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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 #1100000009054216821 1,810 digits created 2026-08-07

Value

7018134945250867353349547471351603147136747740921383213349914681765333022511835261927090968356201299574090953941713458666476150131496695547913403943618837530999694376181281558936114432938387205039705821190541036023708954391197649875327580310440305442362392282942469308472753460718385929422151847922507457740444511135426454811323474429235293274572934934520187064877120684279315588154842327973639012751609724306466025200254146989276165130725768338575852985149231200329876585375945070679401035521031312508279022032549232958088652668364476034189627766970750350377489922468629218577514420053331110479926775350873037502982988062671646702071253926666867796709212869310791463458175906974660813346871368262546982897429010162276645031057917898791110558744095834304965729295467863346956865938886734756679513135075377617606066638139672056591380617715642766159392488995716617432386725510257288130597487903889402646541261326569618832824481447544569284320833386451516939661206130071710410538037769963571971762296649184089423728821509409346830280424486139988752872318512944022863861466408871940380370341044534320421966561461417040154476460704343725573373571138809418875966629412842103242159285844473188868383048827155402161370530972945620578676528126825430467975933802640258711013631093496872423584896154189702593275824712862649856549807519903744910323673277138508163479931385372807364039523007899126711308337542361050486024047201334006890675195445364982998622937061282684330882964547798941213209469727549496347766451413606135506755948454970957328485315209440490833255714876652755196531805496507840755801189021221658482933046693999873208480516501355445759880021539364361878809481771910759656416451475314479615900887717309422698739215689185625890121834315192284016213775870232835853953986637812872550386010466977977258626114829
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,214-digit prime (176 intermediate primes).

Certified number2,214-digit prime
Certificatedownload
Certificate chainshow step 35 of 176

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054216821 --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":1100000009054216821},"decimal":true,"detail":2}}'