k
p:{:[~x!2;:2_&{&/x!'2_!x}'!:x;1;x,:2_&{&/x!'2_!x}'!:x;]}
{*/_(p x)^_(_log x)%_log p x} 20
232792560
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k
p:{:[~x!2;:2_&{&/x!'2_!x}'!:x;1;x,:2_&{&/x!'2_!x}'!:x;]}
{*/_(p x)^_(_log x)%_log p x} 20
232792560