A $p$-adic supercongruence for truncated hypergeometric series ${}_7F_6$
  Using an identity due to Gessel and Stanton and some properties of the $p$-adic Gamma function, we establish a $p$-adic supercongruence for truncated hypergeometric series ${}_7F_6$. From it we deduce some related supercongruences, which extend certain recent results and confirm a supercongruence conjecture. 
Ji-Cai Liu
math.NT math.CO