A101043 A101042 sorted. There exists a prime p for which a(n) is the smallest positive d such that p is the smallest prime where p+d is also prime.

1, 2, 6, 22, 88, 112, 116, 202, 242, 284, 470, 718, 772, 1326, 1328, 1334, 1642, 1732, 1762, 2402, 2558, 3274, 5246, 5888, 7094, 7702, 7984, 9512, 9952, 9974, 10342, 10532, 12688, 13528, 16766, 25678, 25708, 37666, 59894, 60458, 61756, 62156

Offset: 1

Author

Jens Kruse Andersen, Nov 28 2004

Keywords

• nonn

Comments

Except for n=1, A020483(a(n)/2) is the first appearance of a prime in A020483.

Examples

			d=6 is in the sequence because there exists the prime p=5 satisfying the required conditions: 2+6, 3+6 is composite and 5+6 is prime. 6 is the smallest such number.
		

Links

• J. K. Andersen, Prime gaps (not necessarily consecutive).
• Mike Oakes, Ed Pegg Jr, Jens Kruse Andersen, Prime gaps (not necessarily consecutive), digest of 5 messages in primenumbers Yahoo group, Nov 26 - Nov 27, 2004. [Cached copy]

Crossrefs

Cf. A020483, A101042, A101044, A101045, A101046.