A positive integer is called an(adsbygoogle = window.adsbygoogle || []).push({}); additive prime numberif it is prime and the sum of its digits is also prime. For example, 11 and 83 are additive prime numbers. OEIS gives the sequence of additive primes the number http://oeis.org/A046704" [Broken] for that info).

I've done many Google and MathSciNet searches and could find nothing whatsoever about these numbers. Are there infinitely many of them? What is their density within the primes? There are many questions that could be asked about these, but it appears no one cares. Why is that? Does anyone know anything at all about additive primes, or can offer a link to someone who does?

Thank you,

Mooky

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# Additive Prime Numbers: Is There Anything Known About them?

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