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A215823
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Prime numbers p such that the Fibonacci number F(p) can be written in the form a^2 + 3*b^2.
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3
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2, 7, 17, 23, 47, 71, 73, 79, 89, 137, 151, 167, 191, 193, 199, 257, 271, 353, 359, 409, 431, 433, 449, 569, 601, 719, 751, 809, 823, 857, 881, 887, 929, 953
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OFFSET
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1,1
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COMMENTS
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These Fibonacci numbers F(p) have no prime factor congruent to 2 (mod 3) to an odd power.
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LINKS
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PROG
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(PARI) forprime(i=2, 500, a=factorint(fibonacci(i))~; has=0; for(j=1, #a, if(a[1, j]%3==2&&a[2, j]%2==1, has=1; break)); if(has==0, print(i", ")))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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15 more terms from V. Raman, Aug 28 2012
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STATUS
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approved
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