A189441 Primes that are the arithmetic derivative (A003415) of some number.

5, 7, 13, 19, 31, 41, 43, 59, 61, 71, 73, 101, 103, 109, 113, 131, 139, 151, 167, 181, 191, 193, 199, 211, 227, 229, 239, 241, 251, 263, 269, 271, 281, 283, 293, 311, 313, 331, 347, 349, 359, 383, 401, 419, 421, 431, 433, 439, 461, 463, 467, 479, 487, 491

Offset: 1

Author

T. D. Noe, Apr 22 2011

Keywords

• nonn

Comments

Complement of A189483 in the primes. Sequence A157037 has the numbers that produce these primes. It is possible for several numbers to produce the same prime. In fact, for each of these primes there is a tree of numbers whose (perhaps multiple) derivatives equal the prime.

Every upper twin prime is here because for such p, the derivative of 2(p-2) is p.

Links

• T. D. Noe, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A003415, A099302, A157037.

Formula

Primes p such that A099302(p) > 0.