Non-Prime Numbers – Fascinating Fact

One of last week’s Brain Teasers asked if you could find five consecutive numbers, none of which is prime*.    (We call such numbers [other than 1] composite.)   This isn’t too hard, if you look:  The first such string occurs at 24, 25, 26, 27, and 28.  Another starts at 32, and another at 48, . . .

If you’re curious about these things, you might wonder:  Could you find 6 straight composites?  How about 10?  20?  Or, as a middle schooler might ask, ‘Can you find a million??  What would be the largest string you could find?  For the fascinating answer to these questions, and an even-more-surprising result, see Consecutive Composites.

 

* Recall:  A prime is a number [other than 1]  which is divisible only by itself and 1.  Examples:  2,3,5, . . . 41, 43, . . . 101, 103, . . . ad infinitum.