Pronic number
A pronic number is a number which is the product of two consecutive integers, that is, a number of the form n(n + 1). The study of these numbers dates back to Aristotle. They are also called oblong numbers, heteromecic numbers, or rectangular numbers; however, the term "rectangular number" has also been applied to the composite numbers. The first few pronic numbers are: 0, 2, 6, 12, 20, 30, 42, 56, 72, 90, 110, 132, 156, 182, 210, 240, 272, 306, 342, 380, 420, 462 … (sequence in the OEIS). If n is a pronic number, then the following is true:
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1,000,0001000 (number)110 (number)12 (number)132 (number)156 (number)182 (number)22000 (number)20 (number)210 (number)240 (number)270 (number)3000 (number)300 (number)30 (number)4000 (number)400 (number)420 (number)42 (number)500 (number)56 (number)6600 (number)7000 (number)700 (number)72 (number)800 (number)900 (number)90 (number)Centered hexagonal numberComposite numberCrown graphDecagonal numberDodecagonal numberEuclid's theoremHeteromecic numberLambek–Moser theoremList of integer sequencesList of recreational number theory topics
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Pronic number
A pronic number is a number which is the product of two consecutive integers, that is, a number of the form n(n + 1). The study of these numbers dates back to Aristotle. They are also called oblong numbers, heteromecic numbers, or rectangular numbers; however, the term "rectangular number" has also been applied to the composite numbers. The first few pronic numbers are: 0, 2, 6, 12, 20, 30, 42, 56, 72, 90, 110, 132, 156, 182, 210, 240, 272, 306, 342, 380, 420, 462 … (sequence in the OEIS). If n is a pronic number, then the following is true:
has abstract
A pronic number is a number wh ...... r, then the following is true:
@en
Eine Rechteckzahl, Rechtecksza ...... len und Quadratzahlen gehören.
@de
En arithmétique géométrique, u ...... 342 et 380 (suite de l'OEIS).
@fr
Rektangeltal (kallas även pron ...... ta primfaktorer i n och n + 1.
@sv
Um número oblongo, número reta ...... al é sempre um número oblongo.
@pt
Un numero oblungo (o numero pr ...... distinti dei suoi due fattori.
@it
Un número oblongo, número rect ...... do relacionado con Matemática.
@es
Прямокутне число - число, яке ...... х простих множників n і n + 1.
@uk
Прямоуго́льное число́ — число, ...... простых множителей n и n + 1.
@ru
在數學中，普洛尼克数（pronic number），也叫矩形 ...... 352, 2450, 2550, ...（OEIS中的数列）
@zh
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A pronic number is a number wh ...... r, then the following is true:
@en
Eine Rechteckzahl, Rechtecksza ...... lge erst mit der Zwei beginnt.
@de
En arithmétique géométrique, u ...... 342 et 380 (suite de l'OEIS).
@fr
Rektangeltal (kallas även pron ...... is är alltid ett rektangeltal.
@sv
Um número oblongo, número reta ...... ção geométrica característica:
@pt
Un numero oblungo (o numero pr ...... le è sempre un numero oblungo.
@it
Un número oblongo, número rect ...... do relacionado con Matemática.
@es
Прямокутне число - число, яке ...... них тільки число 2 є простим.
@uk
Прямоуго́льное число́ — число, ...... ованного шестиугольного числа.
@ru
在數學中，普洛尼克数（pronic number），也叫矩形 ...... 352, 2450, 2550, ...（OEIS中的数列）
@zh
label
Nombre oblong
@fr
Numero oblungo
@it
Número oblongo
@es
Número oblongo
@pt
Pronic number
@en
Rechteckzahl
@de
Rektangeltal
@sv
Прямокутне число
@uk
Прямоугольное число
@ru
普洛尼克数
@zh