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Conjecture

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HAZARDAGUESS.

Last seen on: The New Yorker Tuesday, 26 December 2023 Crossword Answers

Random information on the term “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 4×1017, but remains unproven despite considerable effort.

On 7 June 1742, the Prussian mathematician Christian Goldbach wrote a letter to Leonhard Euler (letter XLIII), in which he proposed the following conjecture:

Goldbach was following the now-abandoned convention of considering 1 to be a prime number, so that a sum of units would be a sum of primes.He then proposed a second conjecture in the margin of his letter, which implies the first:

… eine jede Zahl, die grösser ist als 2, ein aggregatum trium numerorum primorum sey.Every integer greater than 2 can be written as the sum of three primes.

Euler replied in a letter dated 30 June 1742 and reminded Goldbach of an earlier conversation they had had (“… so Ew vormals mit mir communicirt haben …”), in which Goldbach had remarked that the first of those two conjectures would follow from the statement

Conjecture on Wikipedia

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