| 163 (number) |
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Information About163 (number) |
163 is a Strong Prime in the sense that it is greater than the arithmetic mean of its two neighboring primes. 163 is a Lucky Prime . Given 163, the Mertens Function returns 0. 163 figures in an approximation of π, in which . 163 is a Strictly Non-palindromic Number . <MATH>\SQRT{163}</MATH> The Square Root of 163 occurs in several interesting pieces of mathematics. 163 is a Heegner Number . That is, the Ring Of Integers of the field has unique factorization for . The only other such integers are . The function gives prime values for all values of between 0 and 39, and for approximately half of all values are prime. 163 appears as a result of solving , which gives . appears in the Ramanujan Constant , in which almost equals the integer 262537412640768744. Martin Gardner famously asserted that this identity was exact in a 1975 April Fools' hoax in Scientific American ; in fact the value is 262537412640768743.99999999999925007259... OTHER OCCURRENCES One hundred sixty-three is also:
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