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

1,2

Comments

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

Links

Table of n, a(n) for n=1..42.

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]

Example

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.

Crossrefs

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

Sequence in context: A150261 A308409 A150262 * A101046 A363811 A150263

Adjacent sequences: A101040 A101041 A101042 * A101044 A101045 A101046

Keyword

nonn

Author

Jens Kruse Andersen, Nov 28 2004

Status

approved