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PrimeColumnSums on Permutation ​

Positions i with i + p(i) prime.

On Permutation

Called as CombinatorialStat(x, "PrimeColumnSums"). The head's page has its examples.

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FindStat St001285

The number of primes in the column sums of the two line notation of a permutation.

ObjectValue
[1]1
[1,2]1
[2,1]2
[1,2,3]1
[1,3,2]3
[2,1,3]2
[2,3,1]2
[3,1,2]2

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001285 has the rest.