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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 #1100000004828085272 2,272 digits created 2023-10-24

Value

1014710819294088029702525833645093637698412337213046776085775120941560911593886518450900925179472300552731071733488312434613142155491837823845695579185308371749424301984142044700503949764744415790491115806874404142910204527540363299882135245719131761912955768877894513227881191645563624094657315534186548786191592056435569999535339220908392250672939729785537040305897993092080930018379168117786030446043094256144785431205137279462751467296537263250334541174505239924451952057496403101071817610950713022197848844133800009468445518368969446015724129545911013238601877926194232553709862979167078973063090470652148907023140476800020932037404619852069548853326785834704477645301904130289199883801766598043529643837103537386120951593849245124189911833460594870150225894312268637487235570980985203690294007638516681209791736598672119817952898945903465608744900366912352745860038419841909200139125017464420003828728745864331547351637328139041290567154986625471093381700112874415921499947342927160903412343979707644087232309989799361532316862828746419143750175115906185216442746278406178929029974271464112209865731977777247253921740996028291386182549442310318376994174458757688171044447737098607871571657401270441145284102480741030250695730440812032655553953610021206454397080200771867104993843097640220686740816251016360047414163123195378632787014972051570550656749253874811404131797470801640601498765464713403325479261951164257263478117353336737867922089828125887727725293193364739845891990989850250907683510737904796575417176557315091426542460914937061662299515534341212832731086546003924165374813808656267422733067426452795841841002464286052128459809778271631258957576796583267638854529992212305713891970240854697836566578985653902960922553344576128768143558152726548900721740012440246132795223468615402159643658751810836101525430008432453252163613604969446795054558224777411883622953333510157663084394154273072708651052573093201004052420067142731514169046901783991110719129261137837208945848837079778765543514560274597203962266415962154166305263885700508421317842670024153140229184317993854136813305209803607899653465797309658371526801553543513745617892897204897801622840785084824705471215966959312038655796885167731303067685302369221638290072128559853024269582793609009455953
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 198 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 198 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828085272 --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":1100000004828085272},"decimal":true,"detail":2}}'