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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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-----END PGP SIGNATURE----- - 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

No it doesn't, it fails for:

>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

# terms sum

21 715

22 793

24 965

27 1267

30 1595

etc.