tag:blogger.com,1999:blog-1050326564532544980.post324634000058916975..comments2024-10-15T00:19:20.511-04:00Comments on NumberADay: 137Mathematical Association of Americahttp://www.blogger.com/profile/10559021045290192742noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-1050326564532544980.post-34803476378030859452010-07-19T12:30:20.107-04:002010-07-19T12:30:20.107-04:00Other properties of the number 137:
137 is sum of ...Other properties of the number 137:<br />137 is sum of five consecutive primes 83+89+97 = 131+137<br />137 index of a Fibonacci primes, <br />A001605<br />137 is a cousin of Eisensteins to be of the form 3*46-1, A003627<br />137 is a cousin of Fermat because that 137 =4*34+1.It is also a Gaussian integer<br />137 is the 5th harmonic number, Hn = Sum[1/k,k,1,infinity]=1,3/2,11/6,25/12,137/60<br />137 is a primal number can be obtained by permutations of all or some of its digits, and http://primes.utm.edu/glossary <br />A072857<br />137 is the 4th number of Stern, <br />A042978<br />137 is the value of the number called the fine structure constant. This constant describes the probability of an electron will emit or absorb a photon.<br />Curiosity: 137^2=18769,133^2 = 17 689, 281^2 =78961 and 286^2=81796, four squares with the same digits in the solution.<br />Rafael Parra de BarcelonaAnonymousnoreply@blogger.com