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| ``Re: Arithmetic Progressions of Prime Numbers''
by Manoj on 2003-07-17 16:16:25 |
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| Yup Buddy, I knew it. It was proved in '40s (I guess) by S.S.Pillai.
However, we don't know if there are infinitely many arithmetic progressions of three "consecutive" primes. (Like 7,13,19 are primes
in AP but are not consecutive primes as 11 comes between 7 and 13;
and in fact 17 also causesa "problem"). Longest known AP of consecutive primes has length 10. |
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