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A199692 Subsequence of Pythagorean primes (A002144): each square is used only once. 1

%I #9 Oct 30 2018 10:31:02

%S 5,41,73,149,157,277,313,613,617,709,929,1117,1201,1741,1753,1873,

%T 2381,2897,2969,3469,3613,3637,3697,4513,4597,5101,5953,6173,6857,

%U 6869,7577,8089,8581,9661,10369,10513,11717,12097,12653,12973,13001,13649,14461,15313

%N Subsequence of Pythagorean primes (A002144): each square is used only once.

%H Zak Seidov, <a href="/A199692/b199692.txt">Table of n, a(n) for n = 1..2000</a>

%e First Pythagorean prime A002144(1)=5=1+4, "uses" squares 1^2 and 2^2.

%e Next Pythagorean prime which does not "use" 1^2 and 2^2 is A002144(6)=41=4^2+5^2, hence a(2)=41.

%e Next Pythagorean prime which does not "use" 1^2, 2^2, 4^2 and 5^2 is A002144(9)=73=3^2+8^2, hence a(3)=73.

%e Next Pythagorean prime which does not "use" 1^2, 2^2, 3^2, 4^2, 5^2 and 8^2 is A002144(16)=149=7^2+10^2, hence a(4)=149.

%Y Cf. A002144.

%K nonn

%O 1,1

%A _Zak Seidov_, Nov 09 2011

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)