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Numbers k such that Fibonacci(k) is prime and can be written in the form a^2 + 10*b^2.
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%I #19 Jan 05 2025 19:51:39

%S 11,131,359,431,9311,25561,35999,37511,81839,130021,148091,397379,

%T 590041,593689,1803059,1968721

%N Numbers k such that Fibonacci(k) is prime and can be written in the form a^2 + 10*b^2.

%H Blair Kelly, <a href="http://mersennus.net/fibonacci">Factorizations of Fibonacci and Lucas numbers</a>

%H Mohammed Taous, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Papers1/55-5/Taous.pdf">On the 2-Class Group of Q(sqrt(5pFp)) Where Fp is a Prime Fibonacci Number</a>, Fibonacci Quart. 55 (2017), no. 5, 192-200. See the NM's in Figure 1 p. 8.

%Y Cf. A000045, A001605.

%K nonn,more

%O 1,1

%A _V. Raman_, Sep 08 2012