A068526 Numbers n such that prime(n+1)-prime(n) = tau(n) = A000005(n).

1, 2, 3, 5, 6, 7, 8, 13, 14, 17, 18, 22, 24, 27, 32, 38, 41, 43, 65, 76, 80, 83, 85, 89, 93, 95, 109, 113, 122, 128, 134, 135, 143, 155, 159, 164, 173, 180, 183, 186, 188, 213, 226, 235, 237, 243, 245, 246, 247, 248, 249, 254, 275, 277, 284, 287, 292, 301, 303

Offset: 1

Author

Benoit Cloitre, Mar 21 2002

Keywords

• easy
• nonn

Examples

			1 has 1 divisor, prime(1) is 2, and 2+1=3 is prime(1+1), so 1 is in the sequence.
2 has 2 divisors, prime(2) is 3, and 3+2=5 is prime(2+1), so 2 is in the sequence.
		

Links

• R. J. Mathar, Table of n, a(n) for n = 1..10159

Programs

Maple

with(numtheory): A068526:=n->`if`(ithprime(n+1)-ithprime(n)=tau(n), n, NULL): seq(A068526(n), n=1..500); # Wesley Ivan Hurt, Apr 10 2015