What years were silver certificate 5 dollar and 10 dollar bills made?

$5 silver certificates were printed with the dates 1886, 1891, 1896, 1899, 1923, 1934, and 1953.

$10 silver certificates were printed with the dates 1878, 1880, 1886, 1891, 1908, 1933, 1934, and 1953.

However those are what are called "series" dates; printing actually went on during many intervening years but the series date wasn't changed.