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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 #1100000004852663178 3,030 digits created 2023-10-24

Value

539482403402920916265084196946970167895804797829738754079524952958899064838569093005600580103138831970878237098956235535904163988579999465097060868034384764946064401860795992765158286612346089972079488790697424898458419970470769576901476062888776696849994067873672746832125994571257034506376338823941428983693679142406557750269325953254971399680531816290131117976160617544298845583877418663391062452473263054830965121972512333557852996090428032028602777806670364313588452432282756146989074860477437709073480033340238643609796557005903180885899514241305973341859687165629769056261012637293700981993688680124031435437066179631179915013733503803518215361846594020476099367989968336134967790295703836302517712423663928525420198842270532006761293146922195124030906081002850035277217732261578370402562696529003916969356101029631903781379419211862441147251493105611845633214293622952799965915040950468121385460593831366635164328013936127981692474321052854690496172487067528046231430094321869616928389760760129521063176792815358208464995493779853455279320162344450730764885371744125138746043920993607023551756135286807756534232046196815224390566865916438160422735830153685360994384584855929351097161504257427265076003884547474089366745676189471203315032649740359754979646421782921221611889833362984195349856282872400892393343101216910903838304846442108542512222546206634449508948531290524082537062840534205175230426610724630940184280147571155477427674042725288713430120208737372477380543038818464734986053671033312839309471669891767517380522470527579882446417480559779254570290484215424352382095909644421773032367394211427389560673021984010149736919827253604076495041456051307651080283972336024505649312145312981502610431742900955706066928930962598585880394320483799336593498210178595563775642908174469568792903630116543817944220806688317608310532355257144960733789164096629883539734563674663097985520425101247022410001346845079406634114110679226434795494270905559519204352531271551950992635047176912124805653951459819247129995484756278823659295738191388221419858798225890961983080484283784751955113755434107575238408493077231618520816816138272020875203887800020364163502410851566627133987451282283683770306270296391369591354708144140656436249939432275116901107212008095480973051887820589863754322879965081873136487910092714416043226432275925262212530372375817876154920183381726674048194990396477814653678132910577679486393144954726056365779054322987506878348103936195670446328672361812127735287390782844165875261749465567343302201438697509112743164275175149018803545885826836690155509429140245482567030979162310363151258784761429213238897577024698663184396660350208068212906813604805647800033384023536800421785796651108543666651039945933660353507436870259914819549493832233994286381466594392686647527705386660863896495890807956246784612727695712867240086412571919254889313091312550174136404459666997953790944146822611943857314023936934891505181504130270555926863825128685348484491727881702450543008715104536371916888573695294668148576111
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 3,144-digit prime (334 intermediate primes).

Certified number3,144-digit prime
Certificatedownload
Certificate chainshow step 12 of 334

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004852663178 --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":1100000004852663178},"decimal":true,"detail":2}}'