Math Trivia and Answers

Medium

What number comes next: 1, 11, 21, 1211, 111221, ...?

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Answer: 312211
More information: John Conway's "look and say" sequence has no digits other than 1, 2, and 3 in it, unless the seed number contains such a digit or a run of more than three of the same digit. A degenerate sequence appears with the seed of 22.

Medium

What is Bertrand Russell's Erdős number?

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Answer: 3
More information: Russell collaborated very little and no Erdös number can be found using research articles. But, as pointed out by Sachi Sri Kantha at "the Erdös number project" Russell and Albert Einstein did coauthor the Russell-Einstein "Peace" Manifesto of 1955.

Easy

How many obvious/trivial factors does a natural number N have?

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Answer: 4 trivial factors.
More information: The positive +1 and +N and the negative -1 and -N.

Easy

Which mathematician has an Erdős number of zero (0)?

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Answer: Paul Erdős, of course!
More information: As the Erdős number describes the "collaborative distance" in authorship of mathematical papers between mathematician Paul Erdős and another person it is only natural that Paul Erdős holds this position.

Easy

What is a positive integer that is equal to the sum of its proper positive divisors (excluding the number itself) called?

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Answer: A perfect number.
More information: You might also think of a perfect number as a number that is half the sum of all of its positive divisors, including itself! This definition is at least 2300 years old as it appears in Euclid's "Elements".

Easy

Is 36 a perfect number?

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Answer: No, it's not!
More information: Adding up the divisors of 36: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 = 55

Easy

What is the sum of the angles of a triangle?

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Answer: 180 degrees
More information: The angles of a triangle always sum to 180 degrees.



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