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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 #1100000004825874965 3,516 digits created 2023-10-24

Value

153678759683070904645969596875854199433391498322918743187465823183225264915105780484301589836454344766804609298445435504702812314112704060626824495022004889330529845339662872297776656300198975924299731498626029948549651647477887338134685031165496793263986098801611667861746832207100550830447203010851535943981495827034963977018509090510165745712020047763650721176384743285099235150644312609956478020452228969792993394952374579187618640386008570524753080678210765621791996201533131709418064364162781132421863245427533321892004059901404592205136085779007448428999370308907346068219503514888524591888270885065752792498930486884033576616972747954267932420370548992897796432004358701895411310722249605754009304057717681399847961524892717970813178021541639747000277337373357094413259025604722434713180128083446212165513577773907930348489428075716457323868897545139103493789995955443123584423910421498817918981120817384843535312673759635489565275431911619613519557234886006654209733712047597747942466604705575244239637558490718320799615800895056493930997537608934039553938052410878169932379170227907194902393951031983255166599207434829179640189356360066847521412100234694664329785643740592138057947670208922113270402930164511509637350542886910805994274452015837278140479193109690688206183798630425100148008261303325378318687787098125161238911451421408079622760365408709912606127966596996402574313619482606686646924137573218493694569827812808581617110235727578698847262684748751788682160829708469101658975466145880061016233233252625812385476392035088017713258764027517062304732321229220614632423369484237906407967442831550264779149243635361216530875638551625120730414312120380432940562266334450869069878405579119840786149005141235316690379732305969779215769692219582009482943420325486939003395926851493615654968496918923145404020286286673187617431178635045022811254615877464239287402307033642609285809611521164241051209953870448180141053663644457027213029592069135316999064722917010312869944578039339221081766557468361242544198743316361140870159988107390498431219392425930236200166403359328831939548527455576805122235223799581862701205264363343039829124469255642820522240420429380694853669054315468965418203856252936681660369402438266519135924609286289330615622473421357658690985452693563338511601001273942710284716306179569549395537799916696669706344638866658161936463501277739120080414108853133942523020436739696644637850049525553240416864017943034994533372962156127521218859906816796714110413147302547645594130959636095164479151363093920281908942744078614025686117121573771248476252868242072423543375691068937134544149165688880182122733081237759973981381658381402142751955350945528624987183026495943185105432845268362521728863933761324747014042613188899953710219118476859943883309460239659836349825677699436705948307433935585029730160498928212141779712058590833612186495576953925129335948371617522504067441635972455429579994753197390537850949671846933747126889594079834192226511452499703103338110883255715762894526448733192848648582364434412898765319359257540566525167551289710900234999040226403752799989311872154256844533282581854301831217466009318207671352301414104571637715466402227268610491660669436974287922585438958611473141028950881220620940237320840361581128008133058011434610243204995541356270269662746591615021427010217384846952403510224870283053204963266936104670932532324063948097468480252990786777180223685968632812804325408715423278016859971968167063107191762630603160287058149799363184610576991093812493071
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 76 of the certificate chain of a 4,303-digit prime (447 intermediate primes).

Certified number4,303-digit prime
Certificatedownload
Certificate chainshow step 76 of 447

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825874965 --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":1100000004825874965},"decimal":true,"detail":2}}'