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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 #1100000008753399189 2,438 digits created 2026-04-14

Value

10257523091856670845054668819355358866165391948080429011831273194276538716943211082399205959666296431674264235124235459952527845365151222352804697247510543609252533213652327178839625232071481261101058534661026395849300595121033443416588550341422708423044590275681669268422744626482750611938786666730911473430543010886209652397041249630205156840616817622152742628415441522717326906298595008743821348133904944690210779726611039700091089194695483591503535772346436026032320714594953269853709745592788026554604917649005981242918926772468977467645795656859838940754167403494893696907486962670333197960031958853033940056037594154919857479311911011299007421710052555122641496539362557375231429948659417193757182099847201801270569863938364388071988184296499992896743000524584490887963914107678794398905548565158581986217146075693386213259407838541186582018829798495566250831416814328637997384771615180148038128222827685323795698694358064444349566732058944925429914923533286641233283312624383374099174081266671680404891639799416906771456445248864920137900652529162024745846284255773529509832053511446430114043123680882214721762999645301724160433724416714257293236881865899967694444753934406248117509515343070173197934912260718394638796893162231034312241767976913273760311788540965545161364842907637608152565542089106607244588990259341748273199607645776652155316058245151234261232329948180769801585026230676167188405347582323773234763127439382714331648598152491644513072661707801471503034796706258102068069954355634440567126475108039331594268141754671660023609109175114994577984363044472287547080717202583977396129020566194461797423227245646958350103447949690506305358880448825166121524065107389116555923441404488688449522474086671572979892446023859769157899771712789889072831745199601156702986888969770731313151978710977877290365729702935349482190411457672169980622252205815703000029479931901234935367452435838606960494068169093236830622591045155090172317123843144225135883939756359434778858598527717839189801764624211554631645275221889447585225652536976192746124181851016047760842130887252443811044161258404189552990151498485275998408465331241844643158742061426231769897309958063113998111683364079598083479315874693474055821943363194136625611904205746855664168509374274143660674181117916098563608784728880718416940907229281651695535435658168639690266422275207923916404417663675842414757421409379292162135357367986153274634844178767458647857184209
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 2,746-digit prime (208 intermediate primes).

Certified number2,746-digit prime
Certificatedownload
Certificate chainshow step 25 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008753399189 --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":1100000008753399189},"decimal":true,"detail":2}}'