Generalized Smarandache Palindromes
edited by George Gregory
A Generalized Smarandache Palindrome is a number of the form:
where all a1, a2, ..., an are positive
integers of various number of digits.
a) 1235656312 is a GSP
because we can group it as (12)(3)(56)(56)(3)(12),
Of course, any integer can be consider a GSP because we may consider
the entire number as equal to a1, which is smarandachely
say N=176293 is GSP because we may take a1 = 176293 and thus
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
and the Prime Curios site).
How many other GSP are in the above sequence?