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 A101997 #10 May 13 2024 02:14:14 %S A101997 719,214559,253679,507359,508559,1017119,1184399,1363679,2429279, %T A101997 3242159,4276799,4490639,6394799,6486479,7283999,7464959,7650719, %U A101997 7683839,8181359,8553599,8631599,8981279,9112319,9428879,10671119 %N A101997 Primes of the form 16*k-1 such that 4*k-1, 8*k-1, 32*k-1 and 64*k-1 are also primes. %H A101997 Amiram Eldar, <a href="/A101997/b101997.txt">Table of n, a(n) for n = 1..10000</a> %F A101997 a(n) = 16*A101994(n) - 1 = 4*A101995(n) + 3 = 2*A101996(n) + 1. - _Amiram Eldar_, May 13 2024 %e A101997 4*45-1 = 179, 8*45-1 = 359, 16*45-1 = 719, 32*45-1 = 1439 and 64*45-1 = 2879 are primes, so 719 is a term. %t A101997 Select[With[{c=2^Range[2,6]},Table[c n-1,{n,700000}]],AllTrue[#,PrimeQ]&][[All,3]] (* _Harvey P. Dale_, Nov 29 2018 *) %o A101997 (PARI) is(k) = if(k % 16 == 15, my(m = k\16 + 1); isprime(4*m-1) && isprime(8*m-1) && isprime(16*m-1) && isprime(32*m-1) && isprime(64*m-1), 0); \\ _Amiram Eldar_, May 13 2024 %Y A101997 Cf. A101994, A101995, A101996, A101998, A101999. %Y A101997 Subsequence of A127576, A101793 and A101797. %K A101997 easy,nonn %O A101997 1,1 %A A101997 Douglas Stones (dssto1(AT)student.monash.edu.au), Dec 23 2004