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%I #18 Oct 28 2021 13:09:16
%S 39713433671,66419473031,71525244611,286371985811,480612532451,
%T 535181743301,789972743471,1195575264641,1219449947921,1256522812841,
%U 1292207447351,1351477467251,1450982599271,1460592638171,1515361442261,1592346154541
%N Initial members of 5 twin primes with the smallest possible difference of 30.
%C There are 5 twin primes in a group of 39 numbers. The term 5TP39 was suggested by prime number researcher Roger Hargrave on 16-FEB-2003. It is also the lowest number of ten primes.
%C We only have to test primes of the form p = 2310n + 821 and p = 2310n + 1451.
%C Similar to A059925, but here we have additionally a twin pair of primes in the middle.
%H Sebastian Petzelberger, <a href="/A256842/b256842.txt">Table of n, a(n) for n = 1..10000</a> The data and the b-file were compiled from the link below.
%H D. L. P. Ballard, <a href="http://www.teapro.com/fix5tp39.html">Hargrave Primes</a>
%H Thomas R. Nicely, <a href="https://faculty.lynchburg.edu/~nicely/dense/dense1.html">Dense prime clusters</a>
%Y Cf. A059925.
%K nonn
%O 1,1
%A _Sebastian Petzelberger_, Apr 21 2015