[jacks]

all the seven digits number each of digit 1,2,3,4,5,6,7 exactly once and non divisible by 5. are arranged in ascending order.

Find the 2000th number in the list

[aladan]

Hola

Si no me he equivocado en los cálculos el número es

                            \(  4312756 \)

Spoiler

Números de la forma
\( 1a*****=5(5!-4!)=480: a\neq{5}\quad 15*****=5!=120\rightarrow{1*******=600} \)
\( 2a*****=5(5!-4!)=480: a\neq{5}\quad 25*****=5!=120\rightarrow{2*******=600} \)
\( 3a*****=5(5!-4!)=480: a\neq{5}\quad 35*****=5!=120\rightarrow{3*******=600} \)
\( 41*****=5!-4!=96\quad 42*****=5!-4!=96\\\\ 4312***=3!-2!=4\quad 43125**=2\quad 43126**=1\quad 4312756=1 \)

[cerrar]

Saludos