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Minimal difference of any increasing arithmetic progression of n primes.
15

%I #25 Jun 13 2014 17:44:49

%S 0,1,2,6,6,30,150,210,210,210,2310,2310,30030,30030,30030,30030,

%T 510510,510510,9699690,9699690,9699690

%N Minimal difference of any increasing arithmetic progression of n primes.

%C The entries shown have been proved to be correct.

%H Jens Kruse Andersen, <a href="http://primerecords.dk/aprecords.htm#minimal">Status of minimal arithmetic progressions of primes</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeArithmeticProgression.html">Prime Arithmetic Progression.</a>

%H <a href="/index/Pri#primes_AP">Index entries for sequences related to primes in arithmetic progressions</a>

%F David W. Wilson conjectures that a(n) = n# (n primorial, A034386) for n >= 8. If this is true then a(22) onwards are: 9699690, 223092870, 223092870, 223092870, 223092870, 223092870, 223092870, 6469693230, 6469693230, ...

%Y Cf. A033189 (initial terms), A113872 (last terms).

%Y Cf. A034386, A204189.

%K nonn,hard

%O 1,3

%A _Eric W. Weisstein_

%E Entry revised Feb 02 2006 by _N. J. A. Sloane_, based on suggestions from Jens Kruse Andersen.