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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 #1100000004813887471 5,656 digits created 2023-10-24

Value

1995342934766143748112662475257481839167382590579346795502237148261455876459835055150403947726202622495965439736234590918040639096093971724522654590496759927066467009922138343616899960005926568150309336937970351498967153614502354795247583429429593509739100070792607171287136094602161225007125037460239513883955337449268312116301260435451305336399221052930824011964646843269119335170679194862162822797372669718080787833210230885726334040724584276120528066699480175489928108108901192610337687559743172081850102558983802673162253600185857860069027106232959555459169614164402169481795787918757424900021341599581981973869600708363359366740224782274153773168531183561070374948867782367563546247085961806065171022263573055073486019893407342161303329245515408637053634821428457144899119462026917798262471682825646036808839326339177092631422545572561518452743405029936408110463257864553174756676813204427462887615213219690198857263476333746658533171900229410233829670598895817648633288012433786801156064915283686746813913416869769497834349664703216289208221624173423405196725635988828245729267816710889738117263292579631369838665008463074161590052498529979014462304104348571451632474239238434964334595545730894009045770686188778335761500261419527485890108091141529077053079100167023580492194435548651759608262753394409498075128688233794301810835119397315011388275642348191735221286934309136844336487767922927807374294574860907047325447960385234260180225952706986840114470341660145304290066446751369144909169516021165494008580385902317157736323748326489402461361308949683628267388989306227053553600987923352306848361547884227023460018378263170573083773526756183227126563460451214388802725727731469032528876707892171974158246693171432352128536504361457333884676921063658140724525778096325833536258853208279085109128831192420447960312747178353097536008601420471489541557155726657728508948519030122319169176870082951994438561179431694419179425260613152325218033039289924107307697670422307858774221623098107546142227291373625529260766711988329989035411219075238630911944244456881027734513578611662964571446639963044364460317484825737375259680616257600124801977908803095026738010887523135897590084815204490815391235559784091235627654987605902908897332994852531615355525486741963037893469971594807031415216613030096404332784630746285454574333274795486457301182860883577562550256496505009966007065252961218473552662602710981760697240863827813883082955388411281600551241081892955623017902518680633631248924674485501260470791853441768980671284892751347792669852287489015889885992435053327603565231931388053404131479173720825952037061821908758337653392691609674489324750034203858986282894947151580475993258304582409715354347588700706631049725058756602111995256728284946948734321340358129524190928744008530868291196276164576879976688790731700884671684309877660512776148899609532120720716984618587105557723216665672104000143472075181366083809258887592316524477644725213539635752190748927735843081173586395839380673376400335405840188925189686146115767239993402349269674772917147995931644321219183196547994990104529739058204459718974606325465506521669070507220576979767601661532822903970524578025406151305819362258149070535012243329734151300558619068268880945870698523265465866968405881809656002383448773118422049733548395679974293723512465075552493748722381299031357114244611903861058208985603413858300611555941800407282156764249219642298280662945041889108428675556059378802427636625286834507686819851584693931140927187239909950843897042373046154748190652988772498992748827824612275837640244006747611505408210363430750624336413003653284083684331955423680690951957702999585459006516326819410621263082692735810471056367809117305647045177194244817721182870334717499920265873834393506051124468648067658851569887498445321062435993459434283926197726475709843621642911659246689531308845908413441256278224768890649788493772578299696316931959957295845926902393354349928009141768715840281183209907407304357883258116079058026690688269697549270055466867183784561336381315096656196319590046103718402490682889362772985316327623906542670104656030087205649094813926732030461322133598436618576088180710084519619596245639454738337942258615669688990218588467100092417116212965151501257399054072551292321476126107597968120692337358569053064463796470805369837109128572094620869423381465278490734397952287292944969186056067432742734849716537251452348109583377878784928725896664062888633177741604086277459897086577921335384670468940274780485738871451742400177227029587330194331790597650809551744067825643115965095789128483953039624077631129924699849475242562563356929730636016094110614683286456211759068841234529560257035445812678820031285840914447117985008376925681512280812399110175927616334497644462684180747476727594725355925896082134858952247620461265401852407851141820035272150479552135843245210392031519491341539005189472211513514683483258182933569044822725051118159812236221386238801816095246091034133198028426076322286497536720709230499081486743393524365217219612986582232899989704708295359106061318415292057693108890246161591338131967236346918762416001453584570397776123723297798398757284596986741325030949327265215703347462389311676121885660346180053139010467281249913758082602854947675744221634750871218731031710215786075596690184655609288484455819594066112162520255164731772949296886457646799780291417551795697889026123959632382443222214011202918386583022273950263638851143257571555949329750482794002005635616036240456834898128460043165930716142449913881335115157368803950252635865854339434234594567057044914565833091859142137283005887931711331447168690424262749436869241729573713803918541
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 6,064-digit prime (597 intermediate primes).

Certified number6,064-digit prime
Certificatedownload
Certificate chainshow step 38 of 597

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813887471 --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":1100000004813887471},"decimal":true,"detail":2}}'