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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 #1100000009123228089 2,706 digits created 2026-08-30

Value

279516735620515475626223924152377077666146780742941665202332824115835363168116996737623565333023416602379098451387596040496539444510441914744026947285931356424250116683304019381577723764955961712675803444298823791489888955915333551068619992628434156202266774119644338618716765630150656167581974858658794628667181746331028357240587768943274377177467760655985769525723014288767493527510055012627999883763912058701901377158389819179583893886969194434992985161404524275975022832207859997495008330032746954117039906032885200472351810268199702485626672946264782163993338643146959505545600241461808465360561597570926586222609734177073155955074401356644330172685458192548021629560141270614172660790502911055757879317036011139604527887359060990149771135176530294831347237499698395575321871473381812029550473075755437466686136928182974119574889002469379559612716521018182856367282102031747935219786985826698929063733966791417982399570173982251464206630342675693205841025345519031293394961421492140887556771851017747764642069846930617406914064677358461250217465156222526133843883509367589266115228260174275948829233415750865561834727564080436144469338716112481009668108101349170867203747233579473751925297266324508949345623787777019290914355530376962219429524749780021066510079045645412834007132324607847380366641457534080504669823299797455088931977481963880342466591606484824362032781697100629819424740507308210933338393112773137472552213570123730032519584857370877953793666015418870836939946317024418635946410450442621080985282983939321655752706371157499651364648967649917095620578809380158386593062998179282747498367924236591550664341840476397336602700442042250694858651441785478165253237290652491629107448302003308543373420556174229638780451665396407829589913085404566674300528519074233274877137230451802635508392387597481571341059031966409389632289735999794203969233613277661111132115480878066546486613085947088427484734376275700741634628215552331480211717016727192755044799131575855760187643239841189708100781439205260985395392506468595621442394822337159242343927129217576204070347844737838957196959469556812993449687850581628828163457213065942665349604394060217663272199897343749933717932521554279959199677110574891137929703621756323152559882974942833380645581998131506445122972602720543235414972605093130753710170313228195781349830863277442813410853723081343024807268701019411201268660690364329470389687858336706236638402084511349374242760327949108959716560516720484906860453997382943788737037537542683005144432664181445547709026294967128554762609000819522603496196170267774647660743491936923117051187665228578468722602355700113615948106851349248910175753256238076454272742740366693294955141122176403860346827
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 3,079-digit prime (311 intermediate primes).

Certified number3,079-digit prime
Certificatedownload
Certificate chainshow step 38 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123228089 --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":1100000009123228089},"decimal":true,"detail":2}}'