A033188 Minimal difference of any increasing arithmetic progression of n primes.

0, 1, 2, 6, 6, 30, 150, 210, 210, 210, 2310, 2310, 30030, 30030, 30030, 30030, 510510, 510510, 9699690, 9699690, 9699690

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• hard

Comments

The entries shown have been proved to be correct.

Links

• Jens Kruse Andersen, Status of minimal arithmetic progressions of primes
• Eric Weisstein's World of Mathematics, Prime Arithmetic Progression.
• Index entries for sequences related to primes in arithmetic progressions

Crossrefs

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

Cf. A034386, A204189.

Formula

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, ...

Extensions

Entry revised Feb 02 2006 by N. J. A. Sloane, based on suggestions from Jens Kruse Andersen.