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.

Submitted by Ady TZIDON

Rating: 5.0000 (3 votes)

Solution: (Hide)

Jer: To find X and Y for a given number just factor the number. X is the number of primes up to the largest factor. Y is the product of the missing primes. For example 66 = 2*3*11 The primes up to 11 are 2,3,5,7,11 so there are X=5 primes, the missing ones are 5 and 7 so Y=35. see also CHARLIE'S & DejMar's posts.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
All solutions	Jer	2012-03-24 22:49:03
Really great solution	Math Man	2012-03-24 17:39:28
computer solutions	Charlie	2012-03-24 14:25:48
re: No Subject	Ady TZIDON	2012-03-24 12:34:37
re: A few obvious solutions (spoiler)- get 1 more	Ady TZIDON	2012-03-24 12:30:31
No Subject	Dej Mar	2012-03-24 12:28:59
A few obvious solutions (spoiler)	Steve Herman	2012-03-24 10:21:27

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