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Nineteenth Exponent Exposition (Posted on 2016-09-06) Difficulty: 3 of 5
The number 5353714662021596247595065017236556037762353639503 is the nineteenth power of a positive integer.

Find the integer using just pen and paper.

No Solution Yet Submitted by K Sengupta    
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Some Thoughts re: An analytic start and a calculator finish Comment 3 of 3 |
(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
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