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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 #1100000005243736329 4,101 digits created 2023-10-29

Value

113773327203593691882549144548400804506525424281206241934939608545031078589571632045496513728570609693639657420502918352847540331564776897361135942360243859805979222681474602816200551665286757876805949697082153520796991827059021841033285023234214218991668783707321934262938452167819162472843835310743728327056057477932782831399755254825533851181246848145609406681720643519685580185605443736225599072137227398335840190917894566208753588586883461701888249075861983533874096892722640984580020304778621865325508074171316016014640647850947237229827356344627302231771232133644920084184985150582610389890236506847991817018551323490192429213680915448546028636064808696715266544569540335690444602770739865663452566129808804824065996077563764329473012631899858170188597755585005327952655489239553439700967043768574479655993647655572758804769920604104267013988595784268431651971917948814412303617058890360235732960824887988317528781064053435996119814587140514855359805950867494717520294214197360551285048975747213482986996675939675705953339321195728731617249992716017911520353181772286874149069357933618696768157768971380452609798998543113722433546329177029883193607421071849189435667188025210389153257800290089864617279921254496994923802915757187897256653458357999144788914661630293354001399705846239874718792884887671277604778167740090392778634511381940489157252220030720203629915025387619225596876495400944090943004864053326383192924021863940512061972095185718130478478193006257658443750776418499046635782973224064127116103669705296915631335510870817273682467250806247148618938976070936638599072421027568296462982592487192304715313306133299586078351311950774748509165972399206815220879288015199974476390357280707492872243840751601861673675701804129497399268418623813453797235368132802870961310124969656669552168065605343419134762887747381407633956847558438662481565294868011020087179562680394995046751714721598561075660364268511813017537760825829278785934786926326228898997464847298756813777845682813600867842916795163346066531166653264591554800586369942841774319696509378723020669579491597059094050810701743441260792102984097715069738974342982538861370539714388268674342413595860909333167311430029471903960798793664104856959495703312399999511890439199534608222747371966694541546099600724355772148413533904667271499049535785585005651249364482255149967115844442647738082524695235987959934120368010047703407194598918676766865794876719739206208903947350076886303873801586246702853060733922081667027955580868017616046656067470555999062509749522937357581375348805537992185922749651312222860581368978336409779130295266089027179490008654433216359146983243710300261142202390259216023204913908731070574311147216509704879143049661317022015174421127945084625615065407614439227464100749846955612760982583252050633957757086664943076358355345252490113624123932140987531891097486404965174500790787969666558524322112037556485696008579138805577284127204486325269630632162459632851797853784039164696233516565857256803086903542247073180717495310600132502027988429516272938197012088740214841655879252047473569378743173806012306219725935102416356708072303819386725231583672706437205612707354272728470733701688960132113221194240009167405299192382803121609838706874466811689160871964921398361937551241944132661982062682335027132658403605181344342008891196103823978865032334801533342483473061167581680298115277275690648227561701273826017309141334897654010347785282573324093639508630535566363180682787040878974300324958791443304969804056575571586112172394884636171309840066027544109423367165889200848447534603359846591414103833196655603080859396386647339869369773362594133715329370109388062842587023538824772079720787434892216521487039657568721600803610071958452755789391139387757852317794154974946824344374321211656401090585780763248244180366945661463687358644216473420580462133607112781744110226261047995472402484253092524681908834917483720779040819741170507724745880093011746581254795157146443011885610714227063121577128552608221723426932537533432508062718216355680868900568045219308079817010995097310801315809366658641952653800321
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 4,224-digit prime (422 intermediate primes).

Certified number4,224-digit prime
Certificatedownload
Certificate chainshow step 12 of 422

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005243736329 --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":1100000005243736329},"decimal":true,"detail":2}}'