A078866 - OEIS

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A078866

The quadruples (d1,d2,d3,d4) with elements in {2,4,6} are listed in lexicographic order; for each quadruple, this sequence lists the smallest prime p >= 5 such that the differences between the 5 consecutive primes starting with p are (d1,d2,d3,d4), if such a prime exists.

5, 17, 41, 29, 71, 149, 3299, 7, 13, 67, 1597, 19, 43, 12637, 1601, 23, 593, 31, 61, 3313, 157, 47, 601, 151, 251, 3301

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The 26 quadruples for which p exists are listed, in decimal form, in A078868.

LINKS

Table of n, a(n) for n=1..26.

EXAMPLE

The term 12637 corresponds to the quadruple (4,6,6,6): 12637, 12641, 12647, 12653 and 12659 are consecutive primes.

CROSSREFS

The quadruples are in A078868. The same primes, in increasing order, are in A078867. The sequences of primes corresponding to the 26 difference patterns are in A022006, A022007 and A078946-A078970. Cf. A001223.

Sequence in context: A146134 A011931 A260981 * A332689 A342320 A341759

Adjacent sequences: A078863 A078864 A078865 * A078867 A078868 A078869

KEYWORD

fini,full,nonn

AUTHOR

Labos Elemer, Dec 19 2002

EXTENSIONS

Edited by Dean Hickerson, Dec 20 2002

STATUS

approved