factordbrpc · fdb
Sign in

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 #1100000004817605709 4,856 digits created 2023-10-24

Value

70720754386517016996788435504115087466282748154213119983262464849747365476506165849047370910066260094917704273215364431160113851252728265587243384495345998417869289256474729266037701837264233839316620893063575361872350702697114679449056073589866418377100208067566846411802049579274743195313926334812462475900238855996487685093007046437075591426078144803974036410224213171006281680804265652720439117608599230535997639939154081118507001680704723423151453378028666975389511632475489332323889382774084507196733086146874227185023950283932145386506820110112377806824431265833035551782887499217251589213232212598654189645539560341523974460184336379297420294726202823495877538323654970180747670175349337405000178672583045102570582258874870438479000516247041604038269045271140420749985357066988805048641528657406531499406426445368476745551749962638728007705349600325992583961834759400618129701727119620993193176007305323032001155369518948240594471276740656522630775549667460279034564976118959106822659003188870849688257064092493706889511107094270676405162626078031770208880451572189098558480290896809671123267533052751666503624120865328862436450098325426791483719721889424242994301830530751800679296627380583968820371877970317555111118556080991602736307407749230113376999650404160954767248685659829884242222996401406959091877191104087145363711415296246676464703937449991559244144207253919291748332311299112661733135909923046727331410678059175982061331129765387358826811355461021651247244854632796411838616122441437831956200423078045042083967245427362335448459816202336874489164347599155884052129488704230547837149509270915825108305925078124180124756944790078869085371027562565361958771818367244337483476563706553502613184498920971483498672085225892606524025135406531855659819255185323018481008451308651423470246286411197479069927493679987970439503688952523690032283440306636434161043363488523248732817742927472863038867414220365892074794797344823472843533877189139639777693165938117947052515659114824394256756888239233600519124849211326021696924379895285466132540498031093887727123142093646320284273755035505002293353013044369337619165308794755281132003730041346605273540567997646628419854919246952466498915223494644414472961587129813851535783809165526986416735640563199849235970161831949889789934397839340901627689590676302852628653394724022278480707435006736795343154116431056426490662857026859538431095765591389249936012120059020537330657709110381417681993709189919096810580965010772469521931235528953078267461280082604373309823795175822547856280724140419460562330675093213755164148173307159025918790122984469827908896854954568388329376337000067046441888219789408641416933779633593643893612011931060455946528551041277992760989540458579316273013499555582067926731655410710078976759151848946463170511913055214298468208296612183293876071182269961646776072869035111725864279114539223879990805376019053396238267628557927562582180037559315888616570526086200444175794788146882793165288144146955665980962744634678379396403295435482652922167069491749761350023990843514509727508286314593866180764354835275844779174411957942455166003012219014233415757222781665835796322730985658451794959414598568098791324291774443057329135125658259674957268512724401828447976817371296503922147488684299346388225510299118010253315099651291145570193546879913118736017704825167137916787971270028219965742461641264640970543499559201013418057355610054456623130150210321874405138264221099046808853676579442066697499873423002416870517649136150857224381069526508714816448180922654444473837559143787256386063019701514374250759537882660765499175796454180801897396272563735452008280360808783525262841806292820494328347787436932512437595339223861689330095279602121364277708420498775407310990949374972011157821931503085659584506475527613932624769526075821285515621364468675958796520631045163267819816596248326816301632674020067732354804645183430953530759020647958395952320905723031572235783260934983636385365473379303363847714433596925276361039587593577702478964718321073567375372859457585249115230568439750410261566959123323116869697916954066193481379530653342255267489337916551379624206338341695908544752502172009280727688325350889296398514458132945909501389229912803373182582722920362746911649605454969045464903268179016149149117362737814216216145849638557990472987162247674046767813829009011948444834792051600944943662418303173016266314540895658820504730338218553422780130212479262640571714168854577993132075335284387109974188907528965807066928646961149923051039194867271072202564266007178786454156723671853030041519669645136527937949617045886199360864258188972747601864530504080420410686045422437442631521231683605402543337584227361607549958788629583473545518267523501424490212527120520063035273938882443954686637028141989359295830123641957662266630717753564073755680925142775488295188052705098517
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 43 of the certificate chain of a 5,184-digit prime (679 intermediate primes).

Certified number5,184-digit prime
Certificatedownload
Certificate chainshow step 43 of 679

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817605709 --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":1100000004817605709},"decimal":true,"detail":2}}'