A024408 Perimeters of more than one primitive Pythagorean triangle.

1716, 2652, 3876, 3960, 4290, 5244, 5700, 5720, 6900, 6930, 8004, 8700, 9300, 9690, 10010, 10788, 11088, 12180, 12876, 12920, 13020, 13764, 14280, 15252, 15470, 15540, 15960, 16380, 17220, 17480, 18018, 18060, 18088, 18204, 19092, 19320, 20592, 20868

Offset: 1

Author

David W. Wilson

Keywords

• nonn

Comments

a(23) = 14280 is the first perimeter of 3 primitive Pythagorean triangles: {119, 7080, 7081}, {168, 7055, 7057} and {3255, 5032, 5993}. - Jean-François Alcover, Mar 14 2012

Examples

			a(1) = 1716 with precisely two primitive Pythagorean triangles (with increasing entries): {195, 748, 773} and {364, 627, 725}. From Ron Knott's link. This is the first example of the family of perimeters 12*b(k)*(b(k) + 2) with b(k) = A007528(k), for k >= 2. See the Bernstein link, p. 234, Theorem 5. a). - _Wolfdieter Lang_, Sep 24 2019
		

Links

• David A. Corneth, Table of n, a(n) for n = 1..10000
• Leon Bernstein, Primitive Pythagorean Triples, The Fibonacci Quarterly 20.3 (1982) 227-241.
• Ron Knott, Pythagorean Triples and Online Calculators
• Lindsay Witcosky, Perimeters of primitive Pythagorean triangles

Crossrefs

Cf. A007528, A024364, A103606.