Numbers & Patterns
Mathematical marvels, statistical surprises, and numerical coincidences found in nature and human society.
Did You Know?
Every even number greater than 2 can be expressed as the sum of two primes.
This is the Goldbach Conjecture, proposed in 1742 and still unproven despite being tested up to very large...
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The mathematical shape of an egg took centuries to figure out and can’t be described by a simple equation.
Despite eggs being common objects, their precise mathematical shape remained elusive until recently. The equation describing an egg's...
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The number 142857 has unique multiplication properties.
When multiplied by any number from 1 to 6, this number produces the same digits in the same...
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The number 6174 is known as Kaprekar’s constant.
Take any four-digit number, arrange its digits in ascending and descending order, subtract the smaller from the larger,...
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The digits of pi have been calculated to over 31 trillion digits, yet we only need 39 to calculate the circumference of the observable universe.
Despite our fascination with calculating pi to more digits, we need surprisingly few for practical purposes. NASA uses...
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The number of possible arrangements of a deck of cards is about 8×10^67.
This number is so large that if every human who ever lived had been shuffling cards their entire...
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The number 37 has unique multiplication properties.
When multiplied by any number from 1 to 3, the result consists of repeated digits (37 × 3...
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Every snowflake has six sides due to the molecular structure of water.
The hexagonal pattern in snowflakes is determined by how water molecules arrange themselves when freezing. While no two...
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The sum of all positive integers equals -1/12.
This seemingly impossible result is used in string theory and quantum field theory. While it appears to violate...