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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 #1100000004828085399 2,223 digits created 2023-10-24

Value

702887488780741356121684773762235664870081321221848114007510091021347334681681236054071219591822473558868524103271783040886202060586093383509758293600627139095268079472585798450708174170895370844766051353420193484853795462562203615249965774541613969539909276589740871027335633346083901372716177640731133418454310369223907038810989815657298815527295936114658919894517845139625528540448211844422134614695684687616643026207877304776582400703756143102886186613689225764035720617105434612130434666735339866076079360400707389616895244948092948018851061914124933045092724396458078451574669741213511444475744638390660971141643975152365559082751771626297276501839766368981991805867895832831636407129211028021483765112235177760776008572337515104878381374785609923783917039460475824057489403406756519847357233990380385041710571817901776061385576192996885247315648367459300207097912176402190418133583856204494567737975569576079356290996330998361323968379283072364052205430217190077439227553503590509116639746232605038094720880185425219992570197871829714667625307944531744269997239477713098115807864059767815933980836569759670911967398615074701282224550100679680645466953761596040942599891401870128810942923805959547697685127460904153797992124186102263219170699670906002348479391442199320740425030389696233742430483834106548695579439603774656862219235317713263942514692718564820744258539254788819148754339684010899502780760809184227029323579693842683632799710492053600281458129838720717467500388611962168797130558925547226251906620682485303479247851369696980977877358385286830709727922549196445207019517200725295102831893542790826582444229982718583844885583329936974956109612229208551887915966578422927517884011955828359351926002421801958785835500431754373759577402321322599093315925597161933607282087944208551997379195614619292960464905403298448482797368319705152259822816193981213554931445124335082466293129219367793956110606045022644394822297370426726001102169483672848897943937875034706607338234126190856674293853627269243309498936498465914170867977182293422718380805719573717122956757680843758119802395744926732779402561594968092661317007205208333038203967287948858234583682951440109571005990438014012844123683245736745205446353963
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 203 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 203 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828085399 --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":1100000004828085399},"decimal":true,"detail":2}}'