Power Digit Sum ¶

Since Python/SageMath support integers of arbitrary size, this problem is pretty straightforward. Just compute $2^{1000}$ directly and sum the digits up.

In [1]:

n = 2 ^ 1000
total = 0
while n != 0:
    total += n % 10
    n //= 10

print(total)

Relevant sequences¶

Sums of digits of $2^n$: A001370

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