Pronic
Definition, Meaning & Examples
Pronunciation /ˈpɹɒnɪk/ · Part of speech adjective
Quick meaning: Pronic is an adjective meaning (mathematics) Being the product of two consecutive integers.
Meaning
(mathematics) Being the product of two consecutive integers.
Example Sentences
It may be noted that if Lₙ is a pronic number, then Lₙ is two times a triangular number.
A pronic number is that which is equal to the sum of a square number and its root. Thus, 6, 12, 20, 30, &c. are pronic numbers.
1478 - Pierpaolo Muscharello, Algorismus p.163. Pronic root is as if you say, 9 times 9 makes 81. And now take the root of 9, which is 3, and this 3 is added above 81: it makes 84, so that the pronic root of 84 is said to be 3.
1794 - David Wilkie, Theory of interest, p.6, Edinburgh: Peter Hill, 1794. When a = 2, and d = 2 also, in this case, in equation 1st, s=n² + n = a pronic number, which is produced by the addition of even numbers in an arithmetic progression beginning at 2; and the pronic root scriptstyle n=(√4s+1-1)/2.
Synonyms for pronic
Depending on context, synonyms include heteromecic.
Related Words
Related dictionary entries include heteromecic, prime, procyclic, rational, semiprimal, trinominal.
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Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
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