A346675 First differences of A088176.

4, 6, 6, 14, 10, 20, 12, 28, 6, 36, 8, 34, 6, 14, 22, 18, 26, 16, 24, 36, 78, 8, 28, 74, 36, 30, 24, 16, 26, 148, 6, 12, 24, 24, 144, 8, 22, 8, 28, 66, 74, 46, 14, 10, 20, 106, 26, 28, 6, 120, 14, 66, 16, 24, 68, 76, 12, 60, 24, 30, 36, 48, 12, 30, 8, 16, 90, 30

Offset

1,1

Comments

Conjecture: each term > 4 appears at least twice.

Every term of the sequence is even, because every term is a difference of two odd primes.

Links

Table of n, a(n) for n=1..68.

Formula

a(n) = A088176(n+2) - A088176(n+1).

Example

a(7) = A088176(9) - A088176(8) = 107 - 79 = 28.
p = 14855077 and q = 14856077 are prime numbers such that the respective preceding prime number is the greater of twin primes. No other prime number between p and q has this property. Thus 1000 is a term of the sequence.

Mathematica

Differences[NextPrime/@Select[Prime@Range[500], NextPrime[#, -1]==#-2&]] (* Giorgos Kalogeropoulos, Jul 28 2021 *)

Crossrefs

Cf. A088176.

Sequence in context: A081732 A079033 A272771 * A077038 A053320 A351649

Adjacent sequences: A346672 A346673 A346674 * A346676 A346677 A346678

Keyword

nonn,easy

Author

Luca Santarsiero, Jul 28 2021

Status

approved