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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 #1100000009057947821 2,208 digits created 2026-08-08

Value

638435242079906708515659029475387530167667795662756673852274851545020351803810910909883453801622298224019434441962581414475518949731607375002252394323410995832492141771778497506499699329926215888563243113821143350109672868326563367204480923743302869933443961180089256556514929742103507665179724540603436748813911612938597802271061549953054525535349722288160832201231621406254596706568326997439972754340039783024334860810181422325661685709363131219637460449927106586509212310953943736692060264275451136618730631064226521979270453213416296436674037007018172993042472537935384371653146238719091062055358576961828828889242811959209385802698160363587371110064208355397908708733424979171441317292807291939076646788118835395845148576690451595791086156691902011706313034644257811746581287803691910344649219846178487027722269459115020544140913215632906703654340641736225656995684748785932724662131784482928881254425552379926487874704991015510611827796940087682910515941127424970501927335253702000334232056678235194767361286893711448900245026435965655495738412516704212991528698212063747796876691110074194484883535346248076124837935791206472208186991007718224298047532982561267330918319361362700875588205341627578270208610703233585721850647528860544728492145529875885630184794899025508773338150929189454217007979320375495326865873891518339180738239430404151263749099664548565114390001837060953054447389966609685939536960978824584796976449363323880594115574294812839417974006217955639409409107320776877750951197209689179425270610330185928997463086934894430939311169422073046821811956843302857393472263584736680234325866690711841823412273601852831721171281031811210579608947333268371257432616616461422118721624670909885937505306802101263777611951115656533399258557097832254961023987940022685604262510115155875583677824258699624237725990955504355161790368168693918684679239886961594591156047018590049598593165979216819927665537758721199218298361318188602335879387533964343821758091642088339203319785014355835522424527576949501202139590866489517319726845172658083010350367584347794478148060878219828924665317254158575477895168610312210694479339898835991502540637656208700228724168093273004003738065910660023442185567235677
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 2,454-digit prime (186 intermediate primes).

Certified number2,454-digit prime
Certificatedownload
Certificate chainshow step 18 of 186

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057947821 --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":1100000009057947821},"decimal":true,"detail":2}}'