A363459 Sum of the first n prime powers A246655.

2, 5, 9, 14, 21, 29, 38, 49, 62, 78, 95, 114, 137, 162, 189, 218, 249, 281, 318, 359, 402, 449, 498, 551, 610, 671, 735, 802, 873, 946, 1025, 1106, 1189, 1278, 1375, 1476, 1579, 1686, 1795, 1908, 2029, 2154, 2281, 2409, 2540, 2677, 2816, 2965, 3116, 3273, 3436

Offset: 1

Author

Bartlomiej Pawlik, Jun 03 2023

Keywords

• nonn

Comments

Partial sums of A246655.

If we consider 1 as a prime power, we get A024918.

Examples

			The first five terms of A246655 are 2,3,4,5,7, so a(5) = 2+3+4+5+7 = 21.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000961, A007504, A024918, A057820, A246655.

Programs

Mathematica

FoldList[Plus, Select[Range[150], PrimePowerQ]] (* Amiram Eldar, Jun 22 2025 *)

Formula

a(n) = A024918(n+1) - 1.