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 A051650 Lonely numbers: distance to closest prime sets a new record. 18
 0, 23, 53, 120, 211, 1340, 1341, 1342, 1343, 1344, 2179, 3967, 15704, 15705, 16033, 19634, 19635, 24281, 31428, 31429, 31430, 31431, 31432, 31433, 38501, 58831, 155964, 203713, 206699, 370310, 370311, 370312, 370313, 370314, 370315, 370316 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Charles R Greathouse IV and Giovanni Resta, Table of n, a(n) for n = 0..211 (terms < 10^14, first 156 terms from Charles R Greathouse IV) EXAMPLE 23 is 4 units away from the closest prime (not including itself), so 23 is in the sequence. MAPLE P:=proc(q) local a, b, c, n; a:=0; c:=[]; for n from 23 to q do b:=min(n-prevprime(n), nextprime(n)-n); if b>a then a:=b; c:=[op(c), n]; fi; od; print(0, op(c)); end:  P(370316); # Paolo P. Lava, Jul 05 2018 MATHEMATICA d[0] = 2; d[k_] := Min[k - NextPrime[k, -1], NextPrime[k] - k]; a[0] = 0; a[n_] := a[n] = (k = a[n-1] + 1; record = d[a[n-1]]; While[d[k] <= record, k++]; k); Table[a[n], {n, 0, 35}] (* Jean-François Alcover, Jan 16 2012 *) PROG (PARI) print1(0); w=2; p=2; q=3; forprime(r=5, 1e9, if(p+w+ww, w=t; print1(", "q)); p=q; q=r) \\ Charles R Greathouse IV, Jan 16 2012 CROSSREFS Related sequences: A023186-A023188, A046929-A046931, A051650, A051652, A051697-A051702, A051728-A051730. Distances are in A051730. Sequence in context: A128473 A132235 A277993 * A049438 A171432 A078854 Adjacent sequences:  A051647 A051648 A051649 * A051651 A051652 A051653 KEYWORD nonn,nice AUTHOR EXTENSIONS More terms from James A. Sellers, Dec 23 1999 and from Jud McCranie, Jun 16 2000 STATUS approved

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Last modified October 19 16:17 EDT 2019. Contains 328223 sequences. (Running on oeis4.)