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The mathematical concept of infinity comes in different sizes.

Some infinities are larger than others. The infinity of real numbers is provably larger than the infinity of counting numbers. This hierarchical structure of infinite sets, discovered by Georg Cantor, revolutionized mathematical thinking.

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The sum of numbers 1 to 100 took young Carl Friedrich Gauss only seconds to calculate.

When Gauss was in elementary school, his teacher asked the class to add all numbers from 1 to...

Read more: The sum of numbers 1 to 100 took young Carl Friedrich Gauss only seconds to calculate.

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Every possible combination of DNA can be written as a number with 4 billion digits.

The human genome contains approximately 3 billion base pairs, each represented by one of four letters (A, T,...

Read more: Every possible combination of DNA can be written as a number with 4 billion digits.

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Every positive integer is the sum of four square numbers.

Lagrange's Four-Square Theorem states that every natural number can be represented as the sum of at most four...

Read more: Every positive integer is the sum of four square numbers.