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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 #1100000004853462653 2,287 digits created 2023-10-24

Value

9476838092974682989988869870057210646301326640479262390490733701332244511937130494193082450297406639415413439802908927201696450714573954088536612202353010956456937189761953555043359839436989542717317876578600554810781636536798571471670895388241670041137313529932554826358385847301664143717586218941942788131597206469935164761837823324707597589346465620033793570500069958171027909597751581498348828556196226794830738596971038454900621613116569009999779571279871973114838674450888728158373014176013090116722968638874164994464156025625572506842356113539428312643789611495850323625651386676035866998398800579996550334063239260225833406282133206540821717057837766714292716648374176880699239138202615101655660859255982877860090628251685223786038536199179334533335557020518493965716538085533505422631491695528913034718850328882118509866264734659337287733737553531761449977643615733644794710286156190666466765996308655089239437704543734127165691747679701074949283039349392127699107229815584063867175164608911244350850921831472792617856360067352547503280992120023493897044156127405055476297456528933683720454768267488815324161989864271890955858213804741679696912135365082601833535201465478508039226749843998722912487352620214472772455068727756075667559974575143401399810041799905657170678509382523026809748383941561415008811417573024757231329305031276770321531042929672991400167197399054573968720537311914991037420640423540191127741719502465246145534598227967643590479494947308289793770245588536531231409740236292165044968545284942959505167261497490625683165360319773879064812526744752598996137982230255719722319607791585680468349564954074841288648767103501671402839047458683859300972000354013006701631969358150440602023381690192737771507882203597121428267012391264313837153268309842086515049608540633467532785711115307439817811449599697160027193385189417092337510504147573279756969514558435799942848727643511374618650032366938000079861513258686571552085409726772813520437061750654991460807864737627342760992599925395847769629050831872495515628854525869358636343274640933931745239621605624474717937078170608238909910230681469798562836612057741390855989594464867884195955974475418853628659995884323340058246088088120336664175003730805179859516024471958793070250096679768812972206537933177962828411
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 3,128-digit prime (227 intermediate primes).

Certified number3,128-digit prime
Certificatedownload
Certificate chainshow step 65 of 227

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853462653 --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":1100000004853462653},"decimal":true,"detail":2}}'