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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 #1100000004874187226 2,223 digits created 2023-10-25

Value

193166431358639221354538647666420603405562916033578359690931663368003030341564075561021754119462760501479384963929062408638292072483294093588350634769346761918642414292724857573364784945698239398826763060322269807074392056926832899404858559265550925235834623134519789883117896274260886179204920762986876434719233793058607165319402243528489027463325461805030987080236021828545480721932678106742004498861284014381491121872610647735182967976680030984102618873435098951133181009017700564777643113083247269759862891587992292650705000256867687269136633713373230434580027161916735859817243683848928985053386418139108296009722145547263460601373211544521865943471854701154563113718287258904949001138396557468341053501975305428339592118801963710459521308072451790813520001784334817937853096677446165139948374318407867415588405643211352080470100109820948122708903344298018383587822083642203232785775484569271965758795251612699751966192216189278143221814642339603625201191966880773846085154540077793611809314840719827555985065390931089442575242425529431980781306886368484020682622423359944131381695071654407318117023581453621885186220068179848979225306685726176254386075649870218457767755121245029907137061134134861154333309613049671895414318464558491870149807657990301806756069260747920275465195241580774257465694032626926398081328083575722349213864679534652164702473881540004639332980337617628416598817775711957275749996401885906969383312672224500127344547842173311977484340547554981032972930199673810750336776452797533298994639536344928673559959735972304943528546703571026169437751165088000056431623220658932094997948841908091186441327347350298951366531300318205398273897357643680797975439082510003153246031283101917691835416313264449555528030579569486644299130639626729650056012795435702436829991157329565924556523706684185033131181292928591954429363664217563041739837272525334180038453735252568043695336300386747042337653246920128024668791433201220204226369088366220598002255481597461858476748517290213057026089083106183024067661002008320982557519146045326025138300711084657096247258984397151656561620436039197212480172739929935273699842658106919835701522496877728073511972490156784736983652452077983438060295002078302837601371443
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,529-digit prime (278 intermediate primes).

Certified number2,529-digit prime
Certificatedownload
Certificate chainshow step 31 of 278

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004874187226 --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":1100000004874187226},"decimal":true,"detail":2}}'