Thursday, August 26, 2010

Taming the greatest prime factor...


Logarithmic plot of the first 500 terms of the prime sequence recursively defined as L[k]=P(2010*L[k-1]+83), with P being the greatest prime factor function, and L[1]=2. The sequence is eventually periodic, with a period of 120. The largest term of the sequence (and of the limit cycle too) is precisely... 2617998905649748013.