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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 #1100000009058378167 2,241 digits created 2026-08-09

Value

862479348351972527794602492512290539745093068338817565492626077772991487664319253739489776896361167531001184704083092166056217322484252168027421026029931591635044349861725801547591350615954797372957988873058477522755590108178582903378703793327195275626327377974670446213154251187666442664147099805103849097908205478245380000849324295921926266890722180414625587639327540982445452535946533445575305284612327549158802089974218310610246330977624117560235463957382379958829015290637580009177425375208033043215467553253607471709075672300891767449516407114347856470739351361702561416092680673725088321682201916973293618405264773294329764294352577580018243886684888216557333326145467673872485936412570461114575253846251332201251158209125224382204921551324882740817018720317018566066062279787791545688680516047739352041574859041181762642148753069655113785298430978987362768313490752402199812608255550578257063065662612188680334312802607662237155569528012053869717658986754399668164060975330133961267490942828537986809265021576224035102496877166708733045214212371854331761125302079581835933933155554264996718456164318918164444984564742455171977371036319465782891893844112841993552001627438639161835351825595049549273860060970989777890877977532707248952028902861213489083302938623731070098717852934230834415042392026997531016285328129770663793528455871501985454381977840591713548443468222901975135094862986108657198455346972568909505472965160172317918910341054061825893391211147731177962387086937237050872533963329354421340120737043097250475077930931462764612834636734227306995828056305435802860426042550732221756061659550541586085490743069474056822283923460985667917564949343000837907954278285323189846887649775303440230221026731341940450329547735042117117122052630728385577299518992730895691096465016228704570400818046243029958492381839437232985096318185468877011637994124483392744189228140057895584320485076019264678413692966431895050170602554856588191813163998539948442676951011359200380849483000809708750832784116642230638053847196154156293775509248010381168463975516413190901729456881615552724184023763233156103684305400909623659496098070221457720150693037698228733611765487720177498173685696247604284627941939596562931703904385105091300430911771
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 2,549-digit prime (189 intermediate primes).

Certified number2,549-digit prime
Certificatedownload
Certificate chainshow step 27 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009058378167 --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":1100000009058378167},"decimal":true,"detail":2}}'