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 A101042 a(n) is the smallest positive d such that the n-th prime is the smallest prime p for which p+d is also prime. 6
 1, 2, 6, 22, 116, 88, 470, 112, 284, 242, 202, 772, 1326, 718, 1334, 1328, 2558, 1762, 1642, 2402, 3274, 1732, 7094, 9512, 7984, 5246, 12688, 10532, 9952, 16766, 7702, 60458, 9974, 25708, 5888, 13528, 10342, 25678, 62156, 69518, 76838, 37666 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Except for n=1, A020483(a(n)/2) is the first appearance of the n-th prime. It is conjectured that a(n) always exists. a(386) is the first number which must be above 10^12. 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 a(3)=6 because: The 3rd prime is 5. 2+6, 3+6 is composite, 5+6 is prime. 6 is the smallest such number. CROSSREFS Cf. A020483, A101043, A101044, A101045, A101046. Sequence in context: A095817 A370525 A352413 * A171339 A374619 A032266 Adjacent sequences: A101039 A101040 A101041 * A101043 A101044 A101045 KEYWORD nonn AUTHOR Jens Kruse Andersen, Nov 28 2004 STATUS approved

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Last modified August 8 15:25 EDT 2024. Contains 375022 sequences. (Running on oeis4.)