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A161847
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Denominator of the ratio (prime((n+1)^2) - prime(n^2))/prime(n).
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2
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2, 3, 1, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277
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OFFSET
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1,1
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COMMENTS
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Conjecture: the sequence prime((n+1)^2) - prime(n^2))/prime(n) converges to 4.
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LINKS
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FORMULA
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EXAMPLE
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The first few fractions are 5/2, 16/3, 6/1, 44/7, 54/11, ... = A161846/A161847.
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PROG
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(PARI) a(n) = denominator((prime((n+1)^2) - prime(n^2))/prime(n)); \\ Michel Marcus, May 14 2020
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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