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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 #1100000004865718091 2,354 digits created 2023-10-24

Value

78447239015697214141734496274239039403690433444297509127939835616717817613423951269985373678973323098699079473715336826348606561519137324350713316539229260941140644737676817132637283962192775832615286565290291376701145761027926868406722412156477361890556626730701029900241234994045537640402614328685033029546053194183428350500504120939256466706637987499585837599373364811239376145329971204609060744897911074040006225892709473188556796197308514074435278181624245732008685937085441809693840799265256946765816021147636275168357817287368149359202321496126251071332013282609311478793570940248964978632600322206474031441446377105598114337209909510822679922151513781607485566966362398998300515815490626739877522757919317466015590023114367067626058568179012523977491325189116339599900847498459199832625485894208012691870845814202322273022509931439465652626693969580637526000784761145143841660317126545795164083910309344171512405789765791284539704769334982761006383870202288326531727048410621839836533017463298809196461369378831819587389390026741959006101350211933269833242189949446048968895890847720426672181781487758542475209659776974380011838016192528170185483914511840777961911602619810399980618618136333569408438861955958987944494355287699867852186398198503013731737403841383624118862918875952290233151078946708058185504153927040333318251824405693462650409959460289458466357304095732538876224772356333810397407036845123426609768321816106227130675490347861080815892576637608879711185530392732582710299970391273435280072724497916878858240356148432300134756942546795174707971089114522641680126225196689540897875896723844674007420142714841708697047165529861760550005563996996540102071872899267075142966549320337672568379084980775695755884907229677044644968214418845395759751802837943520320517599671771362712017053102713874795846447533353624375478291196553765157757379638808938294819975544880741441745642478544621954147736647553671893754778188434724537536075762282533324228503756451799346135634647339049680553793092066387285070084616179217631780108204145986100901067074348954554327703971850531310140939159309237413383705997605730727730912405370619117596379673655257834315561806660726028092940738909298285963594528522420609751987659455921190952967660217071198945024380258467337110934309346457264607321361016992610667262707854670108924044032034445906195060307793077
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 53 of the certificate chain of a 2,777-digit prime (374 intermediate primes).

Certified number2,777-digit prime
Certificatedownload
Certificate chainshow step 53 of 374

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004865718091 --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":1100000004865718091},"decimal":true,"detail":2}}'