A173634 Even numbers that are not the sum of 2 Ramanujan primes (A104272).

2, 6, 8, 10, 12, 14, 16, 18, 20, 24, 26, 30, 32, 36, 38, 42, 44, 48, 50, 54, 56, 60, 62, 66, 68, 72, 74, 80, 86, 90, 92, 98, 102, 104, 110, 116, 120, 122, 128, 132, 140, 146, 150, 152, 158, 170, 176, 182, 188, 200, 206, 212, 230, 232, 236, 242, 260, 266, 272, 284, 290, 314, 320, 344, 350, 372, 386, 398, 424, 428, 452, 484, 512, 542, 556, 564, 572, 626, 632, 644, 686, 692, 764, 962, 986, 1022, 1028, 1070, 1532, 1712, 1742, 1766, 2078, 2582, 2624

Offset: 1

Author

Donovan Johnson, Nov 23 2010

Keywords

• nonn

Comments

No other terms < 2*10^8. Conjectured to be complete.

a(n) = 2*(n of A204814) when A204814(n) = 0. Related to Goldbach's conjecture in that (Conjecture:) even numbers 2626 and greater are the sum of two Ramanujan primes. - John W. Nicholson, Jan 26 2017

Examples

			68 is a term because no 2 Ramanujan primes sum to 68. 70 is not a term because 11 + 59 = 70. 11 and 59 are both Ramanujan primes.
		

Links

• Eric Weisstein's World of Mathematics, Ramanujan Prime
• Wikipedia, Ramanujan prime

Crossrefs

Cf. A104272, A204814.