login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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. 7
271, 349, 3001, 10099, 11719, 12281, 25889, 39901, 46399, 63659, 169219, 250361, 264169, 287629, 289049, 312581, 353081, 440681, 473009, 502501, 502961, 541951, 594751, 620491, 627911, 632699, 704581, 757111, 762899, 922261, 959269 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Ray Chandler, Table of n, a(n) for n = 1..10000

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, A308635, A308636. Primes in A188546.

Sequence in context: A104844 A086003 A174402 * A257210 A020363 A051965

Adjacent sequences:  A048292 A048293 A048294 * A048296 A048297 A048298

KEYWORD

nonn

AUTHOR

Harvey Dubner (harvey(AT)dubner.com)

EXTENSIONS

More terms from Ray Chandler, Jun 12 2019

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 2 21:30 EDT 2021. Contains 346429 sequences. (Running on oeis4.)