The last year before I was born which was a prime number was 1951. There was a long gap then until 1973. So far I have lived through seven years which were prime numbers:

1973, 1979, 1987, 1993, 1997, 1999 and 2003.

There was an unusual concentration between 1987 and 2003, five in seventeen years. The next few are in general more widely spaced (apart from one pairing in the late 2020s): 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069 and another big gap to 2081, which very few of us will see. I have probably lived through the majority of the prime number years of my lifetime; another seven takes me to 2063 when I will be 96.