313702

This number is a composite.

Least number k such that all integers between 10*k and 10*k + 9 contain three-digit prime factor(s):

3137020 = 109 * 2^2 * 5 * 1439,
3137021 = 839 * 3739,
3137022 = 193 * 2 * 3^3 * 7 * 43,
3137023 = 401 * 7823,
3137024 = 557 * 2^9 * 11,
3137025 = 151 * 277 * 3 * 5^2,
3137026 = 107^2 * 137 * 2,
3137027 = 127 * 17 * 1453,
3137028 = 197 * 2^2 * 3 * 1327, and
3137029 = 877 * 7 * 7 * 73. [Ikemoto]