Word Pronunciation & Dictionary

carol number

Word Rarity Uncommon

Frequency: Zipf frequency 4.01 in modern English

Syllables: car-ol num-ber
IPA

17

Scrabble Score

11

Letters

3

Syllables

10

Unique Chars

Meaning

noun

An integer of the form 4ⁿ-2ⁿ⁺¹-1.

Example Sentences

"Mathematically, it is actually interesting in all sorts of ways, being both a Keith number and a Carol number."
"[…] 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. […]"
"In 2007 the largest Carol number was found for n = 253987, consisting of 152916 digits, by using the programs MultiSieve and PrimeFormGW."
"For ngt;2, the binary representation of the n-th Carol number is n-2 consecutive unities, a single zero in the middle, and n#43;1 more consecutive unities, or to put it algebraically, #92;textstyle#123;CN(n)#61;#92;sum#95;#123;i#61;1,i#92;nen#43;2#125;#123;2n#125;2#123;i-1"

Etymology

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

Inflected Forms

Carol numbers (plural)

Questions

What does carol number mean?: An integer of the form 4ⁿ-2ⁿ⁺¹-1.
Where does carol number come from?: First studied by Cletus Emmanuel, who named it after a friend, Carol G. Kirnon.

How to pronounce carol number

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