A287940 - OEIS

A287940

a(n) is the first odd prime greater than a(n-1) such that (a(1), ..., a(n)) forms a prime vector. a(1)=3, a(2)=5.

3, 5, 11, 13, 29, 31, 47, 61, 71, 409, 2819, 4261, 113819, 124633, 236507, 250693, 501779, 886609, 29089889, 57721663, 157320827, 465327091, 812828249, 1530361321

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OFFSET

1,1

COMMENTS

A prime vector of order n is an array of n distinct primes P = (p_1, p_2, ..., p_n) such that every sum of an odd number of consecutive elements is also prime. The weight of the prime vector is the sum of its elements. For full details see the Kamenetsky paper.

a(1)-a(24) were found by Herbert Kociemba.

LINKS

Table of n, a(n) for n=1..24.

Dmitry Kamenetsky, Prime sums of primes, arXiv:1703.06778 [math.HO], 2017.

Carlos Rivera, Puzzle 875: Vector of primes that generates distinct primes

CROSSREFS

Cf. A286263, A287939.

Sequence in context: A317309 A243897 A153075 * A237349 A095082 A375793

Adjacent sequences: A287937 A287938 A287939 * A287941 A287942 A287943

KEYWORD

nonn,more

AUTHOR

Dmitry Kamenetsky, Jun 03 2017

STATUS

approved