A342453 When A342439(n) is the largest prime < 10^n obtained with the longest sum of the A342440(n) consecutive primes, then a(n) is the first prime of these A342440(n) consecutive primes.

2, 2, 7, 3, 3, 7, 7, 7, 11, 2, 19, 5, 5, 2, 13, 5, 5, 7, 11

Offset

1,1

Comments

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

There must be at least two consecutive primes in the sum.

The terms a(4)-a(17) come from the Perl program and the results proposed by Daniel Suteu in the link Archive.today.

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(2) = 41 = 2 + 3 + 5 + 7 + 11 + 13 hence a(2) = 2.

Crossrefs

Cf. A342439, A342440, A342443, A342444, A342454

Sequence in context: A317329 A235709 A341760 * A370393 A077218 A102780

Adjacent sequences: A342450 A342451 A342452 * A342454 A342455 A342456

Keyword

nonn,more

Author

Bernard Schott, Mar 14 2021

Extensions

a(4)-a(17) from Daniel Suteu, Mar 14 2021

a(18)-a(19) from Martin Ehrenstein, Mar 14 2021

a(7) and a(15) corrected by Martin Ehrenstein, Mar 14 2021

Status

approved