Some prime numbers of the forms and

Authors:
H. C. Williams and C. R. Zarnke

Journal:
Math. Comp. **26** (1972), 995-998

MSC:
Primary 10A25

DOI:
https://doi.org/10.1090/S0025-5718-1972-0314747-X

MathSciNet review:
0314747

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Abstract | References | Similar Articles | Additional Information

Abstract: All primes of the form and of the form , where and , are found. Some large twin primes are also determined.

**[1]**H. Riesel, ``Lucasian criteria for the primality of ,''*Math. Comp.*, v. 23, 1969, pp. 869-875. MR**41**#6773. MR**0262163 (41:6773)****[2]**R. M. Robinson, ``A report on primes of the form and on factors of Fermat numbers,''*Proc. Amer. Math. Soc.*, v. 9, 1958, pp. 673-681. MR**20**#3097. MR**0096614 (20:3097)****[3]**H. C. Williams & C. R. Zarnke, ``A report on prime numbers of the forms and ,''*Math. Comp.*, v. 22, 1968, pp. 420-422. MR**37**#2680. MR**0227095 (37:2680)****[4]**H. C. Williams, ``The primality of ,''*Canad. Math. Bull.*, (To appear.) MR**0311559 (47:121)****[5]**H. C. Williams, ``An algorithm for determining certain large primes,''*Proc. Second Louisiana Conference on Combinatorics, Graph Theory and Computing*, Baton Rouge, 1971, pp. 533-556. MR**0319874 (47:8415)**

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DOI:
https://doi.org/10.1090/S0025-5718-1972-0314747-X

Keywords:
Primes,
twin primes,
algorithm

Article copyright:
© Copyright 1972
American Mathematical Society