A376428 - OEIS

A376428

Numbers k that occur as shorter legs of Pythagorean triangles with Pythagorean primes A002144 as hypotenuses.

3, 5, 8, 9, 11, 12, 15, 19, 20, 25, 28, 29, 32, 35, 39, 40, 45, 48, 49, 51, 52, 59, 60, 61, 65, 68, 69, 71, 72, 75, 79, 80, 85, 88, 95, 101, 105, 108, 112, 115, 120, 121, 129, 131, 132, 139, 140, 141, 145, 148, 159, 160, 165, 168, 169, 171, 175, 180, 181, 188, 189

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Distinct sorted terms of A002366.

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..10000

PROG

(PARI) isok(n)={ fordiv(n^2, d, my(t=n^2/d-d); if(t>0 && t%2==0, my(m=t/2, p=t/2+d); if(isprime(p) && m>n, return(1)))); 0 } \\ Andrew Howroyd, Jan 21 2026

CROSSREFS

Cf. A002144, A002365, A376429, A376430.

Subsequence of A020884.

Sequence in context: A134427 A394626 A065347 * A085722 A023980 A389618

Adjacent sequences: A376425 A376426 A376427 * A376429 A376430 A376431

KEYWORD

nonn

AUTHOR

Hugo Pfoertner, Sep 22 2024

STATUS

approved