A111422 - OEIS

A111422

a(n) = n-th decimal digit of the fractional part of the cube root of the n-th prime.

2, 4, 9, 9, 8, 4, 5, 4, 9, 6, 9, 5, 7, 2, 4, 0, 4, 5, 0, 0, 6, 3, 7, 8, 4, 6, 7, 9, 3, 6, 7, 7, 8, 2, 5, 9, 0, 6, 1, 8, 8, 8, 3, 9, 1, 6, 6, 9, 9, 9, 4, 4, 3, 7, 7, 2, 4, 4, 7, 6, 7, 1, 8, 4, 6, 6, 9, 0, 6, 5, 7, 9, 8, 9, 7, 5, 2, 4, 5, 1, 7, 0, 9, 4, 7, 0, 6, 3, 1, 7, 3, 9, 3, 7, 0, 9, 4, 0, 9, 7, 0, 9, 7, 2, 0

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OFFSET

2,1

REFERENCES

John D. Barrow, The Infinite Book, Pantheon Book New York 2005, pp. 69-76.

LINKS

Table of n, a(n) for n=2..106.

EXAMPLE

The 2nd prime is 3. 3^(1/3) = 1.442249..., The 2nd entry after the decimal point is 4 the 2nd entry in the table.

MATHEMATICA

a[n_] := Block[{rd = RealDigits[(Prime@n)^(1/3), 10, 111]}, rd[[1, n + rd[[2]]]]];

Array[a, 105] (* Robert G. Wilson v, Nov 17 2005 *)