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Primes that can be written as the sum of a Fibonacci number (A000045) and a triangular number (A000217).
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%I #8 Feb 16 2015 20:18:39

%S 2,3,5,7,11,13,17,19,23,29,31,37,41,47,53,61,67,71,79,83,89,107,113,

%T 137,139,149,157,167,173,179,191,193,199,211,223,233,239,269,277,281,

%U 311,313,331,353,359,379,383,389,397,409,419,433,443,461,467,499,509

%N Primes that can be written as the sum of a Fibonacci number (A000045) and a triangular number (A000217).

%e 29 is in the sequence since 29 is prime and 29 = 21 + 8 = T(6) + F(7); 43 is not in the sequence, despite being prime, since there exist no m and n such that 43 = T(m) + F(n).

%Y Cf. A000040, A000045, A000217, A107259.

%K nonn

%O 0,1

%A _Jonathan D. B. Hodgson_, Oct 13 2010