The mth prime 
is classified as “good” if 
for 
. For example, 5 is a good prime because 
is greater than 
and 
, but 7 is not because 
.
is classified as “good” if for . For example, 5 is a good prime because is greater than and , but 7 is not because . Write a function to list the first n good primes.
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In the description, k>=1
Thanks--fixed.
Why is 2 not a good prime? With m = 1, it trivially holds that p_m^2 > p_{m-k} p_{m+k} for all 1 \le k \le m-1 since this is in fact an empty statement then.
It's not included in the lists I've seen probably because there is no zeroth prime.