Sunday, March 18, 2012

Happy Birthday, Christian

Today in 1690 Christian Goldbach was born, in Königsberg, part of Brandenburg-Prussia.

His famous conjecture:
Every even integer greater than 3 can be written as the sum of two primes
remains unproved (though intuitively obvious), but he's also remembered for the the Goldbach–Euler theorem (also known as Goldbach's theorem), which states that the sum of 1/(p − 1) over the set of perfect powers p, excluding 1 and omitting repetitions, converges to 1. (The perfect powers are 4, 8, 9, 16, 25, 27 - whole numbers which are other whole numbers raised to a power (squared, cubed, etc).) So the theorem is that 1/3 + 1/7 + 1/8 + 1/15 + 1/24 ... = 1.

Whoo! Math! It kills me, but I love it (abstractly).

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1 Comments:

At 11:04 AM, March 19, 2012 Anonymous Mark had this to say...

Intuitively obvious? There are some very large even numbers (in fact, an infinite number), and whether each can be expressed as the sum of two primes is beyond my intuition.

 

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