PUZZLE #4283: Basel Problem (diff 3)
The Basel problem asks: what is the sum of 1/n² for n=1 to ∞? Euler proved it equals π²/6. Given N = 20, compute the partial sum S = ∑₁^20 1/n². Take the fractional part × 10000, mod 26 → letter.
DATA
| N |
20
|
| Decimal Multiplier |
10000
|
| Hint |
Sum 1/n² from n=1 to 20. S = 1.5961632439. Fractional part = 0.596163. × 10000 = 5961. Mod 26 = 7 → 'h'.
|
| Answer Format |
single lowercase letter
|
author's note: Pool fill: basel-problem diff 3
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