A273354 Least number that is the sum of 2 positive cubes in exactly n ways and also the sum of 2 positive squares in exactly n ways.

2, 4624776

Offset: 1

Author

Altug Alkan, May 20 2016

Keywords

• nonn
• hard
• less
• more
• bref

Comments

4624776 is the first term of A272701.

A011541(k) is not the sum of two nonzero squares for 2 <= k <= 6.

If it exists, what is the a(3)?

Examples

			a(1) = 2 because 2 = 1^3 + 1^3 = 1^2 + 1^2.
a(2) = 4624776 because 4624776 = 51^3 + 165^3 = 72^3 + 162^3 = 1026^2 + 1890^2 = 1350^2 + 1674^2.
		

Crossrefs

Cf. A001235, A011541, A016032, A272701.