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 A113593 Minimal differences that appear in arithmetic progressions of primes. 0
 0, 1, 2, 6, 30, 150, 210, 2310, 30030, 510510, 9699690, 223092870, 6469693230 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Collapsed version of sequence A033188. If a conjecture about arithmetic prime progressions is correct (see A033188), this sequence is simply the primorial numbers with 150 inserted into the list. Zero is also included (since p,p is an arithmetic progression with difference 0). LINKS EXAMPLE 2 belongs in the sequence because the smallest d satisfying "n, n+d, n+2d are all prime" is 2. 4 does not belong, despite there existing triples {n, n+4, n+8} that are all prime--because a difference of 4 does not allow a new length of progression, i.e. there is no prime progression {n, n+4, n+8, n+12}. CROSSREFS Cf. A033188, A034386, A002110. Sequence in context: A224530 A120950 A055695 * A122763 A166078 A319365 Adjacent sequences:  A113590 A113591 A113592 * A113594 A113595 A113596 KEYWORD nonn AUTHOR Jon Wild, Jan 26 2006 STATUS approved

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Last modified May 22 00:02 EDT 2022. Contains 353931 sequences. (Running on oeis4.)