Definition

Noun: A whole number that is ten or greater. This term specifically refers to integers (numbers without fractions or decimals) that fall at or above the numerical value of ten.

Usage

The term "large integer" is used in mathematical, computational, and general contexts to distinguish numbers in the tens, hundreds, thousands, and beyond from smaller integers like single-digit numbers. It emphasizes the magnitude of the number.

Examples

• "For this encryption algorithm, you need to choose a large integer as your private key." (Mathematical/Computational context)
• "The estimated cost ran into the millions, a large integer that was difficult to comprehend." (General descriptive context)
• "The function is designed to handle large integers efficiently." (Computational context)

Advanced Usage

• In number theory and cryptography, the security of many systems relies on the computational difficulty of factoring large integers or solving problems related to them.
• The concept is relative; in some advanced computational fields, a "large integer" might refer to numbers with hundreds or thousands of digits.

Variants and Related Words

• Integer (n): A whole number (positive, negative, or zero) that is not a fraction.
• Big integer (n): A common synonym, especially in computer science and programming languages (e.g., Java's class).

Synonyms

• Big number
• High number
• Substantial integer

Antonyms

• Small integer
• Single-digit number
• Low number

Noun

1. an integer equal to or greater than ten