perplexus.info :: Just Math : Deux Digit Deduction II

Deux Digit Deduction II (Posted on 2015-03-12)

M denotes the duodecimal (base 12) number 12.

N= M^M, P = N^N and Q = P^P

Find the respective last two digits of P and Q.

*** For an extra challenge, solve this puzzle by using a non-computer program assisted method.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

last two digits in base 12

| Comment 2 of 4 |

5 open "deuxded2.txt" for output as #2

10 M=14

20 N=modpow(M,M,144)

30 P=modpow(N,N,144)

40 Q=modpow(P,P,144)

50 print #2,"p: ";P\12;P @ 12

60 print #2,"q: ";Q\12;Q @ 12

70 close #2

finds

p: 1 4

q: 1 4

so the last two digits of each of the base-12 numbers p and q are "14".

Posted by Charlie on 2015-03-12 10:56:05

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