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

1,1

Comments

The next term is > 225000000.

Links

Table of n, a(n) for n=1..33.

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

Example

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.

Crossrefs

Arithmetic progressions in A000404. For gaps see A093366.

Cf. A005115, arithmetic progressions of primes.

Sequence in context: A142869 A086825 A192476 * A209865 A128600 A078993

Adjacent sequences: A093362 A093363 A093364 * A093366 A093367 A093368

Keyword

nonn

Author

Hugo Pfoertner, Apr 27 2004

Extensions

More terms from Hugo Pfoertner, Apr 29 2004

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

Status

approved