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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 #1100000004813325554 5,596 digits created 2023-10-24

Value

2162066083565816396385586771172751092940165430876482404228156438587000246806120605345035798895810549346918084870702456380278122768468533747613300078450544729277197303898555230933943910681563965657544570083490090751523084406567122796463068091629250920744794924803160558326656092968676845463995244331300544428556140536022476521450459182477241680468211105433729517082444537359963170554563324897141316459410582038242202918120852100305845122646634318852782880556552849850752491005293821387664615881523640345870195226415199950402518526559897956312971679473033767802526908960993555443924265258271016616079056489761151082326613704494972720510624814427307825925793412410841977403442116744424858030360686286589395586971154643451756225123806090346074020246458603212394088116099302783567209227167053671320780687085330231202807702719499287059746592847186379458225571004413939432425694903381303514886723957007659180674574223588759586800462140616282248456111019347404327837338071080754814586377249932350965055894278228163127983564011634829370870952279121549706040597894580203336491838233550039336568943149688838080036253723312064928962511683391329271567503884109065408702096438402612787037106612100119360763327493706743649220733647688527926584460209421399980122774967614590417963649088704262847795527071069840011613959642550186428995329746865208327871102164990343750036766923101333648408939130495987556644512780701788105344521048291059083990016047119237467481548540885429232600651519422706728074692622680307001196021064458242146309188087639147361183880582354848262225302934581253939746001231513581690152542451597821137353658206831791429514186103497367504731483169515163190296612574395120168103329767966530786773398197010069857120792658171223702669041914040102874118499980528423990427573307826357521385313638365870914407962392567692426628823232998983585157839273427418822599831078941796441470245442744909377981889142402523694760918337781117803037124542590439987646104611379270903100369371222169648684526175233301679931514372385482494063374695650150752219362879693869490927399138050491583294040615404533792155303485864059915728094880250683750321403109691580152822873112263781274754395109337227842470183493138025985543994204479826471567067135984087859249335987887571191904988493884109233309556591534777348066882208341843046256791739745751150981190098977811073894244454703198530865289858979311120213191574625364798136444410059022845507026393538858204504977401626617520251254513189295309919899365268089299036823359883533936049572236936761717597131860351723112892744823511643242804080357853022654694128559668071479323165188097341108070933202893887223245521553057461358612704636915208319016618331815476841279471370228006873271297589492676477309557076743083252235115564324749026742815711112683219658600218202508132792579582289491008125361705066800721246605892358738075451592685500180501389689879468608177795253285166557070679340786150512551746288836671634803428963305118160642242034402027440627663905618981967624824285410329286531588710823909519193915264168830262284479141271891139647083562428631031273428718971105801754566836644432396800898904143743598387766263202318961057166808422065176587189993663242076448271274602576159678706348039486959128655141221691199862533809134036752628528993548423216515095531904338955499717381637730595048728293843810477631434260042165542811694668930130933968305849264988021628191540079376915794070433589432900484778588024285860182488049148488902640965933435269603614537717349648742592840403654321510845076139734671731953602435486528934871380290789644348448890884786794964336234185464003857067583384335249757622683799767334555578392246018962764556366242754609288571650089400717817177049423681440413382918470064056709325854282190000697127426408176678216546799422113624730746832440194111464332126379876196383283991940226366967553968363629268731238770105094195281790229056768054282995672704804749710884047692425226538198437858955147070101508876944342891012354279640373218859410738792880025402933414077910204745648707571224925850535256351432658199350672057346838847598183527275445706584525960676704885275678392742862761255794285811121587021084818610896734023354968436478031759410042970033872250791986323447988085003252862796673242136669112450093493355434365558016386189958882707345138062902737311959014744744776352191839969776287279157865821365136243984833867464914910384444989623298776843767630937640476056075907397455272863453660476216170052378995893149492118325185973707832718057635897400979792110780042380576755280964199168889076968409437436680613655494032702008689915409412036090474382044962723746468785944718306819434572527444906222055812496642107350513900454144467874501857435070534631229153896966164018602981134967766967927209126655732421211922739398498484706337479423636027416553562883810322822359625365183677978320127221401300799317288165246011223457883013075234273476534904561784164920003250442947222034106864387577988539795817954630687584838608098034046750910541713261794269515310308028592252422100043209818922654831210522206084200383553887067275915390439532620936356689344247180584043924675391663780481597834114161168642227522992421819757509436999920211191078640280859955769164114228693889250734664994531712841556426084832280419293521516753970543035604091070283018302854740316173332980948062171783561254731521115178909240853030669345052674623002811668395563481116352968076555785233566316290918145422210125137351429186000859937083779777897126481944341263929946561366075479448857795432617011824234563011076336368597952373313087020766716499376664069123516010974372983263894614109551
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 90 of the certificate chain of a 7,000-digit prime (365 intermediate primes).

Certified number7,000-digit prime
Certificatedownload
Certificate chainshow step 90 of 365

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813325554 --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":1100000004813325554},"decimal":true,"detail":2}}'