My 72nd birthday falls on Thanksgiving Day this year, as it does every six or so. I have taken to celebrating all week, along with everyone else. This year is particularly interesting from a mathematical POV. Its prime decomposition is
72 = 8*9 = 23 x 32,
a pattern that won't occur again in my lifetime, at least if m,n > 1 and prime. The next candidate would be
25 x 52 = 32 x 25 = 800.
Moreover, this birthday comes between two twin primes (71 and 73), so we have a nice series of interesting birthdays before we hit the doldrums at 74.
72 = 8*9 = 23 x 32,
a pattern that won't occur again in my lifetime, at least if m,n > 1 and prime. The next candidate would be
25 x 52 = 32 x 25 = 800.
Moreover, this birthday comes between two twin primes (71 and 73), so we have a nice series of interesting birthdays before we hit the doldrums at 74.
