A342440 The longest length of consecutive primes which sums to prime = A342439(n) < 10^n.

2, 6, 21, 65, 183, 543, 1587, 4685, 13935, 41708, 125479, 379317, 1150971, 3503790, 10695879, 32729271, 100361001, 308313167, 948694965

Offset

1,1

Comments

Inspired by the 50th problem of Project Euler (see link).

The corresponding largest primes obtained are in A342439.

Solutions and Python program are proposed in Dreamshire and archive.today links. - Daniel Suteu, Mar 12 2021

Links

Table of n, a(n) for n=1..19.

Archive.today, trizen / experimental-projects.

Dreamshire, Project Euler 50 Solution.

Project Euler, Problem 50: Consecutive prime sum.

Example

A342439(1) = 5 = 2+3, hence a(1) = 2 since there are 2 terms in this longest sum.
A342439(2) = 41 = 2 + 3 + 5 + 7 + 11 + 13 hence a(2) = 6 since there are 6 terms in this longest sum.

Crossrefs

Cf. A342439, A342443, A342444.

Sequence in context: A228398 A228394 A245749 * A001434 A119098 A294706

Adjacent sequences: A342437 A342438 A342439 * A342441 A342442 A342443

Keyword

nonn,more

Author

Bernard Schott, Mar 12 2021

Extensions

a(4)-a(17) from Daniel Suteu, Mar 12 2021

a(18)-a(19) from Martin Ehrenstein, Mar 13 2021

Status

approved