Consecutive Triples with Same Euler Phi value

Sequence

The terms of the following triple of consecutive integers all have the same Euler $\phi$ value:

$5186, 5187, 5188$

No more such triples occur below $10^{13}$.

Examples

$5186$, $5187$ and $5188$

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

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

Sources

• On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008): A001274