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A079007 a(n) = smallest prime p_k such that the n successive differences between the primes p_k through p_(k+n) are all distinct. 8
2, 2, 2, 17, 83, 113, 491, 1367, 1801, 5869, 15919, 34883, 70639, 70657, 214867, 214867, 2515871, 3952733, 13010143, 30220163, 60155567, 69931991, 203674907, 1092101119, 1363592621, 1363592677, 2124140323, 23024158649, 30282104173, 30282104173, 196948778371 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..30.

EXAMPLE

a(0) = 2; a(1) = 2 from {2,3} with a single difference 1; a(2) = 2 from {2,3,5}, with two distinct differences 1, 2.

a(5) = p_30 = 113 because 113 is followed by 127, 131, 137, 139, 149, with 5 different differences: 14, 4, 6, 2, 10; and no smaller prime has this property.

MATHEMATICA

f[k_, n_] := Block[{p = Table[ Prime[i], {i, k, k + n - 1}]}, Length[ Union[Drop[p, 1] - Drop[p, -1]]]]; k = 1; Do[ While[ f[k, n] != n - 1, k++ ]; Print[ Prime[k]], {n, 1, 22}]

CROSSREFS

Cf. A001223, A068843, A053597, A078515. Different from A079889.

Sequence in context: A161748 A195871 A214756 * A064215 A087238 A226935

Adjacent sequences:  A079004 A079005 A079006 * A079008 A079009 A079010

KEYWORD

nonn

AUTHOR

Labos Elemer, Jan 03 2002

EXTENSIONS

Edited by Robert G. Wilson v and N. J. A. Sloane, Jan 05 2002

More terms from Don Reble, Jan 15 2003

a(27)-a(30) from Donovan Johnson, Oct 23 2012

STATUS

approved

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Last modified April 18 22:08 EDT 2019. Contains 322237 sequences. (Running on oeis4.)