A291542 a(n) = prime(n)^3 - prime(n) * prime(n^2).

4, 6, 10, -28, 264, 234, 1054, 950, 2530, 8700, 9300, 20054, 27552, 28208, 36754, 63070, 94518, 96258, 137484, 163300, 163958, 219620, 256138, 330190, 462884, 520150, 524270, 582294, 588600, 652236, 1086612, 1179000, 1374384, 1387220, 1828230, 1838274, 2092496, 2366760, 2529382, 2842390

Offset: 1

Author

Jonathan Sondow, Aug 25 2017

Keywords

• sign

Comments

Same as prime(n) * A123914(n). See A123914 for other comments and formulas.

All terms are even.

For prime(n)^3 - prime(n^3) see A262199.

For prime(n) * prime(n^2) - prime(n^3) see A291541.

For PrimePi(n) * PrimePi(n^2) - PrimePi(n)^3 see A291540.

Examples

			a(4) = prime(4)^3 - prime(4) * prime(16) = 7^3 - 7*53 = -28.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000040, A000720, A123914, A262199, A291440, A291538, A291539, A291540, A291541.

Programs

Maple

seq(ithprime(n)^3 - ithprime(n)*ithprime(n^2), n=1..100); # Robert Israel, Sep 11 2017

Mathematica

Table[ Prime[n]^3 - Prime[n] * Prime[n^2], {n, 40}]

PARI

a(n) = prime(n)^3 - prime(n) * prime(n^2); \\ Michel Marcus, Sep 10 2017

Formula

a(n) + A291541(n) = A262199(n).