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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 #1100000009122012772 2,685 digits created 2026-08-30

Value

277387474898103615956583599501234299594781764653329755694581963631069272305868844414951912059375798271366763908323567699988624185908896284272585697916004215697031853785744023340042578453719919972780349499131276123044431597815222388490399267173497502793808549856689341195163090760706693883502407120085771108153628953217482665457613115102742971199994336226906772680974244955155500383818371930622631691166516691301765672916436864642140544848672174172405197955775616813369858153110047965333258250835782652723769971998357985033560608394680537181195775468954852108061770527968372458580130799791629588543802690838506578989596053965805827320345416998992274421036109269918040084536792434728437712669555993961410381384558026257638841290331795809290925193822458586878754075163098614582734190988937415462741994216327386908150602174947897028679727959108861588310107766567243602857571715424261494877223537203989290566986403108149030132078070691450210309901384412162705376154867507381021062619201449526552826787044771947464073288104790964591669464697426008189396133517563246595255593784620978159723260861401536209220779964605320000764133362662499298148558465397896571754605430354116196737432356377932223232330457237951354223537213102048524618353723292194860366227462401098817748924327456381352013857029453386057652566673137026910612583642983800742002467907269904985106342262114778214108226287007449406577854361852074250162743270561400699224333333093919480485017001607213589737303912146851588587829044305877890701520809456111763475987083997093819395766925813136420761506901135120602946337331029090695504129269654271036090354919258221561730057109879946314317502057372699315398235329697349076975798008274879906636103416298062419360649496294415291482910956481103440001487528778779005992326555567411342261346575926613868938158754540336977685016531105654937480557418059169892079223249770906734365099169290306415118881132631716312646404024457994637980772899742532667901479529173603027034119756533722464696357333768925981422289388141246766173433378209534190892277377720511402188121757362001612220201851220052299148245540196634194210552840882835791412077660664729395757650678664305846102384873950174874600550484526793654435604295473573844264526421072331308917243199316116764963051724583964168325492047996807376019097926352946848105519617407211220573533568820918365219654014355847901222007000167404534563173243253881787387931657377944485698635369600526809708667466614997554654853705242412884563385556685950159203975789296745536445359696725964856163087297276793288015520962452904793779243103911502462356930416420336324061703287262746469518302031329826275216249245192159119312531357407261877883844256221367289177
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 3,051-digit prime (309 intermediate primes).

Certified number3,051-digit prime
Certificatedownload
Certificate chainshow step 33 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122012772 --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":1100000009122012772},"decimal":true,"detail":2}}'