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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 #1100000008649183568 5,219 digits created 2026-02-28

Value

73107728129488047106450951541744276435632433712199090246276613084931472742853852590634665702898678592296203603746403346811568682389572440658283708025734014976009841697782168879657826079215538133464171715724824939098644425653100464200536287612673861531618988447526908498604174867875445574857020399492149228222905756581227994130532510738448957770034306370903496748414301560411247362737153229769151591845844712319492390000148907096603909239332918462595489460548198643645515243003222404549697811319776079483597327494977836451803328763024245911813528631260134981045956818850721791270685172286144728218968760682359755907678390882651354228324701766774193413952338034452280457192910032859445905798994559281700954449447643883750718308608201825069239016900736852667735597238790374606156527596667334575853874277091483446370813746009783244596646376575729961821053472448038780601958401321737038092839334039572455530530297513121974792991665746329969757318515257479901845999949550960512437164704624241195428373244613246539903934990629906909025222255984723337965645979007227854380951207929924520111678427125995401486356569613517282482082205911716914025675823487975641807369613886222947439640950972822605240205171115662028729171917998898035894046495590631458611139637401055747208957082316205881375372902834082179829241922764580335400457169464822354849238186882887909697849014601417374409791262667505207752462948821450075636565776035439048068906639156770684984097860347238245378931496439690884931162438147744016218296269324420537764529643699769400025938073096313856053664814126001974229721952149851597916081730036334764980387899268081288239976315228672869399388852695383179837387431354599087639245454538450999023574163198392476830553903405535204444101065169420184839010431769091712422311080330734990837150758855537478769943843874068689339418251970509271503808858946925212805010997763709199580158154373722767467489461606152150824282238446937177520162205842431744295249634279326603859760752285307913511788771200724202214513626739650577393296297900644667064938080984241908877976545943014373629720016064120366503692487403925608803696195052488334567361389534238684997077809366699657441171225219103752587781208085464914155626177521838282870535791901063966019167443473930816011276028026734061520918718994023801069295945393320872700421634388069576690186964920806747803501045161678643221455377144485292680658243107786332196153433164182655678318061405786695193420544659640039821916985739587095212772241924304039352917988084566356679009953613206627851796952214602983814440760499885721039177784243982871164798995896592892244455007332535631413689716922138682278324093079522569868336791989820276936752046014401721311455570794099504079677550518097930019741531902544889987468149829741623065867193527272125999968855846509099648855584104123723236917780956926723399523239794119483343392719658473491529904247211911444530237341606030842261784034139610283935142667781107427950071423299143051291804897693827447606822960429788042790223043593234107033644729720528905814029312398390750438038822815259198701351999303389779513844051119947788440216270796849200595842009416636703874519015687226390497840673637197450764445495539599864295372126521601892873127296145314835891047152066761430452092896786963050439101239967290580287052069098823784349408442461928201140821529046331064576483356192858436787615880123410993746784732659950122550694110945549242622503281714158021289978747041033872440617170775527947413813654085078014401710946595548407192948874747554468061541262800262642266964682867780380105879730147688465465095475334076740577117776389771678652065131191486848254145523500559554964822619884455701226413770990891777502356870699124250385081399885925805745009298482957163452326691638450649281336416314478573316680329610340961429375367129532220917731066291106930663339424106180431300370824415723569062175971609016050285986227289480256087231357859804489692205319055045135556615261898621679900141071056698741073335692076309966506467016606511521004399144768512106281536400750952425864292557712292845750839039350633222881543257849526460675661379046148804247371017695022242314519873577831449049731102036931589559309255786162161118796110783120575213818183165426119512085408719473947440213574835235838622332478863703205125140942091629028295045678357530786388564823095224774350578034712243197250030969128179987022544237481363971965518549969881133562048829911104642116060066652773963550764472141319565793100912184329161923717425504667711668616800632281505951584337384926437082385871558136948814604281837705964873798239157573072553825709443775233641702474970658576271121660302235607694632091594891917843554612741626968030363238098948047642771539749348552266429265346024302355282821137884173499372100873517937213264306284462256669548649421280546099038577464124358334792107072312577857581301561239187100273669621446747207727421138355067496548649284550777079728805510319232348901672270179731294975190013322474210253503062604093732445335477146307711278425466574220595817965319992168461065487096790121423015691275910806523278881849635224553007152542829645771053034627730666247194104357619295142896480295914352966946462032745394484924554688577564180159172890985916691028489602529891
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 6,103-digit prime (392 intermediate primes).

Certified number6,103-digit prime
Certificatedownload
Certificate chainshow step 65 of 392

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008649183568 --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":1100000008649183568},"decimal":true,"detail":2}}'