|
| |
|
|
A082889
|
|
Primes p such that (r-p)/log(p) > 4, where r is the next prime after p.
|
|
3
| |
|
|
1327, 15683, 16141, 19333, 19609, 20809, 25471, 28229, 31397, 31907, 34061, 34981, 35617, 35677, 36389, 37907, 40289, 40639, 43331, 43801, 44293, 45893, 48679, 58831, 59281, 60539, 69263, 73189, 74959, 79699, 81463, 82073, 85933, 86629
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
FORMULA
| prime(j) such that (prime(j+1)-prime(j))/log(prime(j)) > 4.
|
|
|
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>4, Print[Prime[n]]], {n, 1, 2000}]
|
|
|
CROSSREFS
| Cf. A082862, A082884-A082886, A082888, A082890, A082891.
Sequence in context: A134116 A122390 A075038 * A109568 A205091 A038854
Adjacent sequences: A082886 A082887 A082888 * A082890 A082891 A082892
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Apr 17 2003
|
| |
|
|
