A371307 The smallest nonpalindromic number in base n that shares the same prime divisors as its digit reversal in base n.

135, 32, 8, 8, 245, 12, 16, 16, 1089, 15, 72, 24, 468, 28, 32, 32, 108, 24, 48, 40, 98, 44, 144, 39, 1800, 52, 392, 35, 27869, 60, 64, 64, 45, 68, 216, 72, 162, 76, 400, 48, 75809, 48, 968, 88, 4590, 92, 288, 60, 238, 100, 1352, 104, 242, 63, 120, 112, 143370, 72, 1800, 120, 640, 124, 105

Offset: 2

Author

Scott R. Shannon, May 03 2024

Keywords

• nonn
• base

Comments

The largest value in the first 500 terms is a(478) = 109443357.

Examples

			a(2) = 135 as 135 = 3^3 * 5 = 10000111_2 whose digit reversal is 11100001_2 = 225 = 3^2 * 5^2, both of which have 3 and 5 as prime divisors.
a(10) = 1089 as 1089 = 3^2 * 11^2 whose digit reversal is 9801 = 3^4 * 11^2, both of which have 3 and 11 as prime divisors. See also A110819.
a(14) = 468 as 468 = 2^2 * 3^2 * 13 = 256_14 whose digit reversal is 652_14 = 1248 = 2^5 * 3 * 13, both of which have 2, 3, and 13 as prime divisors.
		

Links

• Scott R. Shannon, Table of n, a(n) for n = 2..500

Crossrefs

Cf. A110819, A372488, A372384, A027746.