Assuming a lifespan of 80 years, in what years of the 20th and 21st centuries (1900-1999), (2000-2099) would you have to be born to have the maximum number of prime birthdays in a prime year?
In what years of the same time spans would you have to be born to have the minimum number of prime birthdays in a prime year?
You may assume that people born on Feb. 29 in a leap year still celebrate their birthdays each following year.
A person have to be born in 2070 to have the maximum number(12) of prime birthdays in a prime year.
The detais are:
2070 born
2081 11
2083 13
2087 17
2089 19
2099 29
2111 41
2113 43
2129 59
2131 61
2137 67
2141 71
2143 73
The minimum is zero, as anyone born in an odd year that's not two years before a prime year will always have his prime ages in even years, except for the second birthday, which in the cases considered is not prime.
Edited on October 28, 2023, 10:48 am
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