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A048295 Sequence of 3 Pythagorean triangles, each with a leg and hypotenuse prime. The hypotenuse of each triangle is the leg of the next triangle. 2
271, 349, 3001, 10099, 11719, 12281, 25889, 39901, 46399, 63659, 250361, 264169, 287629, 289049, 312581, 353081, 440681, 473009 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..18.

H. Dubner and T. Forbes, Prime Pythagorean triangles, J. Integer Seqs., Vol. 4 (2001), #01.2.3.

FORMULA

For each p(n), q=(p*p+1)/2, r=(q*q+1)/2, s=(r*r+1)/2 and p, q, r, s are all prime.

EXAMPLE

p(5)=271, q=36721, r=674215921, s=227283554064939121.

CROSSREFS

Cf. A048161, A048270.

Sequence in context: A104844 A086003 A174402 * A257210 A020363 A051965

Adjacent sequences:  A048292 A048293 A048294 * A048296 A048297 A048298

KEYWORD

nonn,more

AUTHOR

Harvey Dubner (harvey(AT)dubner.com)

STATUS

approved

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Last modified May 26 17:36 EDT 2019. Contains 323597 sequences. (Running on oeis4.)