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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.
The abbreviation is not always a short form of the word used in the clue. For example: "Knight" for N (the symbol used in chess notation) 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.
Example grid for a cross-figure puzzle with some answers filled in. A cross-figure (also variously called cross number puzzle or figure logic) is a puzzle similar to a crossword in structure, but with entries that consist of numbers rather than words, where individual digits are entered in the blank cells.
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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
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.
The black cells contain a diagonal slash from upper-left to lower-right and a number in one or both halves, such that each horizontal entry has a number in the half-cell to its immediate left and each vertical entry has a number in the half-cell immediately above it. These numbers, borrowing crossword terminology, are commonly called "clues".
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