In Mathematics
113 is the 30th prime number, following 109 and preceding 127, a Sophie Germain prime, a Chen prime and a Proth prime as it is a prime number of the form 7 × 24 + 1. 113 is an Eisenstein prime with no imaginary part and real part of the form . In base 10, this prime is a primeval number, and a permutable prime with 131 and 311.
It is a highly cototient number and a centered square number. 355/113 approximates pi to six decimal places, with an error of less than 1/1133. This means that 113/355 approximates the reciprocal of pi.
Read more about this topic: 113 (number)
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“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
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