Geodesic
Primes in classes of the iterated totient function
Journal of integer sequences, Tome 11 (2008) no. 1
Zbl   EuDML
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 
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/
@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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