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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 #1100000004857160018 2,022 digits created 2023-10-24

Value

272884309249795690112405521453356420220186332269600239631794805595436821756020016997370999351382870698161933630708522048374482860676315813683526870831531232690278622806101883505092798145705036514511742302219709424095862270530228103414273416287773511416154850253204271203449917884522905438980263039353614929151606493323194193161467410622672833800511487901021250343170763420079386106358893977415079780502063490791342654499689933570297996045679898462100554437616335045336917134171771972884037844029612133301728842540682783391058288072490285785681302338176698267379718095871364556855844424540547378205995115631764594740648438001911404722350779138103800071325743087938175661303055368031633970264752652588422670977545880563152555783870300789675245261716169465105092125202443867920792621993079536871107845562933376331775665184049537236779830309547835203470918468208511233537339956241845377358105397654518859625956087380166806978372961099490345928085457778273835613076308453816028360406799551952999782307808805815581904306585096083651850834806379810329958927744093567906632517711843448798900692281231872410246462388836917133134841242707513150516954806425128607238689550147240016638905608345501445777934843891882580346596694359981388274088374220392228947677123087429149506606184155847276606170903979749402803632171001154452858332176973833780428802852975235716023730531376887085475096312997347976409981091323663345230227036918184069004580187446294378995742504846949657283343012629585931393225609885580021724197645678233383342750449415206754526730542207879447663928599606766509712518063508531640621702745895408322919166083996972902434597575328490297106048369079465369281985449375181330114550847566843422714234407954506893144003224513423002383751592614538496247027572616619775369180877276676094463940662980794568584119459856933912248956661569379452713767503697103723139436014955239570539068161679595609436513124130211632688933244351777715395222393371324652212845935408373959088845578222589159632450833480091405407247990165364330391199
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 92 of the certificate chain of a 2,997-digit prime (315 intermediate primes).

Certified number2,997-digit prime
Certificatedownload
Certificate chainshow step 92 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004857160018 --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":1100000004857160018},"decimal":true,"detail":2}}'