--- In

primenumbers@yahoogroups.com, Kermit Rose <kermit@...> wrote:

>

[snip]

>

> Consider for example the following distribution of pairs , with the

> smaller integer being prime, that add to 128

>

>

> 1 + 127 = 128

> 3 + 125 = 128

> 5 + 123 = 128

> 7 + 121 = 128

> 11 + 117 = 128

> 13 + 115 = 128

> 17 + 111 = 128

> 19 + 109 = 128 *

> 23 + 105 = 128

> 29 + 99 = 128

> 31 + 97 = 128 *

> 37 + 91 = 128

> 41 + 87 = 128

> 43 + 85 = 128

> 47 + 81 = 128

> 53 + 75 = 128

> 59 + 69 = 128

>

> Only two of the pairs have the larger being prime.

>

> This is at variance from the expected according to the law of prime

> distribution.

>

Don't forget the wonderful

61 + 67 = 128

which makes for a third pair.

Still, to me it is crazy that five pairs of primes add up to 64 and yet only three pairs of primes add up to 128.

Mark