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82.5 Unforgettable Fermat factors

Published online by Cambridge University Press:  22 September 2016

J. M. Pollard*
Affiliation:
Tidmarsh Cottage, Manor Farm Lane, Tidmarsh, Reading RG8 8EX

Abstract

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Type
Notes
Copyright
Copyright © Mathematical Association 1998 

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References

1. Gardner, Martin, Mathematical puzzles and diversions, Penguin (1959).Google Scholar
2. Williams, H.C., How was F6 factored? Math. Comp. 61 (1993) pp. 463474.Google Scholar
3. Morrison, M. and Brillhart, J., A method of factoring and the factorisation of F7 , Math. Comp. 29 (1975) pp. 183208.Google Scholar
4. Brent, R.P. and Pollard, J.M., Factorisation of the eighth Fermat number, Math. Comp. 36 (1981) pp. 672–630.10.1090/S0025-5718-1981-0606520-5Google Scholar
5. Lenstra, A.K., Lenstra, H.W., Manasse, M. and Pollard, J.M., The factorisation of the ninth Fermat number, Math. Comp. 61 (1993) pp. 319349.Google Scholar
6. Brent, R.P., Factorization of the tenth and eleventh Fermat numbers, Math. Comp, (to appear).Google Scholar
7. Brillhart, J., Lehmer, D.H., Selfridge, J.L., Tuckerman, B. and Wagstaff, S.S. Jr., Factorizations of bn ± 1, b = 2,3, 5, 6, 7,10, 11, 12 up to high powers , American Mathematical Society, Providence, Rhode Island, 2nd edition, (1988).Google Scholar