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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 #1100000008270921075 1,563 digits created 2025-06-06

Value

828385622428275627404193005786118387737768130035383491526415177045707266618425597010880952309967036099639133266348823277965290728408401899232659961121868773564990218775390996635224450217048396798154133865369884168117352684177484617601784590681198935020627286146800709908997587124225978595805112588904269732748104182378110543738435200893683499859065222653286494075042403976129495558771334510169836814964265009347995453777697654744204504940175050712377132564493335026187450121506359707704207331553265009444733796794573004607322068999877135997728026924299430298086188508057321036966733501964143806820751385605476521151922806756744197539708134441888802544970509990925857332900167611827921923936776740500703500673705266538478346708540423428978607832161254485339468863317701262324334798837098252096606918254186914528106832269749802924072853918077386158301312228516259294154945157685080355733914097044448085401340448517613552208464114383520412278631642451808467931532170505061462171706379012821437640916935300625873087132184366060768632029027374293680455679117058414641620589590271414456371865468604773802860725176935268910544853189490456799600599698495507422012724912776066788690100621238428382423683101577467593191210516289678560968248947510417408639397026613422591577594550762098457951185430855462473409780406363919977542365231878211619354323049775635883391212270802250265859377696314754937451532406111742166662077605703693393468584567032052355903819417032653738534054387413979014457763547027677271889535164721457870337720467536988124297562161769685342989866196336177
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 81 of the certificate chain of a 2,344-digit prime (246 intermediate primes).

Certified number2,344-digit prime
Certificatedownload
Certificate chainshow step 81 of 246

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008270921075 --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":1100000008270921075},"decimal":true,"detail":2}}'