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

5, 41, 73, 149, 157, 277, 313, 613, 617, 709, 929, 1117, 1201, 1741, 1753, 1873, 2381, 2897, 2969, 3469, 3613, 3637, 3697, 4513, 4597, 5101, 5953, 6173, 6857, 6869, 7577, 8089, 8581, 9661, 10369, 10513, 11717, 12097, 12653, 12973, 13001, 13649, 14461, 15313

Offset

1,1

Links

Zak Seidov, Table of n, a(n) for n = 1..2000

Example

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

Crossrefs

Cf. A002144.

Sequence in context: A276916 A203018 A349786 * A031917 A139846 A201718

Adjacent sequences: A199689 A199690 A199691 * A199693 A199694 A199695

Keyword

nonn

Author

Zak Seidov, Nov 09 2011

Status

approved