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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 #1100000005814643344 4,150 digits created 2024-01-27

Value

8659822503066319272761020266216975437695978084715512126916401316615674317021450700279462528041217802961820045215712998826426605804713770516061006773902683931315239589165707240296889675077256661632911825945982508878848759921342049026762096420551562032004796567631801155436792610316674692987801538502838706047160907770410708065765104517394360182154885336879673873654980491950427396574252881180571154692573118169323756250173541617452579007619848032291935843226409578073508237320577350607574425397535313012824387639369539912945418080784835081158361148000349873304776721821523918824080148288148922234478132398142957780999111752188174308913902624698556913995112049429115301772728601927765514581435949858626768305477753374436283925553930799005024609411304290378184941234127113490762943910244001964876853285034081674461698247722663545703371607124609142295339087905167094880176183139317634202295336602826283032358710676155513314992005894358016483122528559309522391251576417460711922231466257776640873389279205905569798769722316053033996240887851047340767623937489184569577886010378029218415614480862859346969798049266353108943472847006558687060752070964451118745896131761646715523647743085582289117824206022306334119916157489237467496020931843278055547372784146706079580509975582961675546416566849682637159961005230771188977535659413938853855860601518597074973023605803976806809246622505713759484196557967367565333083273251293120141080186417126895163220391798511347778175553491314740051350760696236052972959805222292394156117674228960351616552611986425712188214289541367571218720100216907298707298611158375838011244718178503031099378737674620005724555378569018181609769068887655834238744320512125631425850941477539949718813199962086661767421362295883559012727468019959033909110070148761947703086940253388864557584629876350950956990160108142936395230998294886683551862164822173088745282396736583478534915807773002139240705803896147320935421049924139048603140795045573494387097462902640481239625521478999505266756990565343925713993783349269117052406259406118651726879629651578872827358772493572395210371426943189408451532541105968430272015333859100971162302306890564174633141687368212529923178876273362201301465077784885199629276559548446712655416627265773658850132477417266004189853553405394734012316046430564065145472908970773546142973908281143460527375739164066808863814074734660983080642680466727432769887105323025185609433945178144159285113440034375291739694881106785910914984871357064129061132193031917292641440823137000623631032027621536081298850062384990285472657039641871129118489321148162699551878585230329393699818553166912695381766336335467772818979609262575544308079206396464044673651350100788950303512089724635864188252197242960527249935310375816910653133566351512557447452188018203945496537703996159327242290268923073267825365807063103490058200677586104236501074603744497820488089064388770435171313528714481154820842165176231589971829013193377275035592726609850731372999490669367574008550435992118542181524688131620010606527140832586841404878451638428830119138520694745255886031218855525603253724725795541999395645624346202351933924503552535881070759256413461112369185670830863834994752328375257133997282268966694183552406551180292347862974342090956369268579071052002089009429526724301993761578605014034802554102382515867393688213529304679128158693281397801008040535344682027485564168736324383215336577444931056653421201567472449179057890029084046882330958886026355139366218477591595607387725570479416916113029322070975528221169277683752264264140978168776764330404843936444537942916050168821914006858945608336877697286238976858259741635526112072630369556422854735829519283009523926101583226685234746801395804067590127438910948062752792525777459502041778861400308696998005707931892829323569187606136497155770444442937416081390875610840234572019840616332481119940931233823676485767579289687042016940570129713184104786093939036635900865014184180310073100752743598868107902445576572841936471229610826368056162209034387965323720215155010663771637712239437284275126300373691169328417206371738324448111999103469519827092347867017559488270482279892134679
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 19 of the certificate chain of a 4,367-digit prime (247 intermediate primes).

Certified number4,367-digit prime
Certificatedownload
Certificate chainshow step 19 of 247

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814643344 --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":1100000005814643344},"decimal":true,"detail":2}}'