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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 #1100000004871498225 2,223 digits created 2023-10-25

Value

133246939715471746884465933304155729358451150663988702926476474343080239647745129796665963040870479775002293327862567533774964765166328856808633449276425771410845965647063161247515638721445916056958396990554620720588121664470964279975697509686801528186611665970876687060522177432623624557905127021046374436135675502091114919039237858134768304983826407493650487494374961867317269792908855818924326312761196992259143221451014769685621877441534817095639856942773538546896255004279087478740918967533803470408451765516057777180354873806279855780151313779415075926387895387398420971139662393115697788700041555697349323423433290296990396225224990807807229744324937430733199543887426585221802175141834703589096829746515119713690908769384610607691982588450821004453296538285093764190744148770350902854263182430043984745821654287128604837283270445612318105127658598832388915003243637887864269464344724201005418486057459641217507782982238276486812992429417679754379601457498474187114707031441281616192339156556646980146672646043247858489301034170308562119949675866288123509602725767785928433554637501968178756542810031333135351936059509435295404504692055694957245641909054604505551371908797697485430714726089461776657690574454319966901931335444998358957268176802355509363693065417480951898329830093313725323543551489778323994662166848374259942181273575789940050854772257181639873324944627117184937555889215655719154408747954579997390352751467148051976465391057458209961267506783070411437228492798895649449434990330883279093017124763712101490843277117293810580165618446469500427757588226216127457306562116811945543730230036631732291584946707862550946812184458903698418426091586957880893299390621070476101751547345053972859938698758679850377841075479371820305503950640893484277835805523606891799915422641331256458020304490362972836449387479573616815774782093065491614717955077477828220934806806826048915063942499746313456105426619664923082016981812251082352081326391235493186913655794207060227741946008715431920672801492958230294257247438410364547360012424111571382111970484959595554129186224986792976644477139771019417355647763938697047371748934849697095593656463697469816585283248388324931828867453063947765071531391521580451627511033
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,603-digit prime (273 intermediate primes).

Certified number2,603-digit prime
Certificatedownload
Certificate chainshow step 35 of 273

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004871498225 --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":1100000004871498225},"decimal":true,"detail":2}}'