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A216310 The prime ending in 3 is the only prime in a decade. 1

%I #15 Mar 27 2016 04:57:07

%S 113,293,683,743,773,863,953,983,1163,1193,1373,1523,1583,1733,1823,

%T 1913,2003,2053,2153,2213,2243,2273,2423,2503,2633,2663,2753,2843,

%U 3023,3413,3433,3593,3623,3643,3803,3833,3863,4363,4373,4463,4493,4523,4583,4603

%N The prime ending in 3 is the only prime in a decade.

%C Primes of the form 10n+3 such that 10n+1, 10n+7, and 10n+9 are composite. - _Charles R Greathouse IV_, Sep 06 2012

%H V. Raman, <a href="/A216310/b216310.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) ~ 4n log n. - _Charles R Greathouse IV_, Sep 06 2012

%t t = {}; Do[ps = Select[Range[10*n, 10*n + 9], PrimeQ]; If[ps == {10*n + 3}, AppendTo[t, ps[[1]]]], {n, 0, 595}]; t (* _T. D. Noe_, Sep 04 2012 *)

%t Select[10*Range[500]+3,PrimeQ[#]&&AllTrue[#+{-2,4,6},CompositeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* _Harvey P. Dale_, Mar 27 2016 *)

%Y Subsequence of A030431. Cf. A032352, A007811, A078494.

%K nonn,base,easy

%O 1,1

%A _V. Raman_, Sep 03 2012

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