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  2. Prime triplet - Wikipedia

    en.wikipedia.org/wiki/Prime_triplet

    A prime can be a member of up to three prime triplets - for example, 103 is a member of (97, 101, 103), (101, 103, 107) and (103, 107, 109).When this happens, the five involved primes form a prime quintuplet.

  3. Pythagorean triple - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_triple

    Animation demonstrating the smallest Pythagorean triple, 3 2 + 4 2 = 5 2. A Pythagorean triple consists of three positive integers a, b, and c, such that a 2 + b 2 = c 2. Such a triple is commonly written (a, b, c), a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.

  4. Formulas for generating Pythagorean triples - Wikipedia

    en.wikipedia.org/wiki/Formulas_for_generating...

    Wade and Wade [17] first introduced the categorization of Pythagorean triples by their height, defined as c − b, linking 3,4,5 to 5,12,13 and 7,24,25 and so on. McCullough and Wade [ 18 ] extended this approach, which produces all Pythagorean triples when k > h √ 2 / d : Write a positive integer h as pq 2 with p square-free and q positive.

  5. Tercet - Wikipedia

    en.wikipedia.org/wiki/Tercet

    English-language haiku is an example of an unrhymed tercet poem. A poetic triplet is a tercet in which all three lines follow the same rhyme, AAA; triplets are rather rare; they are more customarily used sparingly in verse of heroic couplets or other couplet verse, to add extraordinary emphasis.

  6. Tree of primitive Pythagorean triples - Wikipedia

    en.wikipedia.org/wiki/Tree_of_primitive...

    [6]: p.7 For example, parent (3, 4, 5) has excircle radii equal to 2, 3 and 6. These are precisely the inradii of the three children (5, 12, 13), (15, 8, 17) and (21, 20, 29) respectively. If either of A or C is applied repeatedly from any Pythagorean triple used as an initial condition, then the dynamics of any of a , b , and c can be ...

  7. Category:Triplets - Wikipedia

    en.wikipedia.org/wiki/Category:Triplets

    English. Read; Edit; View history; Tools. Tools. ... out of 3 total. + Fictional triplets (17 P) A. American triplets (7 P) I. Identical triplets (4 P) Pages in ...

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