Monday, March 14, 2016

Mathematicians Finding Patterns in Random Distributions

Patterns with random distributions are not suppose to happen. A pair of mathematicians found that in the first hundred million primes, a prime ending in 1 is followed by another ending in 1 just 18.5 per cent of the time. If these primes were distributed randomly, the expected outcome would be 25%. They found it to be 18%. Primes ending in 3 and 7 were followed by 1 30% of the time, while a 9 follows a 1 around 22%. These also had expected outcomes of 25%.

We're finding that patterns in randomness exist everywhere. Experience stock traders have long known that random walk theory, the belief that trends (past movements) cannot be used to predict future outcomes, fails even practical observation.

Headline: Mathematicians shocked to find pattern in “random” prime numbers

Mathematicians are stunned by the discovery that prime numbers are pickier than previously thought. The find suggests number theorists need to be a little more careful when exploring the vast infinity of primes.

Primes, the numbers divisible only by themselves and 1, are the building blocks from which the rest of the number line is constructed, as all other numbers are created by multiplying primes together. That makes deciphering their mysteries key to understanding the fundamentals of arithmetic.



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