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A285390 Numbers n such that n + 2, n^2 + 2^2, n^4 + 2^4, n^8 + 2^8 and n^16 + 2^16 are primes. 2

%I #21 Sep 10 2020 03:04:35

%S 1,1938357,12543605,42052067,42916485,48724977,89483837,94041095,

%T 94101375,129136065,138460937,145198547,153488937,172741167,182885915,

%U 215999297,217054557,217734965,249913685,271516605,277401597,285433077,295266797,306256175

%N Numbers n such that n + 2, n^2 + 2^2, n^4 + 2^4, n^8 + 2^8 and n^16 + 2^16 are primes.

%C Are there any n such that n^32 + 2^32 is also prime?

%C a(87) = 2321204055 and a(156) = 5231769977 are the first 2 terms such that n^32 + 2^32 is prime. - _Chai Wah Wu_, Sep 03 2020

%H Chai Wah Wu, <a href="/A285390/b285390.txt">Table of n, a(n) for n = 1..6400</a>

%Y Subsequence of A192794. Cf. A070689.

%K nonn

%O 1,2

%A _Zak Seidov_, Apr 18 2017

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Last modified September 15 02:04 EDT 2024. Contains 375929 sequences. (Running on oeis4.)