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  2. Berry paradox - Wikipedia

    en.wikipedia.org/wiki/Berry_paradox

    In this context, the terms string and number may be used interchangeably, since a number is actually a string of symbols, e.g. an English word (like the word "eleven" used in the paradox) while, on the other hand, it is possible to refer to any word with a number, e.g. by the number of its position in a given dictionary or by suitable encoding.

  3. Sum and Product Puzzle - Wikipedia

    en.wikipedia.org/wiki/Sum_and_Product_Puzzle

    The sums of all of the possible 2-splits of his product except one have disappeared from Table 2 compared to all numbers between 5 and 100 that were considered as sums from the outset. The only one that remains must be the sum of the two hidden numbers X and Y whose product X·Y he knows.

  4. Goldbach's conjecture - Wikipedia

    en.wikipedia.org/wiki/Goldbach's_conjecture

    Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that every even natural number greater than 2 is the sum of two prime numbers. The conjecture has been shown to hold for all integers less than 4 × 10 18 but remains unproven despite considerable effort.

  5. Sicherman dice - Wikipedia

    en.wikipedia.org/wiki/Sicherman_dice

    The Sicherman dice were discovered by George Sicherman of Buffalo, New York and were originally reported by Martin Gardner in a 1978 article in Scientific American. The numbers can be arranged so that all pairs of numbers on opposing sides sum to equal numbers, 5 for the first and 9 for the second.

  6. Sexy prime - Wikipedia

    en.wikipedia.org/wiki/Sexy_prime

    For example, the numbers 5 and 11 are both sexy primes, because both are prime and =. The term "sexy prime" is a pun stemming from the Latin word for six: sex . If p + 2 or p + 4 (where p is the lower prime) is also prime, then the sexy prime is part of a prime triplet .

  7. Fermat's theorem on sums of two squares - Wikipedia

    en.wikipedia.org/wiki/Fermat's_theorem_on_sums_of...

    If a number which is a sum of two squares is divisible by a prime which is a sum of two squares, then the quotient is a sum of two squares. (This is Euler's first Proposition). Indeed, suppose for example that a 2 + b 2 {\displaystyle a^{2}+b^{2}} is divisible by p 2 + q 2 {\displaystyle p^{2}+q^{2}} and that this latter is a prime.

  8. No. 15 Arizona State owns Big 12 title game with rout of No ...

    www.aol.com/no-15-arizona-state-owns-154958535.html

    Rocco Becht completed 21 of 35 passes for 214 yards, two touchdowns and one interception for the Cyclones (10-3), who saw their chances for a playoff spot come to an end. Jaylin Noel and Carson ...

  9. List of sums of reciprocals - Wikipedia

    en.wikipedia.org/wiki/List_of_sums_of_reciprocals

    A "powerful number" is a positive integer for which every prime appearing in its prime factorization appears there at least twice. The sum of the reciprocals of the powerful numbers is close to 1.9436 . [4] The reciprocals of the factorials sum to the transcendental number e (one of two constants called "Euler's number").