Find 100 consecutive numbers, none of which are primes.
You
should explain why your 100 numbers are all non-prime.
Explain why no number larger than 3 that is one less than a
power of 4
(i.e. 4^2-1=15, 4^3-1=63, 4^4-1=255, etc.) is prime.
Explain why no
number larger than 5 that is 4 more than a
fourth power
i.e. 2^4+4=20, 3^4+4=85, 4^4+4=260, etc.) is prime.