%I #14 Jan 09 2024 12:31:08

%S 89,359,389,449,479,683,719,743,929,983,1109,1163,1193,1373,1439,1523,

%T 1559,1733,1823,1979,2003,2153,2213,2243,2273,2459,2609,2663,2699,

%U 2843,2879,2909,3209,3449,3623,3719,4289,4349,4583,4943,5189,5399,5573,5693,5783,5813

%N Prime p1 of consecutive primes p1, p2, where p2 - p1 = 8, and p1, p2 are in different decades.

%C The unit digits of the numbers in the sequence are 3's or 9's.

%H Harvey P. Dale, <a href="/A288024/b288024.txt">Table of n, a(n) for n = 1..1000</a>

%e 89 is in the sequence since pair (89,97) is the first with difference 8 spanning a multiple of 10.

%t a288024[n_] := Map[Last, Select[Map[{NextPrime[#, 1], NextPrime[#, -1]}&, Range[10, n, 10]], First[#]-Last[#]==8&]]

%t a288024[6000] (* data *)

%t Select[Partition[Prime[Range[800]],2,1],#[[2]]-#[[1]]==8&&IntegerDigits[#[[1]]][[-2]]!= IntegerDigits[ #[[2]]][[-2]]&][[;;,1]] (* _Harvey P. Dale_, Jan 09 2024 *)

%Y Cf. A001359, A023201, A023203, A031924, A031925, A031928, A046117, A046132, A158277, A158861, A160370, A160440, A160500, A287049, A287050, A060229, A288021, A288022.

%K nonn

%O 1,1

%A _Hartmut F. W. Hoft_, Jun 04 2017