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 #1100000009009793793 2,496 digits created 2026-07-28

Value

170829807566842343996534867404457724104583571262772744156100868834273349976316648624431826722101416414388716071011181729936892555379186008203481714428231149715786095960301957115259020266742874124355534236291573588601090422863939989797154541619458802062623633499781910863802283156078305441140895275995918449939665187492049438082880558297622883103099078557974499935910298626975616006302416903875338115782359309766115101049116321075732287254236631812206518424700693348909439336744118962936565231453752061326848171533017011203089394235046887381630204133675663001743005309314553647795624677997182164932658829189670269016585985458142364375390196003985629290559526664609439804527557800145071598944300426458938088341912275021144620474277267995593470112456241469558987107740400978611322458708099575481811495772429057382013883827914371004930906371096953294271988120799626153198847587184108449289489519601880700580966555233706578671725309923694631820998261930749649380785402927971617418913619542616452593723964441838214185845456730186562124712763061947090918015586959032220876866558284729276630954153457534780000408475716595651354744818387251498558766313747370878744524449168752543234033039345500370585803892769133476205903096719315710415519323551002077833446356988849921128889022720643671608087601569704112517590959125303702633998443052250223759202224744461275302409792785292333239434023827340391544727362753815135162606941306768032736288496251071216517764740005842227195653311816550515287221599280959934610817416501628954919559695477097906618264751305733667652514356881984515700927531067563343943284717938678670656326539947630067710866745011002348266161211156665524537474937298863129625949665942423541948523516697640772373003161426972723474031850106635098272214340166582148127882000645829361032246613501021261917522395851018790947852522538018388682143138082144900458152890352916200281523479118944991600238952902261640561107735040198433859785839129000922483628089039973889347033266431325991207762674447935589161114288976237127232502320627406805338251492401250186958682081831329737206780571025649889731743623316745085205425648937146967781036654689652359169837411703246769064971608852994144158615746822310192087705342917477571663168315848160617869121425592643738137624871716434444857528480170226979387603740418444248067269027509254972626562188455323684221969553171393974225336094913549889684569430092613533866859368797653683655597423749965281247398796058032630770242065958209936462050943359245695039388439999
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 2,687-digit prime (200 intermediate primes).

Certified number2,687-digit prime
Certificatedownload
Certificate chainshow step 15 of 200

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009009793793 --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":1100000009009793793},"decimal":true,"detail":2}}'