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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 #1100000004836537732 2,912 digits created 2023-10-24

Value

16418425450739975173348016965525981273861678726593412012167343967866806939677790263806532385332831712340692174145259527441262307297098287731033931359584236401134998724033500771219581023229065206201225275825825487436383646773997715924946445587466677085880769832586726370017139614691355198780614330952948478900679568017265726118597571493011615252714550396813059116240216420451441950208813361118328332249598891565334283775334001884844152670474773137484214900171819980086381593704829253229179585578924500712227473027831782112406886858933115696030906965669810779792075114064201329070909556020578291854660294553876761327663967491374404176408458142704853194709170155160792523390927561648891561130316454771873962887368159419210494688877684528225148265638627610377648580844100817329237848641653543718270082833615021976780423841953507636752281692968779412541637783784618402704261707927949620458490162695408886057326839795848994436008762176314949249392173464849089544244631386503796087660851518761923993782397609413095422212570356825214038829059008272147497484991801702099568276997257234670042836614502374260935203099747730431931636924820637645490854928783068691374636050840218073299380860146150602168518583323107572442963831568732206839438723454235198714644627544973106428078215465037159041966618235113433109952106761657333003661409162865002379495355291582875535444325911084737148342922348371686143843748049725781999634455721940210116462644929055440154697629829400510352398268623516459242568515505552508627534673722579370426232888502558393677618788225575680470033267882270799335194879849479859145214336691948604365205381295155390204424175143992152917759528025546237792826626392069778884839844153670829326671692759979006143551030682379954516187344016526057749582193872380953520863682639253913461109505870557998176131220258241348084848483051104939778518198372512318582592301363973502947003818249423677667767467035299246669752911451388221533068562476270929013930412808731648711075733958306177862574153669206562018745491681821407067291587837508733604799040652612594826603940735206888269765431275943879003182361042204975683464643053000728931460371011204717813685776722804444898362392835076301166030694181585285888359646292223751353310272209871509081440790027330381587727632254002332411480208050710705300475659617282092614230628391231995842529247367055102882308927981836287163899558300817753179922508496233370319231675123183694362317008437344530630288233062400801018931449787895179889406777570884776750709170651498304707505996522921444003441784241453264325277472880704246158718262533736249260379800966517984490409393595713064808011805780561386156186054411524915788665931757086732265726777335947739469660758676006618246946072263277525844863555413706578940410616913097276786276038145065445974756537942913037300530808617845448058589099857154813949218831773636323382062303448451408508101262352696776094050402352676515026511476388833
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 71 of the certificate chain of a 3,651-digit prime (390 intermediate primes).

Certified number3,651-digit prime
Certificatedownload
Certificate chainshow step 71 of 390

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004836537732 --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":1100000004836537732},"decimal":true,"detail":2}}'