In his work with the partition function, Ramanujan observed several congruences of the form p(An + B) = 0 (mod m). We adapt this form to several congruences of the distinct partition function, p2(n). We show that one can determine all ordered pairs of integers (A;B) for which p2(An + B)=0 (mod 2) and show families of congruences modulo 4. Finally, we offer a proof of a congruence modulo 5 satisfied by the distinct partition function.
Blumenfeld, Ian; Carlstead, Christi; Cukier, Mimi; and Terway, Wesley, "Ramanujan-Like Congreuences of the Distinct Partition Function" (2000). Mathematical Sciences Technical Reports (MSTR). 106.