Some new primes of the form $k\cdot 2^{n}+1$
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- by G. Matthew and H. C. Williams PDF
- Math. Comp. 31 (1977), 797-798 Request permission
Abstract:
All primes of the form $k \cdot {2^n} + 1,k$ odd, for $9 \leqslant k \leqslant 99, 512 \leqslant n \leqslant 1000$ and for $101 \leqslant k \leqslant 129, 1 \leqslant n \leqslant 1000$ are determined and factors are found for the Fermat numbers ${F_{744}}$ and ${F_{556}}$.References
- John C. Hallyburton Jr. and John Brillhart, Two new factors of Fermat numbers, Math. Comp. 29 (1975), 109–112. MR 369225, DOI 10.1090/S0025-5718-1975-0369225-1
- Raphael M. Robinson, A report on primes of the form $k\cdot 2^{n}+1$ and on factors of Fermat numbers, Proc. Amer. Math. Soc. 9 (1958), 673–681. MR 96614, DOI 10.1090/S0002-9939-1958-0096614-7
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Math. Comp. 31 (1977), 797-798
- MSC: Primary 10-04
- DOI: https://doi.org/10.1090/S0025-5718-1977-0439719-0
- MathSciNet review: 0439719