A100486 a(n) = pi(n) + prime(n).

2, 4, 7, 9, 14, 16, 21, 23, 27, 33, 36, 42, 47, 49, 53, 59, 66, 68, 75, 79, 81, 87, 92, 98, 106, 110, 112, 116, 119, 123, 138, 142, 148, 150, 160, 162, 169, 175, 179, 185, 192, 194, 205, 207, 211, 213, 226, 238, 242, 244, 248, 254, 257, 267, 273, 279, 285, 287

Offset: 1

Author

Jonathan Vos Post, Nov 22 2004

Keywords

• easy
• nonn

Examples

			a(21) = pi(21) + prime(21) = 8 + 73 = 81.
		

Links

• Indranil Ghosh, Table of n, a(n) for n = 1..10410

Crossrefs

Cf. A000040, A000720, A065042, A100917.

Programs

Magma

[#PrimesUpTo(n) + NthPrime(n): n in [1..80]]; // G. C. Greubel, Apr 04 2023

Maple

with(numtheory); A100486:=n->pi(n) + ithprime(n); seq(A100486(n), n=1..60); # Wesley Ivan Hurt, Jan 28 2014

Mathematica

Table[PrimePi[n] + Prime[n], {n, 60}]

PARI

a(n) = primepi(n) + prime(n); \\ Michel Marcus, Feb 24 2023

SageMath

[prime_pi(n) + nth_prime(n) for n in range(1,81)] # G. C. Greubel, Apr 04 2023

Formula

a(n) = A000720(n) + A000040(n). - Wesley Ivan Hurt, Jan 28 2014