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43 is a prime number from 1-100. 43 has 2 factors, 1 and 43. It is the fourteenth prime number, and the fourteenth prime number from 1-100. It is also the smallest prime to not have a chen prime since 45 is neither prime nor semiprime. The primorial of 43 is 13,082,761,331,670,030.

43

Proofs[]

  • — 43 is divisible by 1.
  • — 43 is not divisible by 2-42.
  • — 43 is divisible by 43.
  • Therefore, 43 has two factors.

As an Exponent of Mersenne Number[]

243 - 1, which is the number 8,796,093,022,207, is divisible by numbers such as 431, 9,719, and 2,099,863 and therefore not a prime number.

Relationship with other odd numbers[]

The numbers before[]

  • The previous odd number, 41, is a prime number.
    • There are no odd numbers between 41 and 43. As a result, they are twin primes.
  • The previous odd number, 39, is not a prime number. It is divisible by 3 and 13.
  • The odd number previous to 39 is 37. 37 is a prime number.
    • 37 and 43 are six numbers apart; therefore, they are sexy primes.

The numbers after[]

  • The next odd number, 45, is not a prime number. It is divisible by 5 and 9.
  • 47, the odd number following 45, is a prime number.
    • 43 and 47 are four numbers apart; therefore, they are cousin primes.
  • 49, the odd number following 47, is not a prime number. It is the square number, being 72 = 49.
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