perplexus.info :: Numbers : From primes to palindrome

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.

See The Solution Submitted by Ady TZIDON

Rating: 5.0000 (3 votes)

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

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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