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From primes to palindrome (Posted on 2012-03-24) Difficulty: 2 of 5
The product of the first X primes divided by Y results in a non-trivial (more than a single digit) palindrome number.
Find a solution(or solutions?) for integers X and Y.

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (2 votes)

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Solution No Subject | Comment 2 of 7 |
I felt it logical to exlude Y where Y included the Xth prime factor.

As there was no restriction for the palindrome itself to be an integer, I included the result 57.75 as a solution.

The following lists only solutions where X < 9:

(X,    Y) :   X#/Y
(5,  210) :     11
(5,  105) :     22
(5,   70) :     33
(5,   42) :     55
(5,   40) :     57.75
(5,   35) :     66
(5,   30) :     77
(6,   35) :    858
(6,   30) :   1001
(6,   15) :   2002
(6,   10) :   3003
(6,    6) :   5005
(6,    5) :   6006
(7,  858) :    595
(8,30030) :    323
(8,19635) :    494
(8,15015) :    646
(8,10010) :    969
(8, 2730) :   3553
(8, 1105) :   8778
(8,   30) : 323323
(8,   15) : 646646
(8,   10) : 969969

 

Edited on March 25, 2012, 2:30 am
  Posted by Dej Mar on 2012-03-24 12:28:59

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