Observations on Carmichael Numbers with Four Factors (Report)
Bulletin of Pure & Applied Sciences-Mathematics 2008, Jan-June, 27, 1
Bulletin of Pure & Applied Sciences-Mathematics
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INTRODUCTION Number is the essence of mathematical calculations. Varieties of numbers have variety of range and richness. Many numbers exhibit fascinating properties ,they form sequences, they form patterns and so on [1,2,3,4]. A more rare kind of numbers known as Carmichael numbers or pseudo primes named after Robert Carmichael who found the first and smallest such number 561. In this communication, it is shown that for any Carmichael number N with four prime factors [p.sub.i], i = 1, 2, 3, 4, N 4 [p.sub.2.sup.12]. Also, the inequalities satisfied by the prime factors are presented.
- Category: Mathematics
- Published: 01 January 2008
- Publisher: A.K. Sharma, Ed & Pub
- Seller: The Gale Group, Inc.
- Print Length: 5 Pages
- Language: English