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44 has an aliquot sum of 40, within an aliquot sequence of three composite numbers (44, 40, 50, 43, 1, 0) rooted in the prime 43-aliquot tree. Since the greatest prime factor of 44 2 + 1 = 1937 is 149 and thus more than 44 twice, 44 is a Størmer number. [3] Given Euler's totient function, φ(44) = 20 and φ(69) = 44.
Number Nickname Explanation 1 Kelly's eye [3] The pun is military slang; [4] possibly a reference to Ned Kelly, from Ned Kelly's helmet, the eye slot resembling the number 1. 2 One little duck From the resemblance of the number 2 to a duck; see also "22". Response is a single "quack." 3 Cup of tea Rhymes with "three". 4 Knock at the door
Taking this one stage further, the clue word can hint at the word or words to be abbreviated rather than giving the word itself. For example: "About" for C or CA (for "circa"), or RE. "Say" for EG, used to mean "for example". More obscure clue words of this variety include: "Model" for T, referring to the Model T.
Crossword clues are generally consistent with the solutions. For instance, clues and their solutions should always agree in tense, number, and degree. [6] If a clue is in the past tense, so is the answer: thus "Traveled on horseback" would be a valid clue for the solution RODE, but not for RIDE.
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These numbers, borrowing crossword terminology, are commonly called "clues". The objective of the puzzle is to insert a digit from 1 to 9 inclusive into each white cell so that the sum of the numbers in each entry matches the clue associated with it and that no digit is duplicated in any entry.
The number of words in the answer is not given in the clue—so a one-word clue can have a multiple-word answer. [ 28 ] The theme, if any, will be applied consistently throughout the puzzle; e.g., if one of the theme entries is a particular variety of pun, all the theme entries will be of that type. [ 9 ]
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