A287939 -id:A287939 - cp's OEIS frontend

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

Offset: 1

Graph
List
Refs
Listen
History
Text
Internal format

Dmitry Kamenetsky, Jun 03 2017

nonn
more

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.

Dmitry Kamenetsky, Prime sums of primes, arXiv:1703.06778 [math.HO], 2017.
Carlos Rivera, Puzzle 875: Vector of primes that generates distinct primes

Cf. A286263, A287939.

cp's OEIS Frontend

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.

Views

Author

Keywords

Comments

Links

Crossrefs