Geodesic
Primes in classes of the iterated totient function
Journal of integer sequences, Tome 11 (2008) no. 1
As shown by Shapiro, the iterated totient function separates integers into classes having three sections. After summarizing some previous results about the iterated totient function, we prove five theorems about primes $p$ in a class and the factorization of $p-1$. An application of one theorem is the calculation of the smallest number in classes up to 1000.
Classification : 11A25
Keywords: Euler function, iteration, class number 
@article{JIS_2008__11_1_a1,
     author = {Noe,  Tony D.},
     title = {Primes in classes of the iterated totient function},
     journal = {Journal of integer sequences},
     year = {2008},
     volume = {11},
     number = {1},
     zbl = {1146.11002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2008__11_1_a1/}
}
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Noe,  Tony D. Primes in classes of the iterated totient function. Journal of integer sequences, Tome 11 (2008) no. 1. http://geodesic.mathdoc.fr/item/JIS_2008__11_1_a1/