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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 #1100000009067820934 1,883 digits created 2026-08-10

Value

34272557649653677695508576135763311090121073316476499613087103851561373082409398306280882433831706460977024226269056054962658782541011830398237924169648271571905979940449005987253177322619925174819555724113130424339994182793910010075303424161335911039714369164203352533261480590327967588161622649849763475979556288167958215298450958839408482591326116967480568990547147946156059341637386723685782440331012529711193265220568642706358409524627502775134178717565398332515341686856661215706282411032941323447395445623233317573200739562759192041259978120692975649891304506916030118885030460010236659822538732278612228656112502579594216146636291438370717627126372882219622106962544098838087381197747573465185416752174641144468656910455394746653295424303401786879087026739735727856815061426944758420853427708455879408986813639465833920578617571106547828372252435400206733230075285132365218121335937583996755827121944131031384907308388318989170639122029084187289813886881276822202504749138768453721716241855240582342584595800094867961424042327002866569582808153616246431508001396427056164655261245437214499490645165790240326993010708395075067857663593961218409165402618789916613327341119808488315022109707540937644078829481276689613506324132168060671458086198497992812715819573429533971038041196666527553856288857680885106993016749744180786853636781863882322653930282154421007166834069528854723679457851891976261829072060110148218416527745684790316940194769982735763523535667050630269243278442955522637446999520919897203169051388577555883210610728888775563583370437180380032621492874232426052257739488578017338081856309118327012736726501212037516243130500471623693408726775921071415340370651018101728540922197869248659130214015340245627616852561364615713888052491436065122964058549048255477783357882475910496997778859071751510404778085743614535485232213426017543706069804483901248688761492763
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,491-digit prime (185 intermediate primes).

Certified number2,491-digit prime
Certificatedownload
Certificate chainshow step 45 of 185

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009067820934 --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":1100000009067820934},"decimal":true,"detail":2}}'