782242006516103394224168031886020945972819933977044781350074963780917073573290143536887745076141992137626815977433522290720335255027508866571927551897173723128744247868716642820767972065651988367218571307825196840971435234332089303330051343682974413062489147683337503748061413142599576250693273490969416554528253129018383195706455136141752279477859991140345244505595353059891012089487406563653596214661471568131209294935841171932715453805320519414487744977708820707396811104485578998188416943235782942315483841599682228765738172427947631440802397665585737261852544812362213515614368688080850779463527002368940274277898504251225672207710303428893564427896000054049727781930857822176974600263670807445816005601229858376160000241799864930000566017047063025700900160254450786049152774774088640234042652226662584310485526688703022030581521611862626966149570205173144865943468462378267166321056093596067624052517879979417070777129860287411978082267576746489165475072248826567506015734832054909199985762502022982001719467136690247031459499016777263085837600998382569341188328115995137639494960273803104079012863960254389217534718820194120854938849934884315264602497477520289324006192502961494249268065304047246960809840485808687262645655439444503152607823319697104141879567221033136771304900460389056904601079718132613316229172707979813871521598336328969759964686218883719842902440556100749955177716380514514474131080161093091228562995000122082683620561504363868508822544833868724179178879610895466413930055635018717370617926430032360673096939281893615632353822686009344277949064383671028045216558337139535779810085278361307073026816426001970654642240195792169112400073304738736800332570440821800763968563516991116483358740134340319570279781277557617643236082939121046986944238803129458407966057105095861122150464721157402693929492361328191224655954182342591497355641272300368609604964255017497702405766035621493098051107347780424191982195986359235438443446655784291476919948649649250402780376533201460320979568786816635602964321063932579474680207286049524275117799367770576353467336724374335731603021782301691981676662378977590221496687051543
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 5,991-digit prime (388 intermediate primes).

Certified number5,991-digit prime
Certificatedownload
Certificate chainshow step 42 of 388

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008648834626 --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":1100000008648834626},"decimal":true,"detail":2}}'