Generalized Smarandache Palindromes                             edited by George Gregory        A Generalized Smarandache Palindrome is a number of the form:      a1a2...anan...a2a1  or  a1a2...an-1anan-1...a2a1      where all a1, a2, ..., an are positive integers of various number of digits.       Examples:      a)  1235656312 is a GSP because we can group it as (12)(3)(56)(56)(3)(12),            i.e. ABCCBA. b)      Of course, any integer can be consider a GSP because we may consider the entire number as equal to a1, which is smarandachely palindromic; say N=176293 is GSP because we may take a1 = 176293 and thus N=a1.   But one disregards this trivial case.        Very interesting GSP are formed from smarandacheian sequences.      Let's consider this one: 11, 1221, 123321, ..., 123456789987654321,      1234567891010987654321, 12345678910111110987654321, ...      all of them are GSP.        It has been proven that 1234567891010987654321 is a prime      (see http://www.kottke.org/notes/0103.html, and the Prime Curios site).        A question:      How many other GSP are in the above sequence?