

A033188


Minimal difference of any increasing arithmetic progression of n primes.


10



0, 1, 2, 6, 6, 30, 150, 210, 210, 210, 2310, 2310, 30030, 30030, 30030, 30030, 510510, 510510, 9699690, 9699690, 9699690
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,3


COMMENTS

The entries shown have been proved to be correct.


LINKS

Table of n, a(n) for n=1..21.
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


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, ...


CROSSREFS

Cf. A033189 (initial terms), A113872 (last terms).
Cf. A034386, A204189.
Sequence in context: A284008 A284576 A060114 * A093364 A113461 A061558
Adjacent sequences: A033185 A033186 A033187 * A033189 A033190 A033191


KEYWORD

nonn,hard


AUTHOR

Eric W. Weisstein


EXTENSIONS

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


STATUS

approved



