TY - JOUR
T1 - Prime divisors of palindromes
AU - Banks, William D.
AU - Shparlinski, Igor E.
PY - 2005/11
Y1 - 2005/11
N2 - In this paper, we study some divisibility properties of palindromic numbers in a fixed base g ≥. 2. In particular, if P L denotes the set of palindromes with precisely L digits, we show that for any sufficiently large value of L there exists a palindrome n ∈ P L with at least (log log n) 1+o(1) distinct prime divisors, and there exists a palindrome n ∈ P L with a prime factor of size at least (log n) 2+o(1).
AB - In this paper, we study some divisibility properties of palindromic numbers in a fixed base g ≥. 2. In particular, if P L denotes the set of palindromes with precisely L digits, we show that for any sufficiently large value of L there exists a palindrome n ∈ P L with at least (log log n) 1+o(1) distinct prime divisors, and there exists a palindrome n ∈ P L with a prime factor of size at least (log n) 2+o(1).
UR - http://www.scopus.com/inward/record.url?scp=30844465722&partnerID=8YFLogxK
U2 - 10.1007/s10998-005-0016-6
DO - 10.1007/s10998-005-0016-6
M3 - Article
AN - SCOPUS:30844465722
SN - 0031-5303
VL - 51
SP - 1
EP - 10
JO - Periodica Mathematica Hungarica
JF - Periodica Mathematica Hungarica
IS - 1
ER -