Some primes with interesting digit patterns

Author:
H. C. Williams

Journal:
Math. Comp. **32** (1978), 1306-1310

MSC:
Primary 10A30

DOI:
https://doi.org/10.1090/S0025-5718-1978-0480311-0

Corrigendum:
Math. Comp. **39** (1982), 759.

Corrigendum:
Math. Comp. **39** (1982), 759.

MathSciNet review:
0480311

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Several tables of prime numbers whose forms are generalizations of the form of the repunit numbers are presented. The repunit number is shown to be a prime.

**[1]**John Brillhart and J. L. Selfridge,*Some factorizations of 2ⁿ±1 and related results*, Math. Comp. 21 (1967), 87-96; corrigendum, ibid.**21**(1967), 751. MR**0224532**, https://doi.org/10.1090/S0025-5718-67-99898-5**[2]**John Brillhart, D. H. Lehmer, and J. L. Selfridge,*New primality criteria and factorizations of 2^{𝑚}±1*, Math. Comp.**29**(1975), 620–647. MR**0384673**, https://doi.org/10.1090/S0025-5718-1975-0384673-1**[3]**R. FINKELSTEIN & J. LEYBOURNE, "Consecutive-digit primes (Round 3),"*J. Recreational Math.*, v. 6, 1973, pp. 204-205.**[4]**J. S. MADACHY, "A consecutive-digit prime,"*J. Recreational Math.*, v. 4, 1971, p. 100.**[5]**H. C. Williams and J. S. Judd,*Determination of the primality of 𝑁 by using factors of 𝑁²±1*, Math. Comp.**30**(1976), no. 133, 157–172. MR**0396390**, https://doi.org/10.1090/S0025-5718-1976-0396390-3**[6]**H. C. Williams and J. S. Judd,*Some algorithms for prime testing using generalized Lehmer functions*, Math. Comp.**30**(1976), no. 136, 867–886. MR**0414473**, https://doi.org/10.1090/S0025-5718-1976-0414473-6**[7]**H. C. Williams and R. Holte,*Some observations on primality testing*, Math. Comp.**32**(1978), no. 143, 905–917. MR**0476625**, https://doi.org/10.1090/S0025-5718-1978-0476625-0**[8]**Samuel Yates,*Sylvester primes*, J. Recreational Math.**8**(1975/76), no. 3, 215–217. MR**0422131****[9]**Samuel Yates,*Prime divisors of repunits*, J. Recreational Math.**8**(1975/76), no. 1, 33–38. MR**0429722**

Retrieve articles in *Mathematics of Computation*
with MSC:
10A30

Retrieve articles in all journals with MSC: 10A30

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1978-0480311-0

Article copyright:
© Copyright 1978
American Mathematical Society