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 A273929 Numbers that are congruent to {5, 6, 7} mod 8 and are squarefree. 5
 5, 6, 7, 13, 14, 15, 21, 22, 23, 29, 30, 31, 37, 38, 39, 46, 47, 53, 55, 61, 62, 69, 70, 71, 77, 78, 79, 85, 86, 87, 93, 94, 95, 101, 102, 103, 109, 110, 111, 118, 119, 127, 133, 134, 141, 142, 143, 149, 151, 157, 158, 159, 165, 166, 167, 173, 174 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS It has been shown, conditional on the Birch Swinnerton-Dyer conjecture, that this sequence is a subset of the primitive congruent numbers (A006991). The union of this sequence with A062695 gives A006991. Also this sequence is the intersection of A047574 and A005117. LINKS Keith Conrad, The Congruent Number Problem, The Harvard College Mathematics Review, 2008 MATHEMATICA Select[Range[1000], MemberQ[{5, 6, 7}, Mod[#, 8]] && SquareFreeQ[#] &] PROG (PARI) is(n) = n % 8 > 4 && issquarefree(n) \\ Felix FrÃ¶hlich, Jun 04 2016 (MAGMA) [n: n in [1..250] | n mod 8 in [5, 6, 7] and IsSquarefree(n)]; // Vincenzo Librandi, Jun 06 2016 CROSSREFS Cf. A005117, A006991, A047574, A062695. Sequence in context: A003273 A006991 A047574 * A067531 A031029 A134985 Adjacent sequences:  A273926 A273927 A273928 * A273930 A273931 A273932 KEYWORD nonn AUTHOR Frank M Jackson, Jun 04 2016 STATUS approved

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Last modified August 7 17:44 EDT 2020. Contains 336278 sequences. (Running on oeis4.)