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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 #1100000008674980756 4,568 digits created 2026-03-09

Value

40191858177778408988830076686588174707430944237563909811288418782511429369556413310433770597558292757705913670375813166079412735833949125732606208245750389080303604137559400220048126279338751501046553983972329215379973950708400912934903777773496593218248466980799502652025658114750815699382925396411194955802117719565343311907949591770952362773884046965778462439929561816107840739410675371258390344372909323943579837514103241531957635785889407739946863160252435542966159665192163641116657930347226130641592661094294782054317710338495955735071927599806431195772417523897057946631341496357914321177597349991977766266211715997779351357726077242398265621860313101865478472501396651258493342347416063729510677822643823843025875129529531492337616291022336242871562192903633578908832608687422856731620890309205416437470953055528395803968867479680355580201571693008081241443370309025849893256791580350956672792183995969688884237168865603363763478639853679137901008686292724269193307572237329186560207171748722820762823427609755094952867308686329332475284948315752474460616083948833759285284067870680212917613279454746865503877096408812044495319958400062110749530735822339909709631833069841542485770816911054147266115089855480044091233012242226968963964793574118323228429449421175485018199792238132834938078521215190306502656387283370914454191497100710020592547203795816014609881236740117116775642392144935302015610695997795155289421726671133077384051507545098014424113634754691431555895334055648580550850506816786895307785514790429702618447764180827424976918865109648787021094406433273261520165544977602212460515000521676459803127899965776875378434417826913606307219984544853587733434202511392940536958207049025031242640438051162676723639941977317732352247374412520527288647085821059126610799709418604507774125635434525346045482568720270904575062247532297458051586895823841302533868256619789492526049494426590387714889072833470708330747233669513824864082569694769028752866203990674004579628996683210248745328036761864228945743359497671432594847852219675387422838535025800963508820465163919899277105328597737447742185249372936722104894356438819269055220826714761986412604756366987636637355499800024597147139613720188465593930387055203472983097411897422283755085014650626813822969077403764751327360747899097599005449213639852839689589447414740737147878868641763393264991720059382642798110992631395412328144347437010087709534563188374903847598770000525018802933354917443287814465526642705973708557470832933474352852642079590281817872124975777508810343244205842789417118751084912252815645815337755255791645253482620212561428657747918660849990439859428564756371852243597398272920421381800916102862609489744931723815208084452887708164690016935393808771418509909619744935028866734602150275295327433934141241146259440311638930053371969928147781179308361606250301885375907533076598911806758688418009740570359207868918131314192429684999426687429807905529273223832980251959098930646825219477572822912846446014964284851891423974755484625788282025023374445120599971424528733316583296710212790882680537340253895689314886356181044053529858341355159603652610464987098992638506436726150353405814339419264168177890692542553490644288838356422844364664167692823311030878078007529015360628265449255282255135721241207650202440701276828268415435005649198644547595131623424988640481498254899305370060302134880941437285303196384293719734029334037444654836951372617381986875513302045457998123539198592615618858556610894453893139641426290785951945494324251763842707060693646377623633651572639925552429338705375279435710294325878888010465371401958670663796495646887971297561782000540975000127759503029196957523108987066302758909497132744824409782297684173408638637023410981130000023429782747740117031181207431013648014794546144335058047821244204283998983203890364483538012956660492030546176379101584565239239445669448108782054099530531376574145691145941446606722517273838594389566436128382050079903160821404405626849322919192698104325528121392790694742838907072147154961266770062704176162142104715282084409431135323570846157629509266607166302505149801561620931268502200684313252021151544859688704582011750523990792281453974529103005657093513007273113384091383050133587752803208152687882874191848311857820226046123963539357406089628365142843778375014987673082694922208054329251870862381064140818844227022002692662371909083714417841695475136430712644426710724067008363419218937935026425044101660519865843395329581500513645472474961317974499490646736424997568575443188236081734294274987727673438880701350709
term 822^1567+821
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (4,568 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byFredOnCyc

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008674980756 --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":1100000008674980756},"decimal":true,"detail":2}}'