Carol number

Hello, you have come here looking for the meaning of the word Carol number. In DICTIOUS you will not only get to know all the dictionary meanings for the word Carol number, but we will also tell you about its etymology, its characteristics and you will know how to say Carol number in singular and plural. Everything you need to know about the word Carol number you have here. The definition of the word Carol number will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofCarol number, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.

English

Etymology

First studied by Cletus Emmanuel, who named it after a friend, Carol G. Kirnon.

Noun

Carol number (plural Carol numbers)

(mathematics) An integer of the form $4^{n}-2^{n+1}-1$ $4^{n}-2^{n+1}-1$ .
- 2009, The Philosophers' Magazine - Issue 47, page 4:
  Mathematically, it is actually interesting in all sorts of ways, being both a Keith number and a Carol number.
- 2014, Rajesh Kumar Thakur, The Power of Mathematical Numbers, page 131:
  7. There are 47 occurrences of 47 in the first thousand prime numbers. 8. The atomic number of Silver is 47. 9. It is a Carol number.
- 2019, Dr. Ir. Maarten Looijen, Over getallen gesproken - Talking about numbers, page 70:
  In 2007 the largest Carol number was found for n = 253987, consisting of 152916 digits, by using the programs MultiSieve and PrimeFormGW.
- 2021, Elena Deza, Mersenne Numbers And Fermat Numbers, page 136:
  For $n>2,$ the binary representation of the $n$ -th Carol number is $n-2$ consecutive unities, a single zero in the middle, and $n+1$ more consecutive unities, or to put it algebraically, $\textstyle {CN(n)=\sum _{i=1,i\neq n+2}^{2n}2^{i-1}}.$

Wikious

Boobota

Sagapedia