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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 #1100000004856846316 2,360 digits created 2023-10-24

Value

15789706368690733081491952194356451982220584587397483229202159085167035441297035766507225003944288309238127498250940999343456050606053030951327693028391558354630133594272161567036769238104312543174296908636258122071114136037450650374348744060912765223947113341868536776765625944192958177425236546050714849443203592037116518656127375379968280853030580619488934928706288601095815782347604133671208202185264708570712241847511992116491670066283009470662997702609222542212925434889625000075532233320539314069673553644532239899834123185170217687339873327262452800598769704417600307848260389671496640941965252456850062249944366186639382421294936979011061928579615480487001399505995695520631652941108350180412150334416961963334168720432568607233692995552581223661392644158219684654773990235314421635462330779103482928874350323519491240676333052666989519094574271667428392160565957810331682233801957387629704968154218712702895729101233186810911917237895166684320512951106978885968143426329720234090981749284358294496016806826568687020913794458692157806006221992987852188094247243220028242843792060901918998724002564129182720513859667954361411303677444439558983078495849797465202661720873083271506486934489549897859665108396694736763872894411981593126402232455455851889933408584260625878827149898740890424711048478734223940677924429034530760337003565262446777708887249068109059131166152707709401552365319318151915974930953062354528377064276103878128314305056901823066950674471769755615882981063063212434155694795141868336931987119478525472340114042238035923113490024003285849284358051941343821943062591879924800753920392542574269070797573966379187399662805299044594087791682557979123082674332135333736088837252775007740624538011012816712935582300204481197510990192274836071916366524642184641402269165743709631241053009757573097461081002117838214113349018551466921231926418709533854997196009458477764174338898816019236123213471195155134012505578666767504901743081650740940572805868022641638128211890404649336171927467204170083310176754048923279729198473909432478266039450377524682976458027133304357035947982200494942027449921255487398078921956776073285378833679254613539686691674786628480019216014984303008488686551822859802862877495766918257950803615891595422189273579926734191865019811918729144730006428788689490347290833965926462804491762365395592525814731469304400173
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 2,995-digit prime (317 intermediate primes).

Certified number2,995-digit prime
Certificatedownload
Certificate chainshow step 61 of 317

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004856846316 --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":1100000004856846316},"decimal":true,"detail":2}}'