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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 #1100000009054216348 2,198 digits created 2026-08-07

Value

23114185670752423131266302658845138150150402623922852957649860152489500678309164518982863949514629222768146908226793593795243091882214161587773850191107156904733993362200586324489804333696578601835902366404364529814284969805691166507264900298468699987998084052900812816421799888420714526743346297292437786697495038419175506311367311237584440010065584317030369965060220129956610791456946339425346943376228530091607112449337653725997833953912285351489873508139711043314977561856096636754964081208193693711881173368350200926532121422030382387292694323716668278513071842925824877116333632361711165739934287475306831970109419606344984400651372595549862838903790378532258913138255595022169613873804995232508842738194079903697347281956021173710036762796669582158993589256608588934958085601252517104262813780721808625357145014562669315729888568063468158903774998412149729123421916013313204996271756006994920262881050784803502310201853859859883469100058222621536921832369827729464600455458448519492089631884703655957838154793350266526926622162930108534527083237899841735009555170107985514430319040506644891475873155939977535473122256246440741308511214745831121717138642181806205264370184544249539198912009227036726970942606637933288977755260359493034229780335820129617305093070479144846607394943172064267795686369997202783716080285088576121215417674164244249553097811420008280497166038291645770485352341908556342282058588859012602867498037116943144636426178823685478441474386068504672441013656333067793031465035066360504552800772155208394719758408048775047408313115853493566363594154287740242713165979564854151489040956403300784807792087011658800647368185574641747614797403806001991868631969500336224569273031076228241403707904620599485468364138330647193632753482403194052501867108649296400371286756332128530262010368951828521908080629968714790861758080839359530701295608672416109645170586773880681736319989626302661469152984295848611284017321567727451706110371442213877032609843893236691454268128126233793682404589978753577220989491518258282692687769949669457765180758764439653228895717736177957907221002856904518387029850932086594320812917750962385982357891251389441706271565841532028852068215246065360491
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 2 of the certificate chain of a 2,214-digit prime (176 intermediate primes).

Certified number2,214-digit prime
Certificatedownload
Certificate chainshow step 2 of 176

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054216348 --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":1100000009054216348},"decimal":true,"detail":2}}'