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 #1100000001028131243 1,688 digits created before Nov 2018

Value

29219264359769365584353215495844220196847107404501578529590404256611873346716394906570351038960321632387474198650767737728712427139151883127432822135515857948819690706208047256649118539866078669124498629271873022899489060407497102249431513420243503251351721124564520330299862095196680457989914659268916595594455311469936118051595710800042800142930352097920789305373827409685630324597647732112162079405497352556645545798994885871677621655212115558300732991219828265896936091329661500631375820457269742058690398659837972891543089837510011179989154178930133156526648797021001003106585703908574455674701017676917024946624650111125087395692027561455483819680216581053542752148555695144765017931544659508354962684286601999225875860268437413394345373336126132362869325161863668728629947629345105478951763315612020713435363479467146429909995562688276474010531404601657058770108478068340901128469572964243112024109391293111517991448793242839473931267079606989026256222681741142146701715939888590887837725256352447903047835077662237322086899426943506986599698159639080675921336810882909693192476738193341816858567624142691196653099040474167962868975998236033325085841393220841228550296881884879762001184099593705811094107223024696434288764795430672130419991189255324167876222716549646659682956515193836040495705448383709394948336673910582520375391714719478871507888854891441897277507432110574614359511599541999779792053564272043534267384817132302570459305207818537481040523229515384219274007987074265181521412027184754200005672083262458662718613872857485548643683234696022859411289420325601159717748590562155938857028453878985078332905593971575688230064971524451031106398736747072041922659374083333
term (477^631+1)/478
2921926435…33<1688>
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (1,688 digits).

Also proven by an N-1 test (Pocklington), base 2.

Certificatedownload
Certificate chainshow steps
Uploaded byGeoffrey Yeung

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000001028131243 --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":1100000001028131243},"decimal":true,"detail":2}}'