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Experimental Mathematics Volume 10, 2001 - Issue 2
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Original Articles

Prime Numbers with a Fixed Number of One Bits or Zero Bits in Their Binary Representation

Samuel S. Wagstaff Center for Education and Research in Information Assurance and Security and Department of Computer Sciences, Purdue University, West Lafayette, IN, 47907-1398, United States E-mail: [email protected]
Pages 267-273 | Published online: 04 Apr 2012

REFERENCES

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  • Brillhart , J. , Lehmer , D. H. , Selfridge , J. L. , Tuckerman , B. and Wagstaff , S. S. Jr. 1988 . Factorizations of bn ±1, b = 2, 3, 5, 6, 7, 10, 11, 12 up to high powers, , Second ed. Providence , Rhode Island : Amer. Math. Soc. . [Brillhart et al. 1988]
  • Dartyge , C. and Mauduit , C. 2000 . “Nombres presque premiers dont 1' 'ecritureen base rne compose pas certain chiffres” . J. Number Theory , 81 : 270 – 291 . [Dartyge and Mauduit 2000]
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  • Pohlig , S. and Hellman , M. 1978 . “An improved algorithm for computing logarithms over GF(p) and its cryptographic significance” . IEEE Trans, on Info. Theory , IT-24 ( 1 ) : 106 – 110 . [Pohlig and Hellman 1978]
  • Stolarsky , K. B. 1980 . “Integers whose multiples have anomalous digital frequencies” . Acta Arith. , 38 : 117 – 128 . [Stolarsky 1980]
  • Wagstaff , S. S. Jr. 1983 . “Divisors of Mersenne numbers” . Math. Comp. , 40 : 385 – 397 . [Wagstaff 1983]

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