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A081531
Primes p such that (r-p)/log(p) > 2, where r is the next prime after p.
1
7, 113, 139, 199, 211, 293, 317, 523, 773, 839, 863, 887, 953, 1069, 1129, 1259, 1327, 1381, 1637, 1669, 1759, 1831, 1913, 1933, 1951, 2113, 2161, 2179, 2221, 2251, 2311, 2477, 2503, 2557, 2593, 2803, 2861, 2971, 3089, 3137, 3229, 3271, 3413, 3469, 3739
OFFSET
1,1
LINKS
FORMULA
prime(j) such that (prime(j+1)-prime(j))/log(prime(j)) > 2.
EXAMPLE
If p=1327 then r=1361 and (r-p)/log(p) = 34/log(1327) = 4.72834..., so 1327 is in the sequence.
MATHEMATICA
Do[s=(Prime[n+1]-Prime[n])/Log[Prime[n]]//N; If[s>2, Print[Prime[n]]], {n, 1, 2000}]
Transpose[Select[Partition[Prime[Range[600]], 2, 1], (Last[#]-First[#])/ Log[ First[#]]>2&]][[1]] (* Harvey P. Dale, Jun 22 2014 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, Apr 17 2003
STATUS
approved