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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 #1100000009059673453 1,940 digits created 2026-08-09

Value

22175017362407509011965902396551205644275246440857228978273345800015089354771752151481696874747854072019084231860306907922798672356096520009835704841996054794453800616518480291474976773528521820388986244513123956901421518151725321454076544507811085858917782962537422154203446714035128804074900429088872461108523790733605973660399887203351565640208122185686440472482857109550152506433594486226737539437308195048175794240463899746098278655235395677504013300932223608611889493724821432089285521571605419450065178397492172103929398494798707979278731104375566885672072424183068632521126836469223971578463068938775340104287933782519509872223665949450484248659480464581614951341460803270482789185747616045500111896143560600377108167753411910446761107562948373191387413302827257255373291319260612385770190869051175140165904459616736204576311761138644490049030636764739984745209633953749843844086911576346379759086130482218597118632224857523549096406030555356333247299956924933107831695564140815626240106182655794186003767574199615064918660387615659448073418509248516764616446707515027666119541722652537541403961663755855753087558446879405651325517553963551493470610427744862660518206646074899818787272698427690385376141654411445736165785300238348654409064166676932711233390461976375687474212998524161706851304756838193937486654251796833099231342959346729834826020653837201040307356136332146320883935789778143695999069001144932939978492662302795700741837002570503579742194134623151818503194073073671400629806695737716892956494845830698740210152481551679603611851961265588895413885183236217506552804876828539295261610736834727955370321084081035126819158754617106367895128492354759580320525192450437753211004499884550237811919007940527630901359342490568147870069703305614986170470588622427663716579995094857327916794945499354871517139730016456010464627125357675991358755931374631297696079381011483472253728955131178839743837142559845705566265629674483
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,555-digit prime (187 intermediate primes).

Certified number2,555-digit prime
Certificatedownload
Certificate chainshow step 45 of 187

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009059673453 --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":1100000009059673453},"decimal":true,"detail":2}}'