What are the seven consecutive composite numbers from one to hundred?

Answer 1

We're not sure exactly what the question is looking for, so I made up

my own, and it leads to a fascinating investigation. I hope this is actually

what the questioner has in mind.

The question seems to be asking: "Find seven consecutive numbers that are

all composite."

I did a quick investigation, and found some neat stuff. I sure hope my method was valid.

-- There actually is a string of seven composite numbers less than 100.

They are: 90, 91, 92, 93, 94, 95, 96.

-- There are seven strings of five consecutive composite numbers, all less than 100.

-- The next series of seven consecutive composites doesn't occur until 360-366.

But on the way there, there are five strings of 9 composites, two strings of 11 composites,

and three strings of 13 composites.

-- There are no series of an even number of consecutive composites, at least

not up to 200,000 . Wonder why that is.

-- The string of 19 consecutive numbers from 888 to 906 are all composite.

-- Up to 200,000, the grand-daddy is the range from 155,922 to 156,006 ...

a series of 85 consecutive integers that are all composite.