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A189441 Primes that are the arithmetic derivative (A003415) of some number. 4


%S 5,7,13,19,31,41,43,59,61,71,73,101,103,109,113,131,139,151,167,181,

%T 191,193,199,211,227,229,239,241,251,263,269,271,281,283,293,311,313,

%U 331,347,349,359,383,401,419,421,431,433,439,461,463,467,479,487,491

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

%C 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.

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

%H T. D. Noe, <a href="/A189441/b189441.txt">Table of n, a(n) for n = 1..1000</a>

%F Primes p such that A099302(p) > 0.

%Y Cf. A003415, A099302, A157037.

%K nonn

%O 1,1

%A _T. D. Noe_, Apr 22 2011

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Last modified June 25 20:26 EDT 2017. Contains 288730 sequences.