I think this still seems trivial with a 5th grade algebra knowledge.
Additionally, for the 4k+1 / 4k-1 topic, it is just a complicated way of saying 2k+1 (as parent suggested).
Additionally, for the 4k+1 / 4k-1 topic, it is just a complicated way of saying 2k+1 (as parent suggested).
As well, i think the 2k+1 thing is drastically more trivial and not at all equivalent being that all you need to know for 2k+1 is that 2k+1=odd. 4k and especially 6k take a larger generalization and different analytical method and often aren't included in the definition of the primes we learn like 2k+1 (odd) is.