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From Wikipedia, the free encyclopedia

118 (one hundred [and] eighteen) is the natural number following 117 and preceding 119.

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Transcription

Contents

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, ... 4n/3 contains at least one prime from each of these forms: 4x + 1, 4x - 1, 6x + 1 and 6x - 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.[1]

In telephony

In other fields

One hundred and eighteen is also:

In dates

  • 118 can also represent the day January 18. The 118th day of the year is April 28, on regular years. On leap years it is April 27.

See also

References

This page was last edited on 28 July 2019, at 03:58
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