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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 #1100000007734453033 5,151 digits created 2024-12-27

Value

317972421406409905132462802157800417785425173536201057244988923442409057769366618428975372914147750446155009882655713739525296686151132742373577776715097357983179306840517003509803701876016349562113482137652447481052302427676791710178191992438924519542820604464066406138850106204346154889199542712975843814839280765434231306990182901812336068211478866480455414809006467471487249707861894770055750987839222802330693322660596988144923910218473276246473639232581178726085827360748311289809657846294717317592490923814068617788925335161682660202718896953034644940509449382244784926889904743692146323860132605200329212532439382661686158794692452305185545479527490564801619471254417747913663414034320720672890258914065713393152327061281860160820627509805133874360469063467380533291913088533943685126419330247412818734008020503359142791534016080122739739592703646704073119110925103387616540427926007587878199100548169114735582766408029176674809382120077621695135269606445177683520458232621504319799937097131884250124789954778946056425390762767783393085652587437764792653309948111634877293313577932698028047546807469194058915845321587729104343408879042341406878321314766110236716692972199178036724147691639207472335774527780538632759290149371206767741025560958796309880100638721888271843944077129728719756946902730064272816178592417074673233089764585351732601943411023673585905811703555427430347730004226973263898801282825499947040542586409541239495079937335548793381375911975666106240818821004895827921592757059259215812586785992050389826580882687157258628111094674234701491744471747594981253047719820573761653777074358699667154970535166758331777304885798443664960002974187432725919801200825282435715530246860268495659744547837028566704215711468379547827377238951166769511662218017924933704945111180780476281111640299692294189288132731908133739604594117995378596883335872763258076478513756945128779340276816083956368020885691608225618176353605857099676616368640954520034330188571913045786227167710615717951295506704342681540712928080403380016879320431839356043795472142683974219841989028714375016765622316543407660270268711106986034587952540005974878322289626375293874614624498314601215182578585445254158411957291493286728274366663633768179601214436434697434564921495662621129150388985529660454137885718302248928475145601558176478067628597467379979603944326746091478012796150155600314258524138584642360658395066401561342431368813342922794787228296841910257641188305490752520929199132828812527349870552048791627570890193747849975421334974561299985657886442399667604892125478866238151479380780025816212093135347124370895865918377910709189820839582378303160055254121156473093477576682909689240240547693727085146761145590073024846818460971670519402929636213724786434598207522267162894314899493952340162664318167334738308956681759495915359087843917852008526683046338012430499097946478586006249967660379423030341204759345769248959818704337382252848641511135692380986595512570695324415221367099329252719206566018057652189032441568093166461644547509921209634377802545382079420702632599980236945626270791649281293052825944754904203636852328700828505095877229996786517949915034979532219494644812624071244424880356930729507922853338277950547341881009954363002146856640069760871900950972584916557601914355189354835452675450427416425105361487968643975973657465783350851009873719448095476336987383308970379591737939364402169846224770929866763559130538249591662641758731523330751831722551759471099106094313084282825648719111268402144621089343590765040087437950483110178334045126925081687332534020272759365690561292527567322667833201192075015586660248843972860458157840765587890535861813996050411459588086010062233809579468543434603501717939040325424656559708892133516100631890740669390942492177148087885642880989745864446201799588796627605083653056746761097475195663025215461986402735295573983261473208993761462843554084138761682759600856105651440419843471806008784966347697633623985020395000992095976897821600977154987036182226188276802325346015679660054323573979047679467439413181873613700538821813323984486129556442247470836821837004127053278292002399130020146990852481776985759350935446735555738640258603336037099075983262476333674465279551830052420715542402471221564896036463114038824859862594236186161590669393505380011172522076857518888497239069949109370760235477905757064129063104014130163781317334071387446017455662769072702078024333894143949912940501257971142554728547847687139637930243613667320287874008378865088070920900737734063212813759027932197135216633417151765999916560366907947879826148401889303066177754557001415076354364470138486495007388684446932768070478633165516013514107743945861984183601906057578554421372298983608573843119264805902393924739710844842903262153376088517818190535254942282066235989372388031275674917965607348636155394837620442735936369186854689306344711821295076625142219100498717205415724419483124510786324731340824739829941391209582523362670767894050566188466097181341912867263509763172389935423351265970306415557140621960675857107146646832841132935757601474877666576913656364052164375397809503138218840009316530969396851670967677647
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 5,496-digit prime (519 intermediate primes).

Certified number5,496-digit prime
Certificatedownload
Certificate chainshow step 32 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007734453033 --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":1100000007734453033},"decimal":true,"detail":2}}'