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Start Over Author "Brillhart A" Journal the american mathematical monthly
23 results on '"Brillhart A"'

5. Using Conic Sections to Factor Integers

Author

Richard Blecksmith, Mike Decaro, and John Brillhart

Subjects
General Mathematics, 010102 general mathematics, Composite number, Ellipse, 01 natural sciences, Hyperbola, 010101 applied mathematics, Combinatorics, Negative case, Integer, Factorization, Conic section, Factor (programming language), 0101 mathematics, computer, computer.programming_language, Mathematics
Abstract

This paper explores the factorization of an odd, composite integer N that has been expressed in two different ways as mx2 ± ny2. The negative case mx2 − ny2 = N turns out to be quite different from the positive case mx2 + ny2 = N because it deals with a hyperbola instead of an ellipse. Of particular interest in the negative case is that Pell-connected representations produce trivial factorizations.

Published
2016

6. Problems: 10375-10381

Author

Brillhart, John, Lomont, J. S., Abe, Nobuhisa, Laberteaux, Kathryn R., Poonen, Bjorn, Hirsch, Michael, King, Jonathan L., Slater, Michael, and Kuczma, Marcin E.

Published
1994
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10. Elementary Problems: E1711-E1720

Author

Goldman, A. J., Gemignani, Michael, Thompson,, W. A., Philipp, Stanton, Jolly, R. F., Brillhart, J. D., Ivanoff, V. F., Cloud, J. D., Cohen, D. I. A., and Caskey, R. L.

Published
1964
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11. E1716

Author

Brillhart, J. D., Abad, Jack C., and Goldberg, Michael

Published
1965
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12. Advanced Problems: 5320-5329

Author

Moody, R. V., Jessen, Borge, Brillhart, John, Sutcliffe, Alan, Newman, D. J., Venkataraman, C. S., Sivaramakrishnan, R., Conway, J. H., and Flatto, Leopold

Published
1965
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14. A Case Study in Mathematical Research: The Golay-Rudin-Shapiro Sequence

Author

John Brillhart and Patrick Morton

Subjects
Discrete mathematics, Binary Golay code, General Mathematics, 010102 general mathematics, 0103 physical sciences, 010307 mathematical physics, 0101 mathematics, 01 natural sciences, Mathematical research, Sequence (medicine), Mathematics
Published
1996

15. Problems: 10375-10381

Author

Kathryn R. Laberteaux, Jonathan L. King, Michael Hirsch, John Brillhart, Bjorn Poonen, Michael Slater, J.S. Lomont, Nobuhisa Abe, and Marcin E. Kuczma

Subjects
General Mathematics, Mathematics
Published
1994

16. Mathematical Notes

Author

D. M. Topping, S. Cater, Kwangil Koh, Mohan Lal Tikoo, J. R. Trollope, R. S. BreMiller, C. W. Sloyer, John Brillhart, Arun Sanyal, Rabe von Randow, R. W. Gilmer, M. D. Levin, S. K. Berberian, W. R. Utz, and P. J. McCarthy

Subjects
General Mathematics
Published
1967

17. On the Prime Divisors of Polynomials

Author

Irving Gerst and John Brillhart

Subjects
Practical number, General Mathematics, 010102 general mathematics, Table of prime factors, Prime number, Prime element, Table of divisors, 01 natural sciences, Prime (order theory), Multiplicative number theory, Combinatorics, 0103 physical sciences, 010307 mathematical physics, 0101 mathematics, Fibonacci prime, Mathematics
Abstract

(1971). On the Prime Divisors of Polynomials. The American Mathematical Monthly: Vol. 78, No. 3, pp. 250-266.

Published
1971

18. Mathematical Notes

Author

Topping, D. M., primary, Cater, S., additional, Koh, Kwangil, additional, Tikoo, Mohan Lal, additional, Trollope, J. R., additional, BreMiller, R. S., additional, Sloyer, C. W., additional, Brillhart, John, additional, Sanyal, Arun, additional, von Randow, Rabe, additional, Gilmer, R. W., additional, Levin, M. D., additional, Berberian, S. K., additional, Utz, W. R., additional, and McCarthy, P. J., additional

Published
1967
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19. Elementary Problems: E2968-E2973

Author

J. O. Shallit, Barry L. Zaslove, George Tsintsifas, M. M. Konstantinov, John Brillhart, and J. H. Conway

Subjects
General Mathematics
Published
1982

20. E2969

Author

John Brillhart and E. R. Gentile

Subjects
General Mathematics
Published
1985

21. E1716

Author

J. D. Brillhart, Jack C. Abad, and Michael Goldberg

Subjects
General Mathematics
Published
1965

22. Advanced Problems: 5320-5329

Author

J. H. Conway, John Brillhart, R. V. Moody, Alan Sutcliffe, Borge Jessen, R. Sivaramakrishnan, C. S. Venkataraman, Leopold Flatto, and Donald J. Newman

Subjects
General Mathematics
Published
1965

23. Elementary Problems: E1711-E1720

Author

V. F. Ivanoff, Michael Gemignani, W. A. Thompson, J. D. Cloud, R. L. Caskey, A. Goldman, J. D. Brillhart, D. I. A. Cohen, R. F. Jolly, and Stanton Philipp

Subjects
General Mathematics
Published
1964

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