Number Theory Terminology

noun a pair of prime numbers that have a difference of 2 between them

• Twin primes are pairs of prime numbers that have a difference of two.
• Hey, did you know about twin primes? They're pairs of prime numbers that are just two numbers apart.
• Twin primes are like BFFs in the world of numbers, always sticking together with a difference of two.
• Finding twin primes is like uncovering hidden gems in the vast sea of numbers, a rare and exciting discovery.

noun A word that represents a person, place, thing, or idea

adjective A word that describes or modifies a noun

• A primitive Pythagorean triple is a set of three positive integers that satisfy the Pythagorean theorem and have no common divisor greater than 1.
• So basically, a primitive Pythagorean triple is just a set of three numbers that work in the Pythagorean theorem and don't share any big factors.
• Yo, check out this sick primitive Pythagorean triple I found - it's like the perfect combo of numbers for a right triangle.
• The relationship between the sides of a right triangle can be seen as a primitive Pythagorean triple, where each side plays a unique role in maintaining the triangle's balance.

noun A word that represents a person, place, thing, or idea. In this case, 'coprime numbers' is a noun phrase referring to two numbers that have no common factors other than 1.

• Coprime numbers are integers that have no common factors other than 1.
• Hey, did you know that coprime numbers are numbers that don't have any factors in common except 1?
• Yo, coprime numbers are like BFFs in the world of math, they have no common factors except 1.
• In the mathematical universe, coprime numbers are like two peas in a pod, they just go together perfectly without any other factors interfering.

noun a number that is smaller than the sum of its proper divisors

adjective describing the characteristic of a number being abundant

• An abundant number is a positive integer that is smaller than the sum of its proper divisors.
• I just learned about abundant numbers in my math class - they're pretty interesting!
• Abundant numbers are like the cool kids of the math world, always surrounded by their divisors.
• In a world full of numbers, be an abundant number - always giving more than you take.

noun a number pair where each number is the sum of the factors of the other number

adjective describing the relationship between the numbers

• Amicable numbers are pairs of integers where the sum of the proper divisors of each number equals the other number.
• Amicable numbers are like BFFs in the world of math - they just love to hang out and add up to each other!
• Amicable numbers are basically math buddies that are super chill and always equal each other when you add up their divisors.
• In the world of numbers, amicable numbers are like two peas in a pod, always coming together in perfect harmony.

noun a positive integer that evenly divides another integer, excluding the integer itself

• A proper divisor of a number is any divisor other than the number itself.
• A proper divisor is any number that can divide into another number evenly, not including the number itself.
• A proper divisor is like a buddy that can divide a number without being the number itself.
• In the math world, a proper divisor is like a helpful friend that can evenly divide a number without being the number itself.