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 #1100000009009286106 2,015 digits created 2026-07-28

Value

12863412459068078479942519055256059147875805745976277473465796567733687139017866455121343496723796316043716532436662179746477915037397229845806559485569741065138250273021068509154039871861118525359514405215469381796620189636424751556673865668654470178876610157237442183205337500994409688116602293274496823995606457859721565945229397432297402657385993466434300745560775875051783963254783471024221733534979088786953277244218764391075930783822913650262288898112648856253115961071280142190399757694454809846417210238116076010511758103577368488701280770985557276773861596717632215193254516709387022572049338565647276114083312087908508137451129210402604876959755222485629326848216267679117775986037632936872750517928588796059047708458474397312095110582754482724085552204467536264658974740252097226714189932466817576499492026495651960409722238868981094307857181350508847560002245463352069855064602455883340778224764494647417082706393949426545877757102938865360977419152074682885691418807016464556636918069326111745258402229977465574290503703801769338496245646508799916499205177348573393925297209022140625853786703552388940017918599601668642589042118520255872584578934609791495084614815933291488147525163850600710753901818221995379700327620410719008239010113738093698684260813124595196400607508732345847441881649140900233797951669801335246022247851524088679785792063909475848584902298997670832351705956075806949761043978164521384194088614594283113562690930850594013047326083739868480218017871591906362061289011744370493148932563441943096292456879064153223902896203930387295074984335269024120518646534933571893865852803709995299554184605139986473921451165948726681039982439013340020504354945254850690754696706653158897555443731597992277361742178461174609681265697270230375580248444334611114432197366951560504031190056638774278793040807049476618979197466337793999564716232145235717736788872312021220360350332286622247273385378404992553152695462302247258766462760197697114938006213305845781594895541741627170999315675765752097
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 2,685-digit prime (204 intermediate primes).

Certified number2,685-digit prime
Certificatedownload
Certificate chainshow step 54 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009009286106 --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":1100000009009286106},"decimal":true,"detail":2}}'