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A101793 Primes of the form 16*k-1 such that 4*k-1 and 8*k-1 are also primes.

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%I A101793 #16 May 13 2024 02:14:59
%S A101793 47,719,1439,2879,4079,4127,5807,6047,7247,7727,9839,10799,11279,
%T A101793 13967,14159,15647,21599,24527,28319,28607,42767,44687,45887,48479,
%U A101793 51599,51839,67247,68639,72767,77279,79967,81647,84047,84719,89087,92399,95279,96959,98207
%N A101793 Primes of the form 16*k-1 such that 4*k-1 and 8*k-1 are also primes.
%H A101793 Amiram Eldar, <a href="/A101793/b101793.txt">Table of n, a(n) for n = 1..10000</a>
%F A101793 a(n) = 16*A101790(n) - 1 = 4*A101791(n) + 3 = 2*A101792(n) + 1. - _Amiram Eldar_, May 13 2024
%e A101793 4*3-1 = 11, 8*3-1 = 23 and 16*3-1 = 47 are primes, so 47 is a term.
%t A101793 16#-1&/@Select[Range[10000],AllTrue[{4#-1,8#-1,16#-1},PrimeQ]&] (* _Harvey P. Dale_, Jun 13 2015 *)
%o A101793 (PARI) is(k) = if(k % 16 == 15, my(m = k\16 + 1); isprime(4*m-1) && isprime(8*m-1) && isprime(16*m-1), 0); \\ _Amiram Eldar_, May 13 2024
%Y A101793 Cf. A002515, A101790, A101791, A101792.
%Y A101793 Subsequence of A127576.
%Y A101793 Subsequences: A101797, A101997.
%K A101793 easy,nonn
%O A101793 1,1
%A A101793 Douglas Stones (dssto1(AT)student.monash.edu.au), Dec 16 2004