[Turskarama]

Almost certainly, when you scale nuclear weapons to the energy of the atmosphere in general they become irrelevant.

The earth receives about 1.74x10^17 watts from the sun, continuously. On Tsar Bomba released a little over 200PJ, setting off one per day would be around 2.3x10^12 watts.

In other words to equal the energy from the sun you would need to detonate on the order of 1 MILLION Tsar Bombas per day.