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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 #1100000010597031166 2,445 digits created 2026-10-06

Value

202190134742347248228956993657715471873593762690152350360820974732737031035415434418985768499676230757904313431114831749003338433686012854238175703883459220256246266337730290294253259369531279535973318299254088149677495052080017142748354811044719341053065446249576461111131170352198594839492914768288466672591361092413664097779570363097759508774738859972880342255534492921576382498256217018009579903716191683601020098854435177421481669410733436380512823368626787230253467837879913390899066524599975121698983947100441397794655541114741069756983582812979937491231898650367093309631510444701861977844445629581252909347178629043522903275439385122634281239918941948706200815094291338018519155984769083667870966722089006276484923115454405632448913659038970668135868619059501809146408314321783341650280783020857876791120795451302316875535188437612681597939193008599135385100922398159147369744776411648531719882614736343185680754168618314859953062350084673823699620160276775421195492104464324173191135776296982191201612917747710611687824114924201662926232497418205676924410326880369731052157875615755724758717392072921832652288001812504881412141244384575595836712999581380089315215086690344737350331968249741112563167646977212627207339331313593359660545493380353901423172373720874186945068305618423177967843037238081316373091330294150449463510547931247709663210189563675564638469603355475154662759393980183585755297092194222988986772378575874964748303336529101314321764035710348946491441128814731248839884182521343928517582796675469371190930459833152128901674129554600069679590213091175538326871714638850933843992768285966639006510329657661398333431102434551385340236309058262378911203856546595259080984825774529832986997576281653335761679694093390771339154339628733103660941944441042930818214296398349997819062402065215250814216892764409453438200598599234283306860852958461245181308666076128849835687567323579760779457780134611293371134883117675188626783095072749051358941958248400689861535922852786468753996019645119529974624850441865008687342605208878796467991623805773509904294038005982370714236059346912490872270543037150036960297251718829986054211929194319989681885552879610232627465171292506336992516761301084149667856963635161550599909603335048479602526086700921232127266597647156710310112993479015830412172931233744835729692955030933851935154492267514697880208648013365848238110219322548602985275781896212169423182830901999318613115152999782271
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 73 of the certificate chain of a 3,200-digit prime (327 intermediate primes).

Certified number3,200-digit prime
Certificatedownload
Certificate chainshow step 73 of 327

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010597031166 --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":1100000010597031166},"decimal":true,"detail":2}}'