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A215805
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Prime numbers p such that 10^p + 1 can be written in the form a^2 + 2*b^2.
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1
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5, 7, 13, 19, 29, 31, 43, 53, 61, 67, 71, 179, 239, 263, 269, 293
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OFFSET
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1,1
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COMMENTS
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These numbers have no prime factors of the form 5 or 7 (mod 8) to an odd power.
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LINKS
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PROG
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(PARI) forprime(i=2, 100, a=factorint(10^i+1)~; has=0; for(j=1, #a, if(a[1, j]%8>4&&a[2, j]%2==1, has=1; break)); if(has==0&&i%2==1, print(i" -\t"a[1, ])))
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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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STATUS
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approved
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