A373294 a(n) is the number of n-digit primes that have at least one zero among their digits (A056709).

0, 0, 15, 204, 2251, 23715, 240528, 2391394, 23540109, 230318080, 2244729936, 21819401038, 211711461260, 2051836712085

Offset: 1

Author

Gonzalo Martínez, May 30 2024

Keywords

• nonn
• base
• more

Examples

			For n = 3, the 3-digit prime numbers that have the digit 0 are 101, 103, 107, 109, 307, 401, 409, 503, 509, 601, 607, 701, 709, 809 and 907. Therefore, a(3) = 15.
		

Crossrefs

First differences of A091644.

Cf. A000040, A006879, A056709.

Programs

PARI

a(n) = my(s=0); forprime(p=10^(n-1), 10^n-1, if (vecmin(digits(p)) == 0, s++)); s; \\ Michel Marcus, May 31 2024

Formula

a(n) = A091644(n) - A091644(n-1) for n > 1. - Michael S. Branicky, May 31 2024

Extensions

More terms (using A091644) from Michael S. Branicky, May 30 2024