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Smarandache-Wellin number (Definition)

Given a base $b$ , concatenate the base $b$ representations of the first $n$ primes into a single integer, placing the first prime as the most significant digit(s) and the $n$ th prime as the least significant digit(s). This is the Smarandache-Wellin number $S_n$ .

For example, in base 10, $S_8$ is 235711131719, the concatenation of the strings ``2'', ``3'', ``5'', ``7'', ``11'', ``13'', ``17'' and ``19'' reinterpreted as a single integer.

Placing a decimal point immediately preceding a base 10 Smarandache-Wellin number turns it into an approximation of the Copeland-Erdos constant.

References

R. Crandall and C. Pomerance, Prime Numbers: A Computational Perspective, Springer, NY, 2001: 72

H. Ibstedt, A Few Smarandache Sequences, Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997: 170 - 183




"Smarandache-Wellin number" is owned by CompositeFan. [ owner history (1) ]
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See Also: Florentin Smarandache


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Smarandache-Wellin prime (Definition) by PrimeFan
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Cross-references: Smarandache Notions Journal, sequences, Smarandache, numbers, references, Copeland-Erdos constant, approximation, decimal point, strings, concatenation, least significant digit, most significant digit, integer, primes, representations, base
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This is version 6 of Smarandache-Wellin number, born on 2006-05-19, modified 2006-05-26.
Object id is 7921, canonical name is SmarandacheWellinNumber.
Accessed 1275 times total.

Classification:
AMS MSC11A63 (Number theory :: Elementary number theory :: Radix representation; digital problems)

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