2 problems

Two-term supercongruence conjecture. For all primes $p\geq 5$ and all integers $m,r\geq 1$,

Let … and … with $s_{18}(0)=1$. Cooper's conjecture. For every prime $p\geqslant3$, … and, for every prime $p$, … These congruences are sporadic-sequence analogues of known congrue…