factordbrpc · fdb
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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 #1100000009058004712 1,961 digits created 2026-08-08

Value

42570145397188194758807841394963129016525185465011634446565813539599419215509679315914330219550989262933787744393310889755750668003859851357185563948617500835748172738177012789605398265579380101083084486113562774675108720806454070899134838155106671708282552873227341473470394150389612237803269983712146286240884049383394642381919501670167610576605744426406234850563396266139538431558814054928877713828126258660361264770558894890332000980490751143151435907770042995458635100715929641123840977330868897138128090688155907195470725586319407545745901623544070837666128304498143432597422629330159533566879824492848855116911913556383723955336059173309806534333684944920213442243110272938784099079374553921437406736423387147848325741672461143252035021416131058535918705679890738336656159897150166378943675037891819401750739494974939318864554893482863143924800897060361885284243927210920099216327188878370794429321448899457195092365849377995404962438915583522458655639960207035877025223972788380270305565001525097765550724658744929035823910381651912191794570632906428428404822542227201851703236715710054338928593834003111364387362400341853903975825781426767052779571659652922887122759848545517586528416412132635285906323138949891568578554373524980446555684546000508574937893103475796226093326018675957023646610204873671606916536685884578044138065262258873785390824120963648742270719636131142113772372529373210107311008059734882551681621447295839483465529085964062572414968324019818993392320965278871988091203100583571872170933282843838985790367779061600269288198743905517864061366419555146681017424219699608782383637923296856449981621146224889198334580728442128833232223743176906554491422532798102879074651446096307322665913915486062691913075112566432454099566242318752713390877715455856586778982913815035815900508145374603491542384484930057376117302947214268767701533899539266664187723344234259188914981613012738513463155815089158716106576616137266049993788529749677923
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 20 of the certificate chain of a 2,255-digit prime (166 intermediate primes).

Certified number2,255-digit prime
Certificatedownload
Certificate chainshow step 20 of 166

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009058004712 --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":1100000009058004712},"decimal":true,"detail":2}}'