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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 #1100000007040761619 1,940 digits created 2024-05-07

Value

22096610987719056363014664505964804593614959257813181190478740016328801902481950249428712664950830459543899396453443821842088246043519862854189347614106289633585172781074549425166602146535374890521708772871940385959760869176325838810604297395251279492704636861084326911547537984094588723214248213650082891718713599253683186769313579096964840451680892665638930424232975921561228084748693410557504503322900864138114432734382063097474374315370698968554172228734717774602024406983117790630906552458434368195682802377898511758225493760718166206187029946773811403560949184871714523327607437356086056866616589379169393482206385003656528746328945610580057760824379585147234216043278306784293880727971416988085381779888632404752354909305284483221399071476672698420831456855211951126265477002944496584961408726381546798307274780480754790588191686622447333894516569575103017769870852135550160610688878991259483623336501687395982260615800574744212264704938437541792244972491961781275606756099727283714877567827588662291526993560930304685765241920623244207570188029495957636604357356967561210364612734441458004909865130687652011538193233487526538503991647842066183681285728202775236315606650056636466900030486382367850787277398406994802339940976070412123648166641590308373599226578210645131026427695638079865903624148679540097981619029523114585086237617939190426918189310805827863443590656314581105179670425079848579552733199084593136139818279028975700507386574343101418521035633482356610056676752379444905132683946790532241419856757128484008209179097870950289646102036544489004849001035639949649829677821327541895581970417172608314471243464395143509212343881492420963822268876530860192587096735759565660452262763313711369569743586016345774476399820808040824611218220990860499201682579155047201104433894770765682192105943522878630863621868556007069000212772845939518831700166397647752723747987974344048160641291895680022033627701123245051395283400172671
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 95 of the certificate chain of a 3,155-digit prime (229 intermediate primes).

Certified number3,155-digit prime
Certificatedownload
Certificate chainshow step 95 of 229

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007040761619 --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":1100000007040761619},"decimal":true,"detail":2}}'