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• ... Hash: SHA1 ... No, the first counter-example is 2 + 3 + 5 + ... + 71 + 73 = 712. 712 + 2 = 714 is even and 712 + 3 = 715 is divisible by 5. Décio ...
Message 1 of 62 , Jun 22, 2004
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On Tuesday 22 June 2004 19:21, you wrote:
> I have found that the sum of all the prime number to a number plus 2
> or 3 alternating gives a prime number
>
> for example:
>
> 2 +3 = 5
> 2+3 +2 = 7
> 2+3+5 +3 = 13
> 2+3+5+7 +2 = 19
> 2+3+5+7+11 + 3 = 31
> 2+3+5+7+11+13 +2 = 43
> ect.
>
> I will like to know if this is thruth in all the cases

No, the first counter-example is 2 + 3 + 5 + ... + 71 + 73 = 712. 712 + 2 =
714 is even and 712 + 3 = 715 is divisible by 5.

Décio
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• ... No it doesn t, it fails for: # terms sum 21 715 22 793 24 965 27 1267 30 1595 etc.
Message 62 of 62 , Jun 22, 2004
At 06:21 PM 6/22/2004, edmorrey wrote:
>I have found that the sum of all the prime number to a number plus 2
>or 3 alternating gives a prime number
>
>for example:
>
>2 +3 = 5
>2+3 +2 = 7
>2+3+5 +3 = 13
>2+3+5+7 +2 = 19
>2+3+5+7+11 + 3 = 31
>2+3+5+7+11+13 +2 = 43
>ect.
>
>I will like to know if this is thruth in all the cases

No it doesn't, it fails for:

# terms sum
21 715
22 793
24 965
27 1267
30 1595
etc.
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