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Euler function; Fermat primes

References:

[1] R. D. Charmichael: **On the numerical factors of arithmetic forms $\alpha^n ± \beta^n$**. Ann. Math. 15 (1913-1914), 30-70.

[2] F. Luca: **Equations involving arithmetic functions of Fibonacci and Lucas numbers**. Preprint. To appear in Fibo. Quart. MR 1738646 | Zbl 0941.11006

[3] F. Luca: **Pascal's triangle and constructible polygons**. Preprint, Zbl 1006.11004