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Date: 24-8-2020
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Date: 18-12-2019
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Date: 30-9-2020
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A Stoneham number is a number of the form
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where are relatively prime positive integers. Stoneham (1973) proved that
is
-normal whenever
is an odd prime and
is a primitive root of
. This result was extended by Bailey and Crandall (2003), who showed that
is normal for all positive integers
and
provided only that
and
are relatively prime.
REFERENCES:
Bailey, D. H. and Crandall, R. E. "Random Generators and Normal Numbers." Exper. Math. 11, 527-546, 2002.
Stoneham, R. "On Absolute -Normality in the Rational Fractions with Applications to Normal Numbers." Acta Arith. 22, 277-286, 1973.
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