A093365 Least number which is the end of an arithmetic progression of n numbers that are the sums of two nonzero squares.

2, 5, 8, 26, 34, 65, 146, 170, 194, 218, 242, 1445, 2225, 2309, 2393, 2477, 2561, 2645, 2729, 2813, 2897, 71633, 479581, 664445, 685697, 1141625, 1184129, 4281133, 4344889, 4408645, 31694041, 32519173, 33344305

Offset: 1

Author

Hugo Pfoertner, Apr 27 2004

Keywords

• nonn

Comments

The next term is > 225000000.

Examples

			Example: a(6)=65: 5=2^2+1^2, 17=4^2+1^2, 29=5^2+2^2, 41=5^2+4^2, 53=7^2+2^2, 65=7^2+4^2.
		

Links

• Ben Green and Terence Tao, The primes contain arbitrarily long arithmetic progressions

Crossrefs

Arithmetic progressions in A000404. For gaps see A093366.

Cf. A005115, arithmetic progressions of primes.

Extensions

More terms from Hugo Pfoertner, Apr 29 2004

Corrected erroneous terms starting at a(28) Hugo Pfoertner, Oct 15 2010