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Stoneham number

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In mathematics, the Stoneham numbers are a certain class of real numbers, named after mathematician Richard G. Stoneham (1920–1996). For coprime numbers b, c > 1, the Stoneham number αb,c is defined as

It was shown by Stoneham in 1973 that αb,c is b-normal whenever c is an odd prime and b is a primitive root of c2. In 2002, Bailey & Crandall showed that coprimality of b, c > 1 is sufficient for b-normality of αb,c.[1]

References

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  1. ^ Bailey, David H.; Crandall, Richard E. (2002). "Random Generators and Normal Numbers". Experimental Mathematics. 11 (4): 527–546. doi:10.1080/10586458.2002.10504704. S2CID 8944421.