A308635 - OEIS

A308635

Sequence of 4 Pythagorean triangles, each with a leg and hypotenuse prime. The hypotenuse of each triangle is the leg of the next triangle.

169219, 1370269, 5965699, 15227879, 17750981, 19342559, 21828601, 24861761, 27379621, 34602049, 39844619, 48719711, 50049281, 51649019, 52187371, 52816609, 58026659, 73659239, 79782821, 86569771, 91316801, 96842831, 104572009

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

OFFSET

1,1

LINKS

Ray Chandler, Table of n, a(n) for n = 1..2625

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

EXAMPLE

p(1)=169219, q=14317534981, r=102495903966079335181, s=5252705164911878795670904374881472151381, ...

CROSSREFS

Cf. A048161, A048270, A048295, A308636. Primes in A188547.

Sequence in context: A156427 A185474 A034211 * A210152 A089203 A236054

Adjacent sequences: A308632 A308633 A308634 * A308636 A308637 A308638

KEYWORD

nonn

AUTHOR

Ray Chandler, Jun 12 2019

STATUS

approved