A305748 -id:A305748 - cp's OEIS frontend

A375097 a(n) = prime(n+2) - (prime(n) + prime(n+1))/2.

3, 5, 4, 5, 4, 5, 8, 5, 7, 7, 4, 5, 8, 9, 5, 7, 7, 4, 7, 7, 8, 11, 8, 4, 5, 4, 5, 16, 11, 8, 5, 11, 7, 7, 9, 7, 8, 9, 5, 11, 7, 5, 4, 13, 18, 10, 4, 5, 8, 5, 11, 11, 9, 9, 5, 7, 7, 4, 11, 19, 11, 4, 5, 16, 13, 13, 7, 5, 8, 11, 10, 9, 7, 8, 11, 8, 10, 14, 7, 11

Offset: 2

Hugo Pfoertner, Jul 30 2024

Michael De Vlieger, Table of n, a(n) for n = 2..10000

Cf. A024675, A096379, A191472, A305748, A364411.

Array[#3 - (#1 + #2)/2 & @@ Prime[{#, # + 1, # + 2}] &, 80, 2] (* Michael De Vlieger, Jul 30 2024 *)

a(n) = prime(n+2) - (prime(n) + prime(n+1))/2

A375095 Primes p such that the difference between the average of the next 2 primes after p and p sets a new record.

Original entry on oeis.org

2, 3, 5, 7, 19, 31, 47, 83, 109, 113, 199, 523, 887, 1129, 1327, 5591, 9551, 15683, 19609, 31397, 155921, 188029, 338033, 360653, 370261, 492113, 1349533, 1357201, 1671781, 2010733, 4652353, 15203977, 17051707, 20831323, 47326693, 90438133, 164710681, 189695659

Offset: 1

Hugo Pfoertner, Jul 30 2024

nonn

Cf. A024675, A305748, A375096.

cp's OEIS Frontend

A375097 a(n) = prime(n+2) - (prime(n) + prime(n+1))/2.

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A375095 Primes p such that the difference between the average of the next 2 primes after p and p sets a new record.

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Author

Keywords

Crossrefs