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

Author

Bernard Schott, Mar 12 2021

Keywords

• nonn
• more

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

Examples

			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.
		

Links

• Archive.today, trizen / experimental-projects.
• Dreamshire, Project Euler 50 Solution.
• Project Euler, Problem 50: Consecutive prime sum.

Crossrefs

Cf. A342439, A342443, A342444.

Extensions

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

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