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 From primes to palindrome (Posted on 2012-03-24)
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.

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 A few obvious solutions (spoiler) | Comment 1 of 7
Well, the first 5 primes are 2, 3, 5, 7, and 11.  And 11 is a non-trivial palindrome.

So, 11 is the product of the first 5 primes divided by 210

Also,
22 is the product of the first 5 primes divided by 105
33 is the product of the first 5 primes divided by 70
55 is the product of the first 5 primes divided by 42
66 is the product of the first 5 primes divided by 35
77 is the product of the first 5 primes divided by 30

So, these are 6 obvious solutions.  It looks to me like X = 5, Y = 30 might be the smallest Y value for the smallest X value

 Posted by Steve Herman on 2012-03-24 10:21:27

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