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 #1100000000295876901 2,181 digits created before Nov 2018

Value

188317042314035795357944719682353741705889053998275038353457378278568041136520217034856686087960629803805909017086924950722958362652746822756571709616601423057640485982261592236610848016385232982597445047202586809304356421169623601345218014502240183952199255249681022958763391162266163734716643634853562759772392675276258573705540939929083138419164832394768616774241242572815357829299253845415974113768107013390488361987929106536201406334203206478565167550712937645671081874867211515596894046353331944404130557216785885919864655969242502309208888617715281351842878277236948931814970044814993437703449611372562419283727267492816815301840434662427953698295166284868332083761409649405060890136260276231597913889867351293215092124932835503034845741496574793020468629765304668679695355301919835768765322334075014936295482083939337218293301173394631493033505342066734521567364904908858896407990833335223102946150050079757443049643046182943425152243983070319438941528900683450398408228507516104516927165942970874672274102920487022258890579261534118418038608641295352083055527465963447400236797852319895866369737939908886545126033349072853744863821992072150629150218390986353343624804959834217952805411959404441713916250219912667289437766781285687020660397238952123419263523221682148032290388267049801083975014849318489827454913535626213086046074576760985261737076847499776227418882716493918019546273353073931965457665149104685778390710117996042161935290559802590317145099396492980493217459638987449317499350449719771226319103153516591642561140926328721670276880297195771933226071236184192612411059010563467389409308722260390899745275947987453918110815901275322572519012840534081527249033164125895422149554551724345866666876563055984424440575035427001539100398006772006070185823888755399194846086590892958909908018549950150617780400026967488429541244699685843006789634482736046148720978483302941460285655542810397642971939999283361431338740161007571018989837453188165143333900288777971268818606162274240711724604053601254019147259795000034292245936565566182630866270313064989144568640941580326614257580922351433088623780941559081233595947908397505204124327720956641493909251230227710650081
term 19^1705-18
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (2,181 digits).

Also proven by an N-1 test (Pocklington), base 37.

Certificatedownload
Certificate chainshow steps
Uploaded byDana Jacobsen

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000000295876901 --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":1100000000295876901},"decimal":true,"detail":2}}'