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 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified August 6 00:15 EDT 2024. Contains 374957 sequences. (Running on oeis4.)