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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 #1100000009067938264 1,978 digits created 2026-08-10

Value

6738623442364675413127436639007762389411093196772433559343492182973459592277515034122640007300306520571373433240196307440564886940858534366474502057895413762912891222653917104303104519697998158861262353829989950085936029423450991288461120786921819945226766351227253250712003260095580755747566197428888276764822433578663079883161316885628959456490962994945985717123778868959739334625023328400098001584776532728647929439918126999152909718383343116724390432822930430268298347904926648731453705830793706793893686441538938525664123871683689300809562177823884304134347355893140274996933017432577757952791946194488823241630030562701370815281394808092130899343190534072309546922424681182911482907590100632710436397636184476664347135806968287527090135111226870107394182439614253448988850419713205823473092438815274399407237464243196245543346208841147965285727132517414023580265283290939969134486530500281880066671421050769941208206093556781259718742981072429606388603548165867873498846760315742429483420925648564557351677943641632471653781461113767352681951646956907778238870765318854522163629163630686722608840543496266122773692954417031083094880586024431139670174529591016660690642088867158203889589434868220077088258879979022548353463739042327003485296754668452675663256707737008870328113667955592470966507733990023447724612569840032071749295352604401855406160799829334892936146385207870994472191226252733654818058140626690221706963558046612247466118482301597531129395254605301679976945224901964676428157251954918419614766465185804757607108149408117077970293836580411255695531730324999382150949300119938630555587908114364909599631829513997111177191649648222754899523969749514057456215520417893945083680678517950952870697665709247202670513025337022355027343671791352704036459222359721797706133877162483753623331590824019199015899968024008945761858789157188970284595833050421887391174210664982108719981116352029440965129423830452410845151323533860263619266112652701136854596343477550979
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 2,638-digit prime (209 intermediate primes).

Certified number2,638-digit prime
Certificatedownload
Certificate chainshow step 58 of 209

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009067938264 --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":1100000009067938264},"decimal":true,"detail":2}}'