A109770 Prime(1^2) + prime(2^2) + ... + prime(n^2).

2, 9, 32, 85, 182, 333, 560, 871, 1290, 1831, 2492, 3319, 4328, 5521, 6948, 8567, 10446, 12589, 15026, 17767, 20850, 24311, 28114, 32325, 36962, 42013, 47532, 53539, 60020, 67017, 74590, 82751, 91488, 100829, 110760, 121387, 132708, 144757

Offset

1,1

Links

Table of n, a(n) for n=1..38.

Formula

Cumulative sum of A011757.

Example

a(1) = 2 = prime(1^2).
a(2) = 9 = 2 + 7 = prime(1^2) + prime(2^2).
a(3) = 32 = 2 + 7 + 23 = prime(1^2) + prime(2^2) + prime(3^2).
a(4) = 32 = 2 + 7 + 23 + 53 = prime(1^2) + prime(2^2) + prime(3^2) prime(4^2).
a(x) = 2+7+23+53+97+151+227+311+419+541+661+827+1009+1193+1427+1619+1879+2143+2437+2741+3083+3461+3803+4211+4637+5051+5519+6007+6481+6997+7573+8161+8737+9341+9931+10627+11321+12049+12743+13499+14327 = 185326.

Mathematica

Accumulate[Prime[Range[40]^2]] (* Harvey P. Dale, May 31 2014 *)

Crossrefs

Cf. A011757, A109724.

Sequence in context: A165653 A182265 A212873 * A242512 A198016 A082114

Adjacent sequences: A109767 A109768 A109769 * A109771 A109772 A109773

Keyword

nonn

Author

Jonathan Vos Post, Aug 13 2005

Status

approved