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 #1100000009056978021 1,689 digits created 2026-08-08

Value

285504747432563453171865969009159410131465102535726215464099141216809295857818971968503432619938254958790324729967085257970681889642971734995712989316150059968194206982630288849140288122825847046336481554931705629878040228790311718289125565685977294194282146773798771337048927257178333496679769765315129770565280622988726951955757064789058048881921793332560706434047040766224301590896882880566850260184506402254255397612230032514163410821656271346151580195003424783931450563189161978779369195629028988653009357748466389128462900103956291315769165788872314652339859180567573165792022289842464097122439994142474148545027933747474963668561303676999749525931862024475429439830616554562936664870583369233438457128315825740839490555062859712476726776179470487653938976686012452860326688542131398032513801168917917522258854461239282420030482374867174458859161904193119352473116133590718023724212754571931029443048450067628131467718947837564096362902106987902307397495133715773311663942226848148016296167116960263575035917365966901386335225483147474382335720665480030935024298207045517382031717499910790008496008387795228359984367242855613822081904225906995650401939872893584701743643523727772785522467559651540043619094303554663522926044037994782714098139206356499825386349592412668918468598741824301336409793807136295276801316280568502531802091436239755773703610935533827508336039817362920588710161269781947526841980366660923747311982709876422126358421520531131401940674120280023033558543591838267591612408543267607622062109646400818979647469392625536123859331031080248495622344273106111285526524067568058295870036491224328936861918728138079458312206216966257045256380406833260405297479557693257
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 63 of the certificate chain of a 2,439-digit prime (196 intermediate primes).

Certified number2,439-digit prime
Certificatedownload
Certificate chainshow step 63 of 196

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009056978021 --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":1100000009056978021},"decimal":true,"detail":2}}'