Primes whose digits sum to a prime

Click For 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
Messages
20
Reaction score
0
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.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 0 ·
Replies
0
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 24 ·
Replies
24
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 12 ·
Replies
12
Views
5K