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PrimeProductsPlusOne on Permutation ​

Positions i with i * p(i) + 1 prime.

On Permutation

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

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Distribution

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FindStat St001288

The number of primes obtained by multiplying preimage and image of a permutation and adding one.

ObjectValue
[1]1
[1,2]2
[2,1]2
[1,2,3]2
[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/St001288 has the rest.