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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 #1100000004851076978 2,584 digits created 2023-10-24

Value

9948109578494809548490546227691312225291979530358544226564403014680536952454855084755425009836523654876988584135919697874414519614715216070938769511357216795490421330584940379872670635072283918094642319503362233816131758610468935706379784498700687224645557403034956703940606055065039368731219257773742080384910285334493103608783825933495029263142392162580770793053938812482247504679983189936853140719480312857829868315589720609976760749526792304563524198473511130438379276102510310431297649038863987375426838527876281874619177872850841946491194318844252011255515458427691940469693504301194091535989598535929008825554140931232002240479969165437468690875872971438104642938963020327796848856177298650267817959340448584847120737480329243469017400133089022744190987648524361070915959732637242353491624404148932780592204143915299559954806420984861614385111039274115552739525770858998522648759288473982386560509406611033818080498614361255165373008887481217682823198858441199788964426804414616532870879150972527806204964091485617998078677072475282296249001152130189565361500975055514182568783851707366819866417393782387742791497780161605629318806868033256389708759302214735649820350160246563628344624216223722116848934168300445987084457711208652530825997383850408313693323201852444250988389509443977112481972623580200160202004644185569981061514500318829392994215759803798802676845077892841154132955608327755845612297268297430122111782372756213269424498922686714396799556700052904597941806783143278261155734260427055032660769831656843370746329998260680327005346281170753729552968505390891913932418431718192241838533866529216617250271303887305806137380033625477424515071183317531237815540757080961339925641977521975250733810138806150586870213004118249183327801997884890268305785187955126029709471811291020566054840931222460893168619270203328446994289343183840315920708339340159416646136096827638531242917339841538177702751812819581880223515532327994962774966232585112385617618671496203719465308889363229148149731202771283693418209301637969441176313245226033958038783725499007399290659812670775466707314102361405911576961660384746539810324172270195903361540224361735193654994259041104673129947943554491381025256915976466401078878905576822549737719976183952081350726515949233582075126103096545988550393955903920066040874727125138848277154854390216437525935875514954677384682745307950868112593871472461112705492910427234731012552678371106567652836527417539041615355432837233694770107728152428762107465359049753903405227252225884657477442777435286883164711250026237955122424947119406684414733291391
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 3,208-digit prime (325 intermediate primes).

Certified number3,208-digit prime
Certificatedownload
Certificate chainshow step 65 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851076978 --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":1100000004851076978},"decimal":true,"detail":2}}'