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 A051702 Distance from n-th prime to closest prime. 19
 1, 1, 2, 2, 2, 2, 2, 2, 4, 2, 2, 4, 2, 2, 4, 6, 2, 2, 4, 2, 2, 4, 4, 6, 4, 2, 2, 2, 2, 4, 4, 4, 2, 2, 2, 2, 6, 4, 4, 6, 2, 2, 2, 2, 2, 2, 12, 4, 2, 2, 4, 2, 2, 6, 6, 6, 2, 2, 4, 2, 2, 10, 4, 2, 2, 4, 6, 6, 2, 2, 4, 6, 6, 6, 4, 4, 6, 4, 4, 8, 2, 2, 2, 2, 4, 4, 6, 4, 2, 2, 4, 8, 4, 4, 4, 4, 6, 2, 2, 6, 6, 6, 6, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS T. D. Noe, Table of n, a(n) for n = 1..10000 EXAMPLE Closest primes to 2,3,5,7,11 are 3,2,3,5,13. MATHEMATICA a[n_] := Min[(p = Prime[n]) - NextPrime[p, -1], NextPrime[p] - p]; Table[a[n], {n, 1, 104}] (* Jean-François Alcover, May 27 2013 *) Join[{1}, Min[Differences[#]]&/@Partition[Prime[Range[110]], 3, 1]] (* Harvey P. Dale, Sep 23 2016 *) PROG (PARI) a(n, p=prime(n))=min(p-precprime(p-1), nextprime(p+1)-p) \\ Charles R Greathouse IV, Feb 06 2017 CROSSREFS Related sequences: A023186-A023188, A046929-A046931, A051650, A051652, A051697-A051702, A051728-A051730. A046929(n+1) + 1. Sequence in context: A003642 A100007 A104369 * A073130 A238267 A143526 Adjacent sequences:  A051699 A051700 A051701 * A051703 A051704 A051705 KEYWORD nonn,easy,nice AUTHOR EXTENSIONS More terms from James A. Sellers STATUS approved

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Last modified January 28 04:30 EST 2022. Contains 350654 sequences. (Running on oeis4.)