First 11 values of A121387 coincide with apparently unrelated new seq
franktaw at netscape.net
franktaw at netscape.net
Sat Jun 23 05:23:29 CEST 2007
There aren't any triple solutions.
This gets a bit deeper into the number theory, but in general the
number of solutions is 2^(omega(n)-1), where omega(n) is the number of
distinct prime divisors of n (all of which are = 1 (mod 4)). So, for a
semiprime, there are always exactly two solutions, except in the case
of p^2, where there is only one.
Franklin T. Adams-Watters
-----Original Message-----
From: jonathan post <jvospost2 at yahoo.com>
Franklin T. Adams-Watters is 100% correct.
The open issue being the multiplicity of such
solutions. The table I gave in seqfans through n=41
shows a number of double solutions, i.e. semiprime
Pythagorean triple hypotenuses in two different ways.
What is the first triple solution?
Perhaps I should make a seq of the first k-tuple
solution of semiprime Pythagorean triple hypotenuses.
Or pehaps not. Thought and feelings?
________________________________________________________________________
Check Out the new free AIM(R) Mail -- 2 GB of storage and
industry-leading spam and email virus protection.
More information about the SeqFan
mailing list