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The numbers      k ! ±  1 k! \pm 1       for      k = 2 ( 1 ) 100 k = 2(1)100      , and      2 ⋅  3 ⋅  5 ⋯  p ±  1 2 \cdot 3 \cdot 5 \cdots p \pm 1       for      p p       prime,      2 ≦  p ≦  307 2 \leqq p \leqq 307      , were tested for primality. For      k = 2 ( 1 ) 30 k = 2(1)30      , factorizations of      k ! ±  1 k! \pm 1       are given.

Some results for 𝑘!±1 and 2⋅3⋅5⋯𝑝±1