How long would it take with our current technology, to send a Colony to a second earth like planet (Poxima b)?

Light speed in miles
186,282 miles per second
430,000 miles per hour (430,000 Miles per hour = 119.44 Miles per second)
Proxima b is 4.243 light years away

(*6,300 years?)

How many generations of people born in space to reach the planet.
(*120?)