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 #1100000007106566695 2,759 digits created 2024-05-24

Value

31634482219952578562568289541634307098240714112905256432817618414676764923653031983190015589957686971407507838612593556073842694020352359033866963746351421799822974313167042380930508206394214452770111548913407493978444439042757433219768290076062669511633085837172810614863285154436204642420229425335029039144163106001371832195425649563617767243163785112728294175769161603380600338812094279901909593381784124949520865575336006313975369053960024367061203045328124951485041536632572559517217835794047630245864540240709210919873647140516809868717188648152881270750517580188822006630119589682189720543422390612956599561550248655687120684452671503777682099829402504669510249493036712834060008401538160222646943362816311482078976179420224529336362932417897362821969439151018768608781529806350392383863305539178945483660048247159689346456284225414279125939645896088011806719944606060201602722013384582530144068401978990173898949844104733803013000275590052138153720759029061494269702403825418921738138429758105033479177744270293628619534323194892130520352641893464369000348940286181521773801220222251775982137516480287063295196508548677375912101482489066946091319017003280541026092703759470235507857238512645189692658679924091158995839960629329459647220889352876398435645455808579584254333016710319283367306026732076943245029195983803058543176857983338373297167592141663615228767569845509350045738247704462443872672973893458332070228305173571102647217114368919354392420411186758913399778708803714387649927812529984315206701189086944230394021312181603597975399058787828553373184982053985279848719430849172145369046770790413972809881605653120639087988445242498501651337885800983841719366520486980653735257341683378316473943807762828573854965800007788580886970028479564792159929313406400744088586239150248280307107186350768405694645577288794475984345033342995482803308410517823294984399859617719865383222653034700830611554494365048988043625552534618262025342843123509675079046531814411404862665877798847858486885244893770248457268132796260014766713155000708644936211008653973925659801627877918540578270161886737597904984985885471730316077082614594238743814030058550375679724809485437372982581438811890642941014036317985598412688910229447992462137105493857702109151315226172401781082805572715766200115090324616922421375536091960361725742305351786425573841348294341917416307872643652786544039049497158876896996944880109210639499134818489934090080210607897490493267030870148906755578273940490835371889196241250092077653712780889351780288478398719463232670636215624410010233552037761281379939872752609141349884119971084950782663372481526569207521119865067478614131920933589208346952066757516256299259554539414601079734888309536122816524377121120865772426297849331484691296263
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 3,457-digit prime (256 intermediate primes).

Certified number3,457-digit prime
Certificatedownload
Certificate chainshow step 54 of 256

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106566695 --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":1100000007106566695},"decimal":true,"detail":2}}'