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 A031132 Record differences between n-th prime and (n+2)-nd prime. 9
 3, 4, 6, 10, 12, 14, 18, 24, 28, 40, 42, 44, 48, 50, 56, 58, 72, 76, 80, 82, 100, 114, 116, 126, 138, 140, 160, 190, 200, 234, 236, 246, 248, 270, 306, 328, 330, 336, 340, 372, 376, 410, 436, 438, 450, 476, 502, 506, 524, 540, 546, 594, 600, 624, 678, 690, 700, 760, 780, 838, 900, 944, 972, 1014, 1016, 1032, 1152 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..67. FORMULA a(n) = A031134(n) - A031133(n). - Robert G. Wilson v EXAMPLE The difference a(49) = 524 first occurs at prime(2158173265) - prime(2158173263) = 50949283633 - 50949283109 = 524. - Jon E. Schoenfield, Aug 29 2006 MATHEMATICA d = 0; lst = {}; {p, q, r} = {1, 2, 3}; Do[{p, q, r} = {q, r, Prime@n}; If[r - p > d, d = r - p; AppendTo[lst, {p, r}]; Print[{p, r-p, r}]], {n, 212550893}]; Last /@ lst - First /@ lst (* Robert G. Wilson v, May 17 2006 *) dist = 0; n = 0; While[n<250000000, n++; tmp = Prime[n + 2] - Prime[n]; If[tmp > dist, dist = tmp; Print[tmp]]; ]; (* Sam Handler (sam_5_5_5_0(AT)yahoo.com), Aug 08 2006 *) CROSSREFS Cf. A031131, A031132, A031133, A031134, A122412, A122413. See A031133 for lower primes and A031134 for upper primes. Sequence in context: A082694 A004793 A336909 * A322165 A057477 A309317 Adjacent sequences: A031129 A031130 A031131 * A031133 A031134 A031135 KEYWORD nonn AUTHOR Jeff Burch EXTENSIONS Extended (and first term added) by Patrick De Geest, Oct 15 2000 Further extended by Jud McCranie, Jan 03 2001 and again on May 18 2006 a(50)-a(52) from Jon E. Schoenfield, Sep 02 2006 a(53)-a(55) from Dmitry Kamenetsky, Jul 28 2008 a(55) corrected, a(56)-a(62) added by Dmitry Petukhov, Sep 22 2015 a(63)-a(67) added by Vladimir Chirkov and Natalia Makarova, Sep 24 2015, Sep 29 2015 STATUS approved

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Last modified May 28 01:34 EDT 2024. Contains 372900 sequences. (Running on oeis4.)