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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 #1100000009078003594 1,639 digits created 2026-08-12

Value

1176615438887510338561164740717006562100047569498427218839879598691069096277300216095022846199252785653732662817618176165077949277799887966990378619149933035717570544243437974015575703384629620395153498110647455982619448080078330979682347434205110924021870263329524572085275228096441935637008941756502808338892038740263400069237955586301221161739026122582933185970377745814915148151352821503034870993824421710707192396019018288373548063905915819405202067958966711806860923205349278797049736187759900477391091048282836891361814745204999675617929407644328442380133822450625450531996021393128180626339026796926987013493859831264860771061246762532285387851308066682728310018789852068836252804864874873896301678352565672838353074499277745258312279343081548382085807200279250211613927867793696360417576766033809219218436453472398797965205874742677112013076764582320466242258067997966155939219795443326130332089184075542280470254381289106794258223442360067930412100556495752150878343561856979580881729365689056070200859863092176385082150333481641961905575752840473285546311377675567063458382022617763361930726519662724790944690926954488834409650924390538273408416708822738819758803711929259679104228166783180226449665705549217332504309093743373370643192532562946637174887480091763578387996244151277445215303924041022455128992066374508344918100059168011165319535301112323311927537316995531186292805511828763053984714712685288482602871135108560178035692827347270564890420179179832373581390345296930220827612621962353827759261680109348234562435018179647468665752969505664261471418527178363371028072331264360934834624701141733310336196340090098727837
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 2,145-digit prime (171 intermediate primes).

Certified number2,145-digit prime
Certificatedownload
Certificate chainshow step 47 of 171

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078003594 --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":1100000009078003594},"decimal":true,"detail":2}}'