A387215 a(n) is the smallest k such that, for any m >= k, m is a sum of exactly n distinct primes.

18, 31, 42, 61, 84, 103, 138, 163, 204, 245, 294, 335, 390, 449, 516, 575, 648, 725, 804, 885, 978, 1067, 1164, 1277, 1374, 1493, 1608, 1739, 1866, 2003, 2142, 2291, 2436, 2603, 2760, 2933, 3096, 3281, 3468, 3647, 3858, 4055, 4248, 4457, 4684, 4913, 5142, 5375, 5604

Offset: 3

Author

David A. Corneth, Aug 22 2025

Keywords

• nonn
• new

Comments

In computation it is assumed that if for any m where a(n) = k <= m <= k + 3*n we have m is the sum of n distinct positive integers then a(n) = k.

Examples

			a(3) = 18 as 17 is not the sum of 3 distinct primes but any integer m where 18 <= m <= 27 is the sum of 3 distinct primes. It is therefore assumed that a(3) = 18.
		

Crossrefs

Cf. A002375, A229219, A387198.