A175153 - OEIS

%I #10 Sep 08 2022 08:45:51

%S 24,66,84,114,144,150,156,180,210,240,294,450,504,564,576,606,690,714,

%T 726,780,810,900,906,1026,1176,1236,1284,1404,1494,1530,1566,1596,

%U 1614,1620,1680,1734,1740,1746,1860,2130,2196,2394,2424,2466,2490,2544,2550

%N Numbers n such that 13*n-1, 13*n+1 are twin primes.

%C All entries are divisible by 6. - _Vincenzo Librandi_, Aug 24 2014

%H Vincenzo Librandi, <a href="/A175153/b175153.txt">Table of n, a(n) for n = 1..1000</a>

%e For n=24, 13*24-1=311 and 13*24+1=313, which are twin primes.

%t Select[6 Range[3000], And@@PrimeQ[13 # + {1, -1}] &] (* _Vincenzo Librandi_, Aug 24 2014 *)

%o (Magma) [n: n in [1..3000] | IsPrime(13*n+1) and IsPrime(13*n-1)]

%Y Cf. A175152 (11*n-1 and 11*n+1 are twin primes).

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Mar 08 2010