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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 #1100000009082543091 1,536 digits created 2026-08-14

Value

262425017975863426231068661957918572170667034197712003262075602543339491328458226016561587632461165591364422065207115236776577126920410587634828300638937463267059313854272819471421263514034201165341266550468734474411112953169359765659243091303469306837709328859445583312231528999973122731158863410083556001007819588682793012335386804983511150063519568544692725180034166029496796730724646947201905529746147359502798032275575212151151620797761863931573085569453827197646028270380762187407348132855762485161909252014748659074204899187571891282991463187386787401591958304443182623648682982730561671773544991323544406595562069689833027561851965803786027463328674431717609104502060138081759097193417980928841539167478099215008912209166857236778314193148846593624263151828890213848023780784794859678053400481512548598075066303937968331950838019742590977606044698201213300180194263158668783305657639247405361362124384409438258181916175234156178274588279989226100898700270726240351891363462968382142223456775105268794739352741335463864546235119079153284626737395128437629914826277272510238326677368394953841434997642194814619390279254218313551518568927879532729770557164156540784078096294814878250867370839982967658999821602284819144659844888170232421414956135357890693697956609813346059134043955615972376257641391837069710205184137951868705945900118443122622341356237924926410995462805977448411999422311994581541724209097117657816407619069869692320120870805434733664037291666859525362494784014201160639946634392674141573257914403361820727281161
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 1,878-digit prime (154 intermediate primes).

Certified number1,878-digit prime
Certificatedownload
Certificate chainshow step 27 of 154

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009082543091 --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":1100000009082543091},"decimal":true,"detail":2}}'