Did You Know?

The first four sequential powers of 2 add up to 30.

2^1 + 2^2 + 2^3 + 2^4 = 2 + 4 + 8 + 16 = 30. This is the only instance where four sequential powers of any number add to a number exactly twice the highest power. This demonstrates unique properties of the number 2.

Did You Know?

The first million digits of pi contain six nines in a row, known as the ‘Feynman Point.’

This sequence occurs at the 762,762nd decimal place. While statistically unremarkable, it demonstrates how we can find interesting...

Read more: The first million digits of pi contain six nines in a row, known as the ‘Feynman Point.’

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A circle can be divided into 7 equal parts using only a compass and unmarked straightedge.

While it's impossible to construct a regular heptagon using classical methods, you can approximate it to high precision....

Read more: A circle can be divided into 7 equal parts using only a compass and unmarked straightedge.

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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...

Read more: Every even number greater than 2 can be expressed as the sum of two primes.