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.**