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A215808 Primes of the form 2*prime(k) - prime(k+1). 3

%I #48 Feb 25 2017 14:06:31

%S 3,3,17,41,47,67,151,167,199,227,251,257,347,367,557,587,601,607,641,

%T 647,727,941,971,1051,1091,1097,1117,1181,1217,1277,1361,1427,1447,

%U 1447,1487,1487,1499,1607,1697,1741,1747,1741,1777,1877,1901,2087,2143,2281

%N Primes of the form 2*prime(k) - prime(k+1).

%C Corresponding values of k: 3, 4, 9, 15, 16, 21, 37, 40, 47, 51, 55, 56, 71, 74, 103 (A216075).

%H Zak Seidov, <a href="/A215808/b215808.txt">Table of n, a(n) for n = 1..1000</a>

%e k=3: 2*5-7=3, k=4: 2*7-11=3, k=9: 2*23-29=17.

%t pr=Prime[Range[1000]]; s=Select[2*Most[pr]-Rest[pr],PrimeQ]

%t Select[2#[[1]]-#[[2]]&/@Partition[Prime[Range[500]],2,1],PrimeQ] (* _Harvey P. Dale_, Feb 25 2017 *)

%Y Cf. A062234, A085704, A094104, A094105, A216075.

%K nonn

%O 1,1

%A _Zak Seidov_, Sep 06 2012

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Last modified April 24 05:49 EDT 2024. Contains 371918 sequences. (Running on oeis4.)