a(n) >= a(n-1) and sum of first n terms is prime

[Neil Fernandez]

2, 3, 6, 6, 6, 6, 8, 10, 12, 12, 12, 14, 16, 18, 18, 18, 24, 32, 34, 36,
38, 42, 46, 48, 54, 56, 64, 68, 78, 90, 90, 94, 102, 114, 122, 124, 134,
144, 148, 150, 152, 160, 168, 170, 178, 182, 190, 192, 200, 216, 220,
222, 234, 234, 234, 246, 260, 264, 268, 270, 278, 280, 290, 292, 294,
294, 300, 302, 310, 312, 312, 318, 318, 330, 348, 350, 370, 380, 384,
388, 408, 410, 424, 428, 444, 450, 450

a(n) = smallest integer greater or equal to a(n-1) such that the sum of
the first n terms is prime

First numbers to appear once, twice, three times, etc. are 2, 6, 6, 6, ?

(See also Felice Russo's sequence A051935, where a(n) must be strictly
greater than a(n-1)).

Neil
-- 
Neil Fernandez