A338529 a(n) = prime(n+2)*prime(n+3)-prime(n)*prime(n+1).

29, 62, 108, 144, 180, 216, 344, 462, 480, 618, 616, 504, 728, 1106, 1108, 960, 1158, 1096, 1010, 1374, 1620, 2076, 2410, 1770, 1224, 1260, 1296, 2688, 4320, 3596, 2406, 2764, 3456, 2996, 3092, 3514, 3300, 3746, 3508, 3604, 4464, 3450, 2340, 3968, 7850, 8632, 4930, 2736, 3704, 4242, 4804, 6908

Offset: 1

Author

J. M. Bergot and Robert Israel, Nov 01 2020

Keywords

• nonn
• look

Comments

a(n) > (A001223(n)+2*A001223(n+1)+A001223(n+2))*prime(n).

In particular, a(n) > 12*prime(n).

Examples

			The third through sixth primes are 5,7,11,13, so a(3) = 11*13-5*7 = 108.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000
• Robert Israel, Plot of a(n)/n for 1 <= n <= 30000

Crossrefs

Cf. A338533, A338537.

Programs

Maple

seq(ithprime(n+2)*ithprime(n+3)-ithprime(n)*ithprime(n+1), n=1..1000);