The number 5353714662021596247595065017236556037762353639503 is the nineteenth power of a positive integer.

Find the integer using just pen and paper.

(In reply to An analytic start and a calculator finish by Charlie)

All  I know without calculator :

1. N is a 3-digit number,  between 300 and 400.

2. The units digit of N  is 7 (7931 being the cycle, 3 is in 19th place)

So the number   is  3?7 -      to find  "?"  - few calculators trials.

... Who called it a p&p problem?

Posted by Ady TZIDON on 2016-09-06 16:35:52