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MATHEMATICA
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lst={}; Do[Do[p=5^(5^n)-k; If[PrimeQ[p], AppendTo[lst, k]; Break[]], {k, 2, 11!}], {n, 7}]; lst
Table[k=1; Monitor[Parallelize[While[True, If[PrimeQ[5^(5^n)-k], Break[]]; k++]; k], k], {n, 1, 7}]
y[n_] := Module[{x = 5^(5^n)}, x - NextPrime[x, -1]]; Array[y, 7]
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