

A346675


First differences of A088176.


0



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
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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



FORMULA



EXAMPLE

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



KEYWORD

nonn,easy


AUTHOR



STATUS

approved



