This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A065116 #18 Jun 21 2022 08:43:33
%S A065116 8,162,512,32768,41472,3748322,5120000,6837602,8000000,35701250,
%T A065116 75031250,78125000,91125000,907039232,10660336128,11911961250,
%U A065116 21234895362,41265473762,55965865922,209642370242,835707290112,1148179179938,1821331173888,2097152000000
%N A065116 Numbers k such that sigma(k) + tau(k) and sigma(k) - tau(k) are primes.
%C A065116 Intersection of A064205 and A065061.
%C A065116 From _Kevin P. Thompson_, Jun 20 2022: (Start)
%C A065116 Terms must be twice a square (see A064205).
%C A065116 No terms are congruent to 4 or 6 (mod 10) (see A064205). (End)
%H A065116 Donovan Johnson, <a href="/A065116/b065116.txt">Table of n, a(n) for n = 1..250</a>
%e A065116 162 is a term since sigma(162) = 363 and tau(162) = 10 are numbers whose sum (373) and difference (353) are both primes.
%t A065116 Do[ds1 = DivisorSigma[1, n]; ds0 = DivisorSigma[0, n]; If[ PrimeQ[ds1 + ds0] && PrimeQ[ds1 - ds0], Print[n]], {n, 1, 10^7} ]
%Y A065116 Cf. A064205, A065061.
%K A065116 nonn
%O A065116 1,1
%A A065116 _Robert G. Wilson v_, Nov 12 2001
%E A065116 a(10)-a(19) from _Donovan Johnson_, Jul 09 2010
%E A065116 a(20)-a(24) from _Donovan Johnson_, Aug 23 2013