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A doubly even number is an integer that is divisible more than once by 2; it is even and its quotient by 2 is also even. The separate consideration of oddly and evenly even numbers is useful in many parts of mathematics, especially in number theory, combinatorics , coding theory (see even codes ), among others.
In 1747, Leonhard Euler completed what is now called the Euclid–Euler theorem, showing that these are the only even perfect numbers. As a result, there is a one-to-one correspondence between Mersenne primes and even perfect numbers, so a list of one can be converted into a list of the other. [1] [5] [6]
In 1975, Hugh Lowell Montgomery and Bob Vaughan showed that "most" even numbers are expressible as the sum of two primes. More precisely, they showed that there exist positive constants c and C such that for all sufficiently large numbers N, every even number less than N is the sum of two primes, with at most CN 1 − c exceptions.
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
Even numbers usually appear on verso (left-hand) pages, while odd numbers appear on recto (right-hand) pages. In the printing industry, in cases where odd numbers appear on verso pages and even numbers on recto pages, this is referred to as non-traditional folios (in the past, it had been referred to as Chinese folios, however this term has fallen out of favor in recent years).
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The numbers that end with other digits are all composite: decimal numbers that end in 0, 2, 4, 6, or 8 are even, and decimal numbers that end in 0 or 5 are divisible by 5. [11] The set of all primes is sometimes denoted by (a boldface capital P) [12] or by (a blackboard bold capital P). [13]
Image credits: Phoenix_Gaming1 According to a Pew Research Center survey from last year, the majority (58%) of people nowadays prefer getting their information using their devices (leaving ...