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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 #1100000009130045668 2,918 digits created 2026-09-02

Value

10773356293325815050634509216936020665884580115289717644992864166599818563812097102961308370577754476235487753062791383569363082169534293586294948019605942555183304501429918396551189209281095966297092410256098291106759032407000153078533134588600911625980522068001073438131118158074365325906491936920502362190272435029752835562437555035329310937749358151749622916737484479104548208906103633428937522083243616180883317625299901117238263474793297427578324451196025385442493690836359892579139031009638180223037442705774944480189621016103737474847240184667332908205220461920586077305678036441322090471856577099552786034105757082218381153229412462982178941066029393903263712620249863941098868601158215264613100721805103436563648844370655955484021139209540466387421625950597518572930940353704514722333872114112524602478355534508500557864179932826470886866564944906537621151699069491990130354378320352567071759409950444321757069061657271656903178943630343798267175299118632909242463256643598320608533519431508045387846289225965964170168303873409669729344486867262454839937928033872917888707299006726506004081971522733667119867748235319194960177505717064384860741356875687684314246459014622986272152879297424545225711957041361111792917470908408105055225931079308408619202653266981673390779861744127738910821584250186157161679905102662010199438148611406113357798356708527604371217291644778549251963020527026256081709999394719464439142756765997937071127984776660080726200630152683552140854874825669700774033374405716689203473395022286129157992913765759100564837182123429009821978292256836204313982876802676201440254577122942538278264795464288034080081049677226861397592318955086797478889660228641965105039580746192725647444079052848066904090348972781512857580209730952137734049220222234530495204047593022975671965869228814635086089308458525201730473611400990080899435252639931167311508476656140587601999516585258317470445775188900325948533130847866785022468772828384919102262021543089967043911339410693070688288475640383918346668036673791543731748446232264681863231320542608516409408885527556155066054257927749577034545430201615137433598692951860704646933323042775528812997994926230245183202537030668631700159703448563422244153409391811491286148579783477002470271748501278476031831096924368924013491004942605496111582661735355311504145759161601407109904586651827601894962667929451508038567997105774992077463223220132748975019192319908536882194937939793253674368353938366108766997051358641242327946267300367532225889706408276547330116079742692494845940097304101830278043862611481043847719193495024596351622614474289039652901561303692225962324899649101357747289336847717893620473312126057671636138427885213221662659840362202947453860914670864799809143680533780558010802323719574864537832391871710635329446967894797625218554519732213671914284408470919718159127574114008187023076298295939250451461513265730855180840255313472037852117
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 3,149-digit prime (302 intermediate primes).

Certified number3,149-digit prime
Certificatedownload
Certificate chainshow step 21 of 302

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130045668 --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":1100000009130045668},"decimal":true,"detail":2}}'