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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 #1100000004815173609 4,662 digits created 2023-10-24

Value

443920526045289280725816279993265079619743529472387309004331863067056493862473729492703429542108801305490829710026644676787788290820252971302040943795470915229164282553595048397844448145223688447638967217567514950388531985837419353473067690997093848142035943418365906368072910087953550904400021126142563263809659125333612276499244707225667776485851531159644700438303396848534817963411501749320347408576755280515910681671541774263212452467498705883666543261383294880395524577379977381660566871125917441845885525320995048411637853814032976890364241585936850185109618453942663634150703440285546347516779752084580514854097680466810562335245975957160680859580307756235183688053350773987463739715759663386161171114622760865654476046356366759885408180464897058635473421316718765721066856820121635591978839037989392467686428223545279111745095284203917402243014257914373338676489044384357538020756543985951879771625450738433966260895299396584796737473038095902010518195139244433785958422053096861826275239715255281382673709312640660070134445779213832939093376399692190783132126912279852084072047589037511355103817424328248292545785977140495013962228483749210854637219666818888389527099724224506444148179188962936314380494808139612069674898243579226366990461721549547029771759828573992290357487040818242759004392964161254441707089908429934677776702684728243610103470906775497036678312245616609557141608481058756276782112822228979167024325643299024856409393020279203375404656430885695897714759899036956600989376467098020761118894268789873577201494543029558956466978317532385724125193011109440368095745361817913167871261081649340488228634406638902477572123803029977861884348124902894406249425830382871969181697359685361392263051915703076358640653017476520147495447402268157579918121853934162443093229369286213665613773497635903818057729097709313226499788702933569791068285596531197146240538172737906418083889882405018604969288167210510749800150771082157966318537253081178174625826754598811536283152534508462883861410937066133633353871324092703170299556312365427464922066118087390636134187564675580081620902238641429551151162403174164752480670845824927158416226867229611734569200253283947573694426605570999812055205880613930788716118450760408773873008858103166521140101214518759569322698743279493534369334114855298746239937914427491476524171510272885003379240070962588901687576743900376201885190270309208398538962918703933813291182094803913857694296123951947931639797848740901262606908296183653263649494783712243645860627913764302538068905194591253934952052312735391850170719728854511201208715220272453447225789250371612474751372913301656573232659167980458071127007005785567777712152048923433585522108657218463576866943459616353048901778442778271566869250192557592353905467146243722795221897629626597038261746447087554902594765954907656650292601899514036170248928934536715958512235008489888791075270612467248599233347636314117926983938272150756461056085869539165809377574196684964243444454260215238298100643158749852207801740018527800346329977235177762824128679143746815377596724716969215312707778468438596245208989865378574651273698631810739369608546210787714295924534723462622027403100703091728194622405516527277685363973352402427537372082512830923833447247989852956716192738119641923138949090457755865785620362229703328005526298365654650500916633385025772687860224490507419992418881145707545986618467404505648774741036701698615809702122493262191587336072453566335112159314751554019935191721202104717431300353662310977778528417229081854175111041705861152266934637749196951875028092372032836665088646019567948184426564310511036388386347290087970359930554125760436422861157200077600635231551264599378169616565635033659191502166746168765621347751140804235197982131736182369874113367263580167372820487715825645647927680967193890259534741344233347154294817164829683468369525969583304855612012864267820575511935976704622429145819271761130309762293495908256219527682868493482047053334598785586271559802156445401109380409482180290242724611473206228526516237755953330138771798768305092384060944265069662218294715420243601568524448164924735758220682611064524444761492991770301240589454359640835292647192009899639789437021291061388361179914256979139390058380984654997863268716890158954161071216281381765442686966926067091695623039455039922924364279214144915540606846895767822395984955545955258483989019365357447789194135231359545338600912122431144132505275849454868598973135045463629335448988211680838916567102904737178946148997782215307508712026511593611560015799804391787866069672897315916550702408472498778802885142211323366287001221170478839454506510211938732443311509811819337387
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 85 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 85 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815173609 --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":1100000004815173609},"decimal":true,"detail":2}}'