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A272101
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Square root of largest square dividing A069482(n).
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0
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1, 4, 2, 6, 4, 2, 6, 2, 2, 2, 2, 2, 2, 6, 10, 4, 4, 16, 2, 12, 4, 18, 2, 4, 6, 2, 2, 12, 2, 4, 2, 2, 2, 24, 10, 2, 8, 2, 2, 8, 12, 2, 16, 2, 6, 2, 2, 30, 4, 2, 4, 8, 2, 2, 4, 2, 6, 2, 6, 2, 24, 20, 2, 4, 6, 36, 2, 6, 4, 6
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OFFSET
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1,2
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COMMENTS
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a(n) is the square root of the square part of A069482(n).
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LINKS
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FORMULA
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Conjectures: (Start)
These are the only a(n)=A001223(n).
(End)
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EXAMPLE
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sqrt(5)=1*sqrt(5), a(n)=1.
sqrt(16)=4*sqrt(1), a(n)=4.
sqrt(24)=2*sqrt(6), a(n)=2.
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MATHEMATICA
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Table[Sqrt[Prime[n+1]^2-Prime[n]^2], {n, 1, 100}]/.Sqrt[_]->1
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PROG
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(PARI) a(n) = my(d=prime(n+1)^2 - prime(n)^2); sqrtint(d/core(d)); \\ Michel Marcus, Apr 27 2016
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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