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 #1100000004504651629 3,200 digits created 2023-04-13

Value

77498967889423160575931427250885980561228634200477663119021286673777073698067266089723217941469859480590770593805148716114158002026244111851803953428837521138165613110097896006371399269621745215220567564124611034319069646147727403361075445721819427404870492399217826952498731508902584499139750827918523553057251243528355732139098590828900779989535649161856288065628168556041789163995269422975404765177104884183683545236851948418259116297330896317471237397198445818099966821174607106987937507134356055337504777567581027776702634944723046465143280630904491921568960688532904960585107196482944238110126176980194103348768013970543219480139342226504427453469866304513981082398243253507170665934339774862957552512595561696453546729682660860062247201511960090672372879485876994936393337939244984216320678657311497582794455844623627077879840987578701656638133566108061471391602668523565002174787697065465759362713127342465768921730862431094411930234776442512408462687102470361849556018798882525422156214414401442717217730989097621282331878534831215287050507835526508929807622547931593241339119509233509284092055724131190347829916396293872608319087459522726041633517714656673544557124033604594677453855258523171497757045166528717852963957449227650396002051791437758974881206541616747361195023548550239578126964901564057395339287458731972284630764013432337780258882216879575535253687937240913661914706897897604512536704491556292154252101003607538933547613845087410042345614812258149892371816236991139236966544065180108332404301585451858504163395600706629405234339717770501623180330516734768462786873136485475117927156636184516214508709728597085679401327976261329496508053949138584494328023679706797122491152276405635933157031506953732919567561985894275026857502149789858452622886037566363406420514510946590697467054434365946815565108402476855063378580063606703190591208890070576544982180777242076366946917258854852382932960128400377359714457000934613309529041712255307908901272740921645561334997893133812255741684880014128228733554524014230052647387114829654190640533371452439578372259123367839938774061491053294328869795396332074981885823532857527814895089417288154191909952520899290454494122435771032379074848214801380500287076760757314013459282078179633241731260932983954047961663696237075198945106425126197929475507357809555007297026702155016705871217928842124364757959606187353294817210922627031328954131624264217565137157046600346264741266695892608692816115436696249582379137358074735861335210174605247456249376185954141128760042998301517935041166801177550288970617216583049828695690150766248985267423366714251523814352029737702380957576452248053602042866951135643792148449835647652682140774339270413535796308041422362575351483009739854497072224853755418742222135039651547551607128543796952280308888530926089619258339654671326809177229657440704343334103146202375866850062585664924102829409623353962584264440338592213299414451509405590521247153575966150795657778014365888412416584563854104518049007303323717381225053840036020042352024305305094090286736365685415959928969602925818915534273288885025508460769566154500127705369805583249344687329313669964379571590232486831993966270338684985298030155685917041
term (5^4604+527)/1474361712775066272
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (3,200 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byCimaron

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004504651629 --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":1100000004504651629},"decimal":true,"detail":2}}'