We define a variant of the Miller-Rabin primality test, which is in between
Miller-Rabin and Fermat in terms of strength. We show that this test has
infinitely many "Carmichael" numbers. We show that the test can also be thought
of as a variant of the Solovay-Strassen test. We explore the growth of the
test's "Carmichael" numbers, giving some empirical results and a discussion of
one particularly strong pattern which appears in the results.Comment: 17 pages (21 with appendix