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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 #1100000004813389762 4,681 digits created 2023-10-24

Value

4103111823751952849897333007110945947799561986228259293649564688042803543887047415980392554974373958427950464605733198643711925630408911528683794640243805313367319532553204818752005117275019410179844082709129555932714079766862256605313633450975565574030118876392643273455327481633046030704519031504420368762111177756462803704364485165507770697688229434935631843781520091355205372876171726612948208276438869255431080793135058098377722315220453502018332134743725709391072055514263097639003730094813798215948982621079955198068911173369985641537038530922599554721022766724566869043688015946758319649580645601409219974983744679722678059370650121668756251871758310654567004628794607490730127235355378662888911422751765381411540547379711932027882944088042699731070740143205725511935799999215413280646885416858394632914794565123793481010820375748455449783894668822610585745367642969642792125846121741410879300600165048796196517850993584705644662872608865234448726335752080104685219023322176839122615161327595363444308324154892565352575562797579118664697177639468361632487436695531482977935264469344169153373720504421018296255848864867480040584684853887809865020337780039921629636899444505941957913912678806412913168673629024606484424400655332139300727554436974202790108448324147621734166760878411935675126504434811940429643053689034760262713549562951953157833003095664912538326269460691049174583024139010651832826357716311835556219820010316067534391936136135113744026777068554130488995366320248090008970156743579554424346207530056571749493222190702127452412379332015392254862738367305566149344523532059479908811960661060971442243911506702751332022773043732698624933256471876364220775108311782469905690052394137538206295962550993468855804715446119202034011527445139873730992765149159862206180004369648071553048572302651440545032077801822583078425993884004003723222739909755711248168588964275130359953844556063528154783521837372020029551200259238542887542062780003674315946598523080128011095584933976077997358954818850392044942931778965919132709178121984261122028427978132753721787778648529430523010446954418580933904032484743574339259915555834211887758216005859675342938539954309599292089360210995790250303887654112879945860149619647457563658882521644376691549080538096649947231939106081702665954627987866415156446287339040056279067347668639859934743602210549339072346590673266731000681707157897977873152636829920458643703371218498241387954515084139855925592886410185724288288989040815365996752431137291254670862381643060424823368948037963536592720762805236028682240633534681902550592056320609656760006441342438889985154448692437031531208762059259604062068050902729946413471341897760312773970554262120446840104518580569678839585790910403437981921066614527916885929520489448244088912176852120714082034845467860086975074721905681093500624825666914199748983719119621285919344769712165464873994328869666635964756636365412920932499738075948508467575751541114400987365130861558184170899110331811304370069633555461769073822003490000970310846607789285011209136547182141147191204124063897438502306362267033557186090298776110223540628633821284370874751312714921473721208367430167478177391606834590156821148388856472234591784298760276473011021312935783539531351322659587289174926357136372280154165902395356230029360921126325805551003226618068048775845310373540728224357059529378627391786363045479472886709584374589343879665323773361145186509327601302662720067759232447424000286393225025917337841994819078704976155297954374240957730045711311143610447650531113378503221867592474486158881279819625796761064164760385421759389914600756874260849391404841977827033380697497141364714415371084758320983743783173977801930888045341012252317695067976919959031935971864648082296527885074274721473116413316991932955754266088295998479299497102664760297221705867946844192703557279338084781592179616455264969463314648818398703986443892912521006321904069726936496115088381574696228565761351455886820070371525872962232818709555736547562393556516065803096935331957594153043102949766214091968232192357512263450537890725356714445411282752507381727939043083425426157663202541783787585408082235598391251836910486045914177083934217661200722789783100520125657311138622244426783532116668338941307271976015381758403315875583865228947669563652873536981890525127875855107560992113865585329784742235245232599418040812911069546190720447563457125074206411032341734382108178960427419879379719178483357858852883277855992671524179335491109680268916754126449058324375637018980225375796172042671953311103974608496460783772177801970870652809311060080038527704856309240053389610877264386075154261527279480493600077375155431917312770433415713
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 149 of the certificate chain of a 6,405-digit prime (635 intermediate primes).

Certified number6,405-digit prime
Certificatedownload
Certificate chainshow step 149 of 635

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813389762 --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":1100000004813389762},"decimal":true,"detail":2}}'