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[7] [8] [9] It is widely believed, [10] but not proven, that no odd perfect numbers exist; numerous restrictive conditions have been proven, [10] including a lower bound of 10 1500. [11] The following is a list of all 52 currently known (as of January 2025) Mersenne primes and corresponding perfect numbers, along with their exponents p.
"The quick brown fox jumps over the lazy dog" is an English-language pangram – a sentence that contains all the letters of the alphabet. The phrase is commonly used for touch-typing practice, testing typewriters and computer keyboards , displaying examples of fonts , and other applications involving text where the use of all letters in the ...
For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28. The first four perfect numbers are 6, 28, 496 and 8128. [2] The sum of proper divisors of a number is called its aliquot sum, so a perfect number is one that is equal to its aliquot sum.
As an example, the New York Times crossword of April 26, 2005 by Sarah Keller, edited by Will Shortz, featured five themed entries ending in the different parts of a tree: SQUARE ROOT, TABLE LEAF, WARDROBE TRUNK, BRAIN STEM, and BANK BRANCH. The above is an example of a category theme, where the theme elements are all members of the same set.
Alpha One, also known as Alpha One: Breaking the Code, was a first and second grade program introduced in 1968, and revised in 1974, [8] that was designed to teach children to read and write sentences containing words containing three syllables in length and to develop within the child a sense of his own success and fun in learning to read by using the Letter People characters. [9]
Perfect rhyme (also called full rhyme, exact rhyme, [1] or true rhyme) is a form of rhyme between two words or phrases, satisfying the following conditions: [2] [3] The stressed vowel sound in both words must be identical, as well as any subsequent sounds. For example, the words kit and bit form a perfect rhyme, as do spaghetti and already in ...
For example, a word where every featured letter appears twice, like "Shanghaiings", might be called a pair isogram, [8] a second-order isogram, [2] or a 2-isogram. [3] A perfect pangram is an example of a heterogram, with the added restriction that it uses all the letters of the alphabet.
For example, S sounds can imply danger or make the audience feel as if they are being deceived. [37] Other sounds can likewise generate positive or negative responses. [38] Alliteration serves to "intensify any attitude being signified". [39]: 6–7 An example is in John F. Kennedy's Inaugural Address, in which he uses alliteration 21 times.
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