Výsledky vyhledávání - "J. L. Selfridge"

Subsets of an interval whose product is a power

Autor: Esther Szekeres, J. L. Selfridge, Janice L. Malouf, Paul Erdős

Publikováno v: Discrete Mathematics. 200:137-147

We form squares from the product of integers in a short interval [ n , n + t n ], where we include n in the product. If p is prime, p | n , and ( 2 p ) > n , we prove that p is the minimum t n . If no such prime exists, we prove t n ⩽ √5 n when n

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b2c84a6bdb8bffbc58aa218aab12430
https://doi.org/10.1016/s0012-365x(98)00332-x

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Cluster Primes

Autor: Richard Blecksmith, Paul Erdős, J. L. Selfridge

Publikováno v: The American Mathematical Monthly. 106:43-48

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::464caecb094364ff214541b747121bbd
https://doi.org/10.1080/00029890.1999.12005005

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3-Smooth Representations of Integers

Autor: Richard Blecksmith, J. L. Selfridge, Michael McCallum

Publikováno v: The American Mathematical Monthly. 105:529-543

(1998). 3-Smooth Representations of Integers. The American Mathematical Monthly: Vol. 105, No. 6, pp. 529-543.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fc8166725e2d56c1acb06ad9295a349b
https://doi.org/10.1080/00029890.1998.12004921

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Estimates of the least prime factor of a binomial coefficient

Autor: P. Erdős, C. B. Lacampagne, J. L. Selfridge

Publikováno v: Mathematics of Computation. 61:215-224

We estimate the least prime factor p of the binomial coefficient ( k N ) \left ( {_k^N} \right ) for k ≥ 2 k \geq 2 . The conjecture that p ≤ max ( N / k , 29 ) p \leq \max (N/k,29) is supported by considerable numerical evidence. Call a binomial

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfc2b07faa9574ef6e816aa00267c2c0
https://doi.org/10.1090/s0025-5718-1993-1199990-6

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A semigroup embedding problem and an arithmetical function

Autor: J. L. Selfridge, John M. Howie

Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 109:277-286

For unexplained terms in semigroup theory see [1] or [4].Let C, D be classes of semigroups such that every finite semigroup in the class C is embeddable in a finite semigroup in the class D. If n ≥ 2 then k is said to be a C – Dcover of n if ever

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2628a46c06e239b4994c209206cc4f76
https://doi.org/10.1017/s0305004100069747

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Product of Integers in an Interval, Modulo Squares

Autor: Andrew Granville, J. L. Selfridge

Publikováno v: The Electronic Journal of Combinatorics. 8

We prove a conjecture of Irving Kaplansky which asserts that between any pair of consecutive positive squares there is a set of distinct integers whose product is twice a square. Along similar lines, our main theorem asserts that if prime $p$ divides

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ad0bd8913670bcd1691533003c02f93a
https://doi.org/10.37236/1549

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