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A189441
Primes that are the arithmetic derivative (A003415) of some number.
7
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.
FORMULA
Primes p such that A099302(p) > 0.
CROSSREFS
KEYWORD
nonn
AUTHOR
T. D. Noe, Apr 22 2011
STATUS
approved