Re: Digest Number 2789

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• ... [snip] ... 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
Message 1 of 2 , Aug 29, 2009
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--- 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
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