Primes whose digits sum to a prime

AI Thread Summary
Prime numbers whose digits sum to a prime are referred to as "additive primes." The discussion highlights the example of the prime number 83, where the sum of its digits (8+3) equals 11, which is also prime. There is curiosity about whether there are infinitely many such primes. The OEIS entry A046704 provides further information on this topic. The concept of additive primes offers a fascinating area for exploration in number theory.
Mooky
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Is there a name for prime numbers whose digits sum to a prime number? For example, the prime 83 gives 8+3=11, a prime. Is there anything known about these primes, e.g. are there infinitely many of them?

Thanks,
M
 
Mathematics news on Phys.org
OEIS http://oeis.org/A046704 calls these "additive primes" and Google finds others using this name. Perhaps that is enough to start your quest.
 

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