#70 Powerful years
Set by Colin Beveridge
Mathematician Augustus de Morgan turned n years old in the year n2. Given that he died in 1871, when was he born?
Young Carrie turned a square number of years old this year (2025). She wasn鈥檛 born in a square number year, but her age will be a power of 2 in the next year that is also a power of 2. When was she born?
When was the last time someone born in a square year would reach a square age in a different square year?
Solution next week
#69 Backward drops
Solution
The next drop is after 19, which is followed by 2.
In the first 100 terms, the biggest drop is 99 followed by 1, a drop of 98.
Drop sizes in the first 1000 terms are 8, 89, 98, 890, 989 and 998.
Quick quiz #299
set by Corryn Wetzel
1 What type of cloud is associated with severe thunderstorms?
2 How many moons was Saturn recently discovered to have?
3 What was the first vegetable grown in space?
4 Which plant hormone plays a key role in fruit ripening?
5 Which species went extinct in 2000 after a tree fell on its last living member?
Quick quiz #299
Answers
1 Cumulonimbus
2 274
3 Potato
4 Ethylene
5 Pyrenean ibex (Capra pyrenaica pyrenaica)