A111421 - OEIS

A111421

a(n) = n-th decimal digit + 1 of the fractional part formed by the square root of the n-th prime.

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

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OFFSET

2,1

COMMENTS

Also a Cantor diagonal proving the irrational numbers are a non-denumerable infinite set. Also A071901(n)+ 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. Sqrt(3) = 1.7320508..., The 2nd entry after the decimal point is 3 and 3+1=4, the 2nd entry in the table.

MATHEMATICA