| 111 (number) |
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Information About111 (number) |
IN MATHEMATICS One hundred {Link without Title} eleven is R3 or the second Repunit , a Number like 11, 111, or 1111 that consists of '''rep'''eated '''unit'''s, or 1's. It equals 3 x 37, therefore all triplets (numbers like 222 or 666) in base ten are of the form 3''n'' x 37. All triplets in all bases are multiples of 111 in that base, therefore the number represented by 111 in a particular base is the only triplet that can ever be prime. "111" is not prime in base ten, but is prime in Base Two , where 111 = 7 in Base Ten . It is also prime in these other bases 3 to 100: 3, 5, 6, 8, 12, 14, 15, 17, 20, 21, 24, 27, 33, 38, 41, 50, 54, 57, 59, 62, 66, 69, 71, 75, 77, 78, 80, 89, 90, and 99. 111 is also prime in base 111 (= 1243310). The smallest Magic Square using only prime numbers (and 1) has a magic constant of 111: 31 73 7 13 37 61 67 1 43 A six-by-six Magic Square using the numbers 1 through 36 also has a Magic Constant of 111: 24 16 33 23 10 5 11 15 28 8 13 36 20 14 2 31 25 19 1 18 6 29 27 30 21 22 7 17 32 12 34 26 35 3 4 9 (The square has this magic constant because 1+2+3+...+34+35+36 = 666 , and 666 / 6 = 111). This number is also the Magic Constant of N-Queens Problem for n = 6, an Enneagonal Number and a Harshad Number . 111 is the lowest positive integer requiring six syllables to name in American English , or seven syllables (including "and") in British English . IN OTHER FIELDS The number 111 is sometimes called a "nelson" (particularly as a score in Cricket or Darts ) after Admiral Nelson , who allegedly only had "One Eye, One Arm, One Ball" near the end of his life. (This is sometimes Bowdler ized to say that he lost "One Eye, One Arm, One Life" during his naval career.) A score of 111 or "nelson" is considered an ill omen in cricket, because the figures "111" resemble a Wicket without Bail s (see David Shepherd ). One hundred {Link without Title} eleven is also:
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