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118 (one hundred () eighteen) is the natural number following 117 and preceding 119. ==In mathematics== There is no answer to the equation φ(x) = 118, making 118 a nontotient. 118 is the smallest ''n'' such that the range ''n'', ''n'' + 1, ... 4''n''/3 contains at least one prime from each of these forms: 4''x'' + 1, 4''x'' - 1, 6''x'' + 1 and 6''x'' - 1. Four expressions for 118 as the sum of three positive integers have the same product: :14 + 50 + 54 = 15 + 40 + 63 = 18 + 30 + 70 = 21 + 25 + 72 = 118 and :14 × 50 × 54 = 15 × 40 × 63 = 18 × 30 × 70 = 21 × 25 × 72 = 37800. 118 is the smallest number that can be expressed as four sums with the same product in this way.〔Wells, D. ''The Penguin Dictionary of Curious and Interesting Numbers'' London: Penguin Group. (1987): 134 - 135〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「118 (number)」の詳細全文を読む スポンサード リンク
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