On Cullen numbers which are both Riesel and Sierpiński numbers

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Nonlinear Sierpiński and Riesel numbers

Article history: Received 19 September 2011 Revised 10 June 2012 Accepted 30 August 2012 Available online xxxx Communicated by Michael A. Bennett MSC: 11B83 11Y05

متن کامل

On Generalized Cullen and Woodall Numbers That are Also Fibonacci Numbers

The m-th Cullen number Cm is a number of the form m2 m + 1 and the m-th Woodall number Wm has the form m2 m − 1. In 2003, Luca and Stănică proved that the largest Fibonacci number in the Cullen sequence is F4 = 3 and that F1 = F2 = 1 are the largest Fibonacci numbers in the Woodall sequence. A generalization of these sequences is defined by Cm,s = ms m+1 and Wm,s = ms m−1, for s > 1. In this pa...

متن کامل

On Fibonacci numbers which are elliptic Korselt numbers

Here, we show that if E is a CM elliptic curve with CM field Q( √ −d), then the set of n for which the nth Fibonacci number Fn satisfies an elliptic Korselt criterion for Q( √ −d) (defined in the paper) is of asymptotic density zero.

متن کامل

Verifying Sierpinski and Riesel Numbers in ACL2

Sierpiński and Riesel numbers are not easy to find. To disqualify an odd positive integer as a Sierpiński number or a Riesel number, one need only locate a prime in the appropriate infinite list. With four exceptions, k = 47,103,143,197, all of the first 100 odd positive integers, 1 ≤ k ≤ 199, are disqualified as Sierpiński numbers by finding at least one prime in the first eight elements of th...

متن کامل

Lucas-sierpiński and Lucas-riesel Numbers

In this paper, we show that there are infinitely many Sierpiński numbers in the sequence of Lucas numbers. We also show that there are infinitely many Riesel numbers in the sequence of Lucas numbers. Finally, we show that there are infinitely many Lucas numbers that are not a sum of two prime powers.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Number Theory

سال: 2012

ISSN: 0022-314X

DOI: 10.1016/j.jnt.2012.05.021