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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 #1100000004856728963 2,127 digits created 2023-10-24

Value

870553003342878541309181010902949742237564145723803907740679760093268340587610875738585135910241311945575364588454475721225329174359480149452069243300371576045364519134901528799031365591267712116887467401179558588700332756174945244044546362453471688213143394828140558997884046166827153984184491266622037584053601727537574744845126643983235713298399851667146642274553389383724403057088072149038742331163630257167571526076644934027275063472847533355028382606322579436197330114270525296337213683579054628704564278443324346564069199348800031100246411478274132906918597239248976776879713448133825972622647899033909325883391157519499119710357015158444026573724083175289982012056739320924540300252653414144127584183737665764209514536902855871211463365827015846166616225585226601706385959605868797497608647227205060716418137317674711315625201511968136178738006035973041918414404898380026063824077687782588251399531662611804813445956822413486896393031827938662668664011402137499650238303950709008239225751559840776707605884816197232180262645998037529759462945967992615300833558383135467265005419439400486299665133109468877670531545091611349371537347632039772602538174432786106632901662201780740381527316876444055532305189624021216306817357011808437412947604576993426641146026802483129509229417705028178712406994115452707006621902802518441658062979654613333125945928842361751787180893514989335914110592059481026474087114386442857259420002628348735074477494565908439663452318485609686213990005953947738794881104601955691255060456487731608569228672559496628550137075656294388452313417552950390995237251282999783759164496457114403927258692647351242326162447205195250957409461717613307607329497768448661825147356922039228217263979851278991546163748585588281704758314514201641041526183018661223139760502843897020395819074291984269019427754793746483852548260624606985543694093513275487702472981993864394980660260076002579221393961836393249667329703285860783018532258653551001744751968632028175865001940891455841391133987143449756183890519325324110378148404392905290674582735425828600108039827687495451080481395421284429871403129030185363252149
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 92 of the certificate chain of a 2,996-digit prime (323 intermediate primes).

Certified number2,996-digit prime
Certificatedownload
Certificate chainshow step 92 of 323

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004856728963 --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":1100000004856728963},"decimal":true,"detail":2}}'