a1 Victoria University, School of Mathematics, Statistics and Computer Science, P.O. Box 600, Wellington, New Zealand. E-mail: Rod.Downey@vuw.ac.nz
a2 The University of Auckland, Department of Computer Science, Private Bag 92019, Auckland, New Zealand. E-mail: firstname.lastname@example.org
a3 Dartmouth College, Department of Mathematics, 6188 Bradley Hall, Hanover, NH 03755, USA. E-mail: email@example.com
a4 National University of Singapore, Department of Mathematics, Lower Kent Ridge Road, Singapore 117543, Singapore. E-mail: firstname.lastname@example.org
We prove that there exists a noncomputable c.e. real which is low for weak 2-randomness, a definition of randomness due to Kurtz, and that all reals which are low for weak 2-randomness are low for Martin-Löf randomness.
(Received February 28 2006)