login
A082890
Primes p such that (r-p)/log(p) > 5, where r is the next prime after p.
2
19609, 25471, 31397, 34061, 35617, 40289, 40639, 43331, 44293, 58831, 79699, 85933, 89689, 102701, 107377, 110359, 124367, 134513, 142993, 149629, 155921, 156157, 162143, 173359, 175141, 186481, 188029, 190409, 203461, 212701, 218287
OFFSET
1,1
FORMULA
prime(j) such that (prime(j+1)-prime(j))/log(prime(j)) > 5.
EXAMPLE
If p=492113 then r=492227 and (r-p)/log(p) = 114/log(492113) = 8.69799..., so 492113 is in the sequence.
MATHEMATICA
Do[s=(Prime[n+1]-Prime[n])/Log[Prime[n]]//N; If[s>5, Print[Prime[n]]], {n, 1, 50000}]
KEYWORD
nonn
AUTHOR
Labos Elemer, Apr 17 2003
STATUS
approved