Consecutive Triples with Same Euler Phi value/Examples/5186

Example of Consecutive Triples with Same Euler Phi value

$5186$, $5187$ and $5188$ all have the same Euler $\phi$ value:

$\map \phi {5186} = \map \phi {5187} = \map \phi {5188} = 2592 = 2^5 \times 3^4$

Proof

From Euler Phi Function of 5186:

$\map \phi {5186} = 2592$

From Euler Phi Function of 5187:

$\map \phi {5187} = 2592$

From Euler Phi Function of 5188:

$\map \phi {5188} = 2592$

$\blacksquare$

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $5186$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $5186$