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Comments and topics on Smarandache notions and problems. (English) Zbl 0861.11004

Vail, AZ: Erhus Univ. Press. 50 p. (1996).
In this book one finds explicit formulas, properties, and nice conjectures related to some of the Smarandache type sequences, such as: digital sums, amicable numbers, square and cubic complements, superior/inferior prime/square/cubic/\(m\)-power parts, prime/square/cubic/\(m\)-power additive complements, double factorials, quotients, primitive numbers, sequence of positions, progressions, counters, pseudo-primes/pseudo-factorials/pseudo-squares/pseudo-cubics/pseudo-\(m\)-powers of first/second/third kind, prime equation solutions, Goldbach-Smarandache/Vinogradov-Smarandache sequences, non-Smarandache/paradoxist numbers, prime/square/cubic/\(m\)-power bases, etc.

MSC:

11A25 Arithmetic functions; related numbers; inversion formulas
11B75 Other combinatorial number theory
11B83 Special sequences and polynomials
11A99 Elementary number theory
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