In this note, we will prove two congruences involving broken 3-diamond partitions and broken 5-diamond partitions. The two congruences were conjectured by Peter Paule and Silviu Radu in 2009.
"Two congruences involving Andrews-Paule’s broken 3-diamond partitions and 5-diamond partitions." Proc. Japan Acad. Ser. A Math. Sci. 87 (5) 65 - 68, May 2011. https://doi.org/10.3792/pjaa.87.65