Has anyone ever noticed that the odd numbered composites start as "3*Prime" and work up through the other Primes in order? (ex.: 3*3,3*5,3*7,etc.; 5*3,5*5,5*7,etc. and so on.)

$3 \text { is 1st odd prime}$

$5 \text { is 2nd odd prime}$

$7 \text { is 3rd odd prime}$

$9 = 3 * 3 = \text { 1st odd composite } = 3 \times \text {1st odd prime}$

$11 \text { is 4th odd prime}$

$13 \text { is 5th odd prime}$

$15 = 3 * 5 = \text { 2nd odd composite } = 3 \times \text {2nd odd prime}$

$17 \text { is 6th odd prime}$

$19 \text { is 7th odd prime}$

$21 = 3 * 7 = \text { 3rd odd composite } = 3 \times \text {3rd odd prime}$

$23 \text { is 8th odd prime}$

$25 \ne 3 * 11 \implies \text {4th odd composite} \ne 3 \times \text {4th odd prime}$

It falls apart on the fourth example.

Reminds me of the old joke. 3 is prime. 5 is prime. 7 is prime. By induction, 9 is prime.

EDIT: Perhaps the OP was trying to say something different that is valid, but, in that case, I have no clue what he was trying to say.