Here it is a long list of sequences, functions, unsolved problems, conjectures, theorems, relationships, operations, etc. Some of them are inter-connected. 1) Consecutive Sequence: 1,12,123,1234,12345,123456,1234567,12345678,123456789,12345678910, 1234567891011,123456789101112,12345678910111213,... How many primes are there among these numbers? In a general form, the Consecutive Sequence is considered in an arbitrary numeration base B.
Student Conference, University of Craiova, Department of Mathematics, April 1979, "Some problems in number theory" by Florentin Smarandache.
Arizona State University, Hayden Library, "The Florentin Smarandache papers" special collection, Tempe, AZ 85287-1006, USA.
The Encyclopedia of Integer Sequences", by N. J. A. Sloane and S. Plouffe, Academic Press, San Diego, New York, Boston, London, Sydney, Tokyo, Toronto, 1995; also online, email: email@example.com ( SUPERSEEKER by N. J. A. Sloane, S. Plouffe, B. Salvy, ATT Bell Labs, Murray Hill, NJ 07974, USA);
N. J. A. Sloane, e-mails to R. Muller, February 13 - March 7, 1995.
sequences, functions, unsolved problems, conjectures, theorems, relationships, operation
Smarandache, Florentin. "SEQUENCES OF NUMBERS INVOLVED IN UNSOLVED PROBLEMS." (2006). https://digitalrepository.unm.edu/math_fsp/199
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