prime number

Meanings

• noun

  A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

• For example, the first six prime numbers are 2, 3, 5, 7, 11, and 13.

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Antonyms

composite number

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Synonyms

prime

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Variants

List of all variants of prime number that leads to same result
prime number , prime numbers

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Etymology

origin and the way in which meanings have changed throughout history.

The term 'prime number' comes from the Latin word 'primus', which means 'first'. A prime number is the first kind of number in the number series.

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Trivia

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1. The largest known prime number as of 2021 is 2^82,589,933−1, which has 24,862,048 digits.

2. The first 10,000 prime numbers are known as the 'Mersenne primes' if they can be expressed in the form 2^p−1, where p is also a prime number. Only 49 Mersenne primes have been discovered as of 2021.

3. The Riemann Hypothesis, which states that all non-trivial zeros of the Riemann zeta function lie on the critical line, remains one of the most famous unsolved problems in mathematics and has implications for understanding the distribution of prime numbers.

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Related Concepts

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1. Composite number: A composite number is a natural number that can be expressed as a product of two or more smaller natural numbers. Prime numbers are the opposite of composite numbers, as they cannot be expressed as a product of smaller natural numbers.

2. Sieve of Eratosthenes: A method used to find all prime numbers up to a given limit. The algorithm works by iteratively marking the multiples of each prime number as composite, leaving the unmarked numbers as prime.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

Prime numbers have been studied extensively in mathematics and have various applications in fields such as cryptography and computer science. They have been the subject of numerous mathematical theorems and proofs, including the famous Goldbach Conjecture.

How to Memorize "prime number"

1. visualize
   

   - Imagine a sieve, where you mark multiples of primes as composite and leave the unmarked numbers as primes. This visualization can help you remember what prime numbers are.

2. associate
   

   - Associate prime numbers with the first kind of number in a series. For example, 2 is the first prime number, 3 is the second prime number, and so on.

3. mnemonics
   

   - Use the mnemonic 'Alligators Can't Do Long Division' to remember the first few prime numbers: 2, 3, 5, 7. Each letter in the word corresponds to the position of the prime number in the sequence.

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