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

1,1

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

Formula

Primes p such that A099302(p) > 0.

Crossrefs

Cf. A003415, A099302, A157037.

Sequence in context: A280266 A370008 A243457 * A106986 A218011 A242255

Adjacent sequences: A189438 A189439 A189440 * A189442 A189443 A189444

Keyword

nonn

Author

T. D. Noe, Apr 22 2011

Status

approved