150 (number)

150 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150 150 (one hundred [and] fifty) is the natural number following 149 and preceding 151. In mathematics 150 is the sum of eight consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31). Given 150, the Mertens function returns 0.Sloane's A028442 : Numbers n such that Mertens' function is zero https://oeis.org/A028442 The On-Line Encyclopedia of Integer Sequences OEIS Foundation 2016-05-28 150 is conjectured to be the only minimal difference greater than 1 of any increasing arithmetic progression of n primes (in this case, n = 7) that is not a primorial (a product of the first m primes).Sloane's A123556: Minimal difference of any increasing arithmetic progression of n primes. https://oeis.org/A033188 The On-Line Encyclopedia of Integer Sequences OEIS Foundation 2021-06-30 The sum of Euler's totient function φ(x) over the first twenty-two integers is 150. 150 is a Harshad number and an abundant number. 150 degrees is the measure of the internal angle of a regular dodecagon. is the largest known generalized Fermat prime with even base less than 1000.http://www.noprimeleftbehind.net/crus/GFN-primes.htm Generalized Fermat primes for bases up to 1030 noprimeleftbehind.net 7 April 2018 In other fields 150 is also: The number of degrees in the quincunx astrological aspect explored by Johannes Kepler. The approximate value for Dunbar's number, a theoretical value with implications in sociology and anthropology. It is actually 148. References 1 Category:Integers