Palindromic Num3ers w/ Distinct Prime Factors

Palindromes in base 10
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 363, 373, 383, 393, 404, 414, 424, 434, 444, 454, 464, 474, 484, 494, 505, 515, …

List of first 19999 palindromes:   http://oeis.org/A002113/b002113.txt

Here’s a list of the smallest palindromes with exactly n distinct prime factors
http://oeis.org/A046399

n      Palindrome                     Factors
1       2 =                                      2
2       6 =                                      2*3
3       66 =                                    2*3*11
4       858 =                                  2*3*11*13
5       6006 =                               2*3*7*11*13
6       222222 =                           2*3*7*11*13*37
7       22444422 =                       2*3*7*11*13*37*101
8      244868442 =                      2*3*7*13*17*23*31*37
9      6434774346 =                    2*3*7*11*13*17*19*31*107
10    438024420834 =              2*3*7*11*13*17*19*43*59*89
11     50146955964105 =          3*5*7*11*13*17*19*37*43*67*97
12    2415957997595142 =        2*3*7*11*13*17*23*29*31*37*157*197
13    495677121121776594 =      2*3*7*11*13*17*23*31*43*71*73*137*223

14  ?

15 ?

16 ?

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About benvitalis

math grad - Interest: Number theory
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