**Mirror Primes**

A formula that generates the prime number sequence is the "holy grail" of mathematics. It's never been found.

But here's a bit of fun..

Write a prime number in binary notation. The first 20 primes are listed below.

For example 11=1011

Now reflect 11 in a mirror on the x-axis thus..

1011 | 1101

where | donates the mirror.

11 is prime, but its mirror reflection 1101 (13) is also prime. So 11 and 13 are mirror primes. They are also a prime pair.

Some primes are their own mirror, for example 5 is its own mirror, and so is 7.

Of the first 10 primes 8 are mirror primes!

But a word of caution. Be very careful about thinking you've found a property that applies to all primes just because it works for some examples you test.

2 10

3 11

5 101

7 111

11 1011

13 1101

17 10001

19 10011

23 10111

29 11101

31 11111

37 100101

41 101001

43 101011

47 101111

53 110101

59 111011

61 111101

67 1000011

71 1000111

Content written and posted by Ken Abbott abbottsystems@gmail.com