Explain this science joke?

Question: A physicist, a mathematician, and an engineer are sitting around and one of them says "It says here that Professor X has come up with a new theorem that all odd numbers greater than 2 are prime". Each person present thinks to himself: Mathematician: 3 is prime, 5 is prime, 7 is prime, the rest follows by Mathematical induction. Physicist: 3 is prime, 5 is prime, 7 is prime, 9 is an experimental error, 11 is prime... Engineer: 3 is prime, 5 is prime, 7 is prime, 9 is approximately prime, 11 is prime, 13 is prime ... Mechanical engineer: 3 is prime, 4 is prime, 5 is prime, 6 is prime... Computer engineer: 3 is prime, 5 is prime, 7 is prime, 7 is prime, 7 is prime... I didn't get the part about Mechanical Engineers; why does the Mechanical Engineer just ignore theory and go 3,4,5,6? If you think theres something about the other part of the joke (eg the computer engineer falling into the infinite loop), please explain.

Answer: ROFL. Great joke. Yes, I'd say it's implying that the mechanical engineer isn't the sharpest tool in the toolshed. === I hurried to send it to some friends and family, and I noticed that the last 2 engineers aren't mentioned in the first paragraph. So, for my friends I changed that paragraph to "some engineers" instead of "an engineer". We must, of course, make allowances for me, as I'm a retired editor...

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