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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. 6
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
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
Sequence in context: A156427 A185474 A034211 * A210152 A089203 A236054
KEYWORD
nonn
AUTHOR
Ray Chandler, Jun 12 2019
STATUS
approved

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Last modified June 19 23:45 EDT 2024. Contains 373510 sequences. (Running on oeis4.)