A262199 a(n) = prime(n)^3 - prime(n^3).

6, 8, 22, 32, 640, 876, 2604, 3188, 6648, 16470, 18834, 35900, 49518, 54698, 72504, 110004, 157722, 169422, 231732, 276112, 292880, 380748, 441714, 555252, 741144, 835258, 871866, 976192, 1015598, 1130314, 1700676, 1861998, 2144184

Offset: 1

Author

Altug Alkan, Sep 14 2015

Keywords

• nonn
• easy

Comments

Commutator of (primes, cubes) at n.

All terms are even. For PrimePi(n^3) - PrimePi(n)^3 see A291538. - Jonathan Sondow, Sep 10 2017

Examples

			For n = 2, a(n) = prime(n)^3 - prime(n^3) = 3^3 - 19 = 8.
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..300

Crossrefs

Cf. A123914, A030078, A055875. Twice A143680.

Cf. A291538, A291541, A291542.

Programs

Magma

[NthPrime(n)^3 - NthPrime(n^3): n in [1..40]]; // Vincenzo Librandi, Sep 15 2015

Mathematica

Table[Prime[n]^3 - Prime(n^3), {n, 40}] (* Alonso del Arte, Sep 14 2015 *)

PARI

a(n) = prime(n)^3 - prime(n^3);
vector(35,n,a(n))

Formula

a(n) = A030078(n) - A055875(n).

a(n) = A291542(n) + A291541(n). - Jonathan Sondow, Sep 10 2017