A262433 Quater-imaginary representation of the Gaussian primes with an even imaginary part.
3, 11, 13, 21, 31, 101, 111, 113, 123, 133, 201, 211, 213, 223, 233, 301, 321, 323, 331, 1003, 1011, 1021, 1031, 1033, 1101, 1113, 1123, 1131, 1133, 1201, 1203, 1213, 1223, 1231, 1233, 1311, 1321, 1323, 2001, 2011, 2031, 2033, 2103, 2113, 2131, 2133, 2203
Offset: 1
Examples
1231_(2i) = 1(2i)^3 + 2(2i)^2 + 3(2i)^1 + 1(2i)^0 = -7-2i which is a Gaussian prime.
Links
- Donald Knuth, An imaginary number system, Communications of the ACM 3 (4), April 1960, pp. 245-247.
- OEIS Wiki, Quater-imaginary base
- OEIS Wiki, Gaussian primes
- Wikipedia, Quater-imaginary base
Comments