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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 #1100000007040761757 2,032 digits created 2024-05-07

Value

2566819407873878171978177463553946963296341414331275718416098088692655651296371945711935183130747614896298924903178737164254218431663031689300693195131289163088422992354484809442313958418709751766311103837592144619497863377201855673565117519293781154916804038662876823491444940178174599100384285404839621686369002890194746839388382735266203496838340579325909803221815428080801778138535775661255741255185273650191602111498111566685556530696051533044208053170179217163856663752743023956903105425051876191027697165831354387136968063690095078850835653707610149224649402632628804630987577169624974147367537987855976224732008049148297692277444542587302993819733031797621345242593299782553606952040899618292825304173942132337494738210286609689680986086509050051034494632851507574161619446622788947939006537251589185071365483703444953650157729268260765892238512022962686829302088920731965792746122958907507297847124396919575958589796924595153063574029022770079722223952251656825431713030217550263992382237856401198385495244540630940444818577409744354160743401999647812645036086751866480368141169354172232929518486672678182136866150918535877301129451497486296488632531561584596978989357834702537896934528551102237293666813573486350103597400753752116564887757413607344606144285715480270887710426839114801912888002824912856681227977319568526459096965116736217730430775189023183364396997839597004285233974137474617447970608756671253861035516460098563406219013481635640422192060391442145778673523412112834364302233046706526244742511238354988653049384906058027623269183368417753987853488686801755166755221311077224347519794804695371441073232535874726622913783216249839604181222433647705112373208154600243666859630174444851788436323159851572348447450724123639441301048706774813406552560380512779939269952564845042627721976518777596429650307864598972597835594653918925321820235180677762131760347146796535649028013404340275122713365972214930062992862807065077655732064186643261864623665431694973322906761681782360197694142446378901202649254991628371
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 81 of the certificate chain of a 3,142-digit prime (231 intermediate primes).

Certified number3,142-digit prime
Certificatedownload
Certificate chainshow step 81 of 231

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007040761757 --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":1100000007040761757},"decimal":true,"detail":2}}'