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 A087104 Greatest jumping champion for prime(n). 4
 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 4, 2, 4, 4, 4, 4, 4, 4, 2, 2, 2, 4, 4, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,2 COMMENTS A number is called a jumping champion for n, if it is the most frequently occurring difference between consecutive primes <= n; there are occasionally several jumping champions: see A087102; A087103(n) is the smallest jumping champion for prime(n); a(n)<=6 for small n, see Odlyzko et al. for primes>1.7*10^35. LINKS T. D. Noe, Table of n, a(n) for n = 2..1001 A. Odlyzko, M. Rubinstein and M. Wolf, Jumping Champions A. Odlyzko, M. Rubinstein and M. Wolf, Jumping Champions, Experimental Math., 8 (no. 2) (1999). Eric Weisstein's World of Mathematics, Jumping Champion MATHEMATICA d=Table[0, {100}]; p=2; Table[q=NextPrime[p]; d[[q-p]]++; p=q; Position[d, Max[d]][[-1, 1]], {1000}] CROSSREFS Cf. A001223, A005250. Sequence in context: A086858 A111892 A108248 * A343743 A069926 A077429 Adjacent sequences: A087101 A087102 A087103 * A087105 A087106 A087107 KEYWORD nonn AUTHOR Reinhard Zumkeller, Aug 10 2003 STATUS approved

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Last modified March 31 08:44 EDT 2023. Contains 361645 sequences. (Running on oeis4.)