A256476 Numbers n for which there are more primes in range [prime(n)*prime(n+1), prime(n+1)^2] than in range [prime(n)^2, prime(n)*prime(n+1)].

2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 16, 18, 19, 21, 22, 23, 24, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 40, 46, 47, 51, 52, 53, 54, 56, 57, 60, 62, 64, 66, 67, 68, 70, 71, 72, 75, 76, 78, 79, 80, 82, 83, 84, 85, 87, 89, 91, 93, 94, 95, 97, 99, 100, 102, 104, 105, 111, 112, 113, 114, 115, 118, 119, 123

Offset: 1

Author

Antti Karttunen, Mar 30 2015

Keywords

• nonn

Comments

Positions where A256470 is strictly positive.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..3413

Crossrefs

Complement: A256477.

Setwise difference of A256474 and A256471.

Cf. A256470.

Programs

Mathematica

Select[Range@125, Count[Range[Prime[#] Prime[# + 1], Prime[# + 1]^2], ?PrimeQ] > Count[Range[Prime[#]^2, Prime[#] Prime[# + 1]], ?PrimeQ] &] (* Michael De Vlieger, Mar 30 2015 *)