A Multiplication Based Logic Puzzle

523 and Level 1

523 = 61 + 67 + 71 + 73 + 79 + 83 + 89 which are all the prime numbers between 60 and 96.

521 and 523 are twin primes.

523 is the 99th prime number. It will take longer than ever before for another prime number to be featured on this blog.

The prime gap is defined as the difference between two consecutive prime numbers. The gap between this prime number and the next one is greater than between any two previous prime numbers.

GAP 100 Primes

Here is today’s puzzle:

523 Puzzle

Print the puzzles or type the solution on this excel file: 12 Factors 2015-06-15

—————————————————————————————————

  • 523 is a prime number.
  • Prime factorization: 523 is prime and cannot be factored.
  • The exponent of prime number 523 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 523 has exactly 2 factors.
  • Factors of 523: 1, 523
  • Factor pairs: 523 = 1 x 523
  • 523 has no square factors that allow its square root to be simplified. √523 ≈ 22.869193

How do we know that 523 is a prime number? If 523 were not a prime number, then it would be divisible by at least one prime number less than or equal to √523 ≈ 22.9. Since 523 cannot be divided evenly by 2, 3, 5, 7, 11, 13, 17, or 19, we know that 523 is a prime number.

—————————————————————————————————

523 Factors

Advertisements

Comments on: "523 and Level 1" (2)

  1. Isn’t there a glitch at 419 there?

    Liked by 1 person

  2. Yes, thank you for the heads up. It’s fixed now.

    Like

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

Tag Cloud