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 A103606 Primitive Pythagorean triples in nondecreasing order of perimeter, with each triple in increasing order, and if perimeters coincide then increasing order of the even members. 25
 3, 4, 5, 5, 12, 13, 8, 15, 17, 7, 24, 25, 20, 21, 29, 12, 35, 37, 9, 40, 41, 28, 45, 53, 11, 60, 61, 16, 63, 65, 33, 56, 65, 48, 55, 73, 13, 84, 85, 36, 77, 85, 39, 80, 89, 20, 99, 101, 65, 72, 97 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The NAME was corrected by a proposal of Wolfdieter Lang. - Ralf Steiner, Sep 29 2019 The corresponding perimeters are given in A024364. - Wolfdieter Lang, Oct 06 2014 Note that the multiplicity of primitive Pythagorean triples (increasingly ordered) with perimeter P is not always 1. See A024408 for P numbers with multiplicity k >= 2, and the first example with k = 2 for P = 1716. - Wolfdieter Lang, Sep 24 2019 LINKS Jean-François Alcover, Table of n, a(n) for n = 1..3975 Ron Knott, The Pythagorean triples. Michael Penn, Number Theory | Primitive Pythagorean Triples, Youtube video, 2019. MATHEMATICA A103605 = Cases[Import["https://oeis.org/A103605/b103605.txt", "Table"], {_, _}][[All, 2]]; SortBy[Select[Partition[A103605, 3], GCD @@ # == 1&], {#[[1]] + #[[2]] + #[[3]]&, If[EvenQ[#[[1]]], #[[1]], #[[2]]]&}] // Flatten (* Jean-François Alcover, May 26 2020 *) CROSSREFS Subsequence of A103605. Cf. A024364, A024408. Sequence in context: A139369 A151555 A263728 * A139794 A202819 A185383 Adjacent sequences:  A103603 A103604 A103605 * A103607 A103608 A103609 KEYWORD easy,nonn,tabf AUTHOR Alexandre Wajnberg, Mar 24 2005 EXTENSIONS Corrected at the suggestion of Ralf Steiner by Wolfdieter Lang, Sep 24 2019 Errors in b-file noticed by Kevin Ryde corrected by Jean-François Alcover, May 26 2020 STATUS approved

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Last modified August 8 05:50 EDT 2020. Contains 336290 sequences. (Running on oeis4.)