A118937 Sub-Kaprekar numbers (1): n such that n=q-r and n^2=q*10^m+r, for some m>=1, q>=0, 0<=r<10^m, with n not a power of 10.

11, 101, 1001, 1078, 1287, 1364, 10001, 11096, 100001, 118183, 1000001, 1336634, 10000001, 12727274, 100000001, 123529412, 1000000001, 1019138757, 1025974026, 1097744361, 1120879122, 1140017878, 1165991904, 1237762239, 1288553552

Offset: 1

Author

Giovanni Resta, May 06 2006

Keywords

• base
• nonn

Examples

			1287^2 = 1656369 and 1656-369 = 1287.
A larger example: 1594563333^2 = 2542632222948068889 and
2542632222-948068889=1594563333.
		

Crossrefs

Cf. A006886, A118936, A118938.