The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A228875 Pairs of Pythagorean numbers differing by 6. 2

%I #7 Oct 02 2013 13:33:35

%S 24,30,54,60,210,216,330,336,480,486,540,546,720,726,750,756,1344,

%T 1350,1710,1716,2160,2166,8664,8670,8970,8976,10080,10086,10290,10296,

%U 12144,12150,15600,15606,18144,18150,24570,24576,28560,28566,30240,30246,34650,34656

%N Pairs of Pythagorean numbers differing by 6.

%C These are pairs of terms of A009111 differing by 6 -- the least amount possible. Mohanty and Mohanty call these twin Pythagorean numbers. In Theorem 9, they prove that there are an infinite number of these numbers.

%H Supriya Mohanty and S. P. Mohanty, <a href="http://www.fq.math.ca/Scanned/28-1/mohanty.pdf">Pythagorean Numbers</a>, Fibonacci Quarterly 28 (1990), 31-42.

%Y Cf. A009111 (Pythagorean numbers).

%Y Cf. A228876, A228877 (upper and lower Pythagorean twins).

%K nonn

%O 1,1

%A _T. D. Noe_, Sep 24 2013

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 17 17:07 EDT 2024. Contains 372603 sequences. (Running on oeis4.)