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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 #1100000008678589389 1,839 digits created 2026-03-11

Value

401699559521436513696146775073109417255185691359017084308402556775203492901306059382352763003635333726565152479018103045507139638710403020916035803803557175321231262153737857990527576958840529336343840840213213413175804247434220571821143830605891885923375329032629133485548278297968473064745766133031204705761816362333849583988198829385632846909635487655660361961859517077563302439739501968471987283314836766227723950958379411290370581560325156734461402533870456725018276306362629302710089704747131787714469480585929575283885570714586811306272812300765573038370371216680007122155392034386203862287265724747401820456626041836925387311210826428226361804664494991024713341071363809225870683016940314538414245782757884267026461124609844819741184477602721633751488692772981746080023906224711131289431893947693345123323470312520352808595778815268628693232457978980638356190967990488112010739859963508152577440352401832614610118774994354231114986584014469354398779228077105313296095082927409002000590070329594285003061546781897842725713663617425650056023402091513542329613683041745135718810809280448728739541335616255869408950393886136110688106315113558619964939399359283093636776840537281409573357084879826742221767094047671149250489104226520004714253278195056793760213104653633806846411561329037601401705854731050312140919009841046667944377671757042448535123078793460249080766192015065164530759555155916229315706476533489125537793210543783916111097351827755558454508568197369319375760058907276929881427997298316146097565885032441755733465723803548347487716592912634920141840899620481047637638901600308950998936205532104506417617580541792037193144071624686446202038356979353735506294679907167494374080756822555868272879742051880988469727470815912503020142262283249711208046686862635301064167675711561366429786740767037336120888645876331120548607
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 2,394-digit prime (160 intermediate primes).

Certified number2,394-digit prime
Certificatedownload
Certificate chainshow step 37 of 160

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678589389 --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":1100000008678589389},"decimal":true,"detail":2}}'