Copyright © University of Cambridge. All rights reserved.

'Helen's Conjecture' printed from

Show menu

Helen made the conjecture that "every multiple of six has more factors than the two numbers either side of it". Is this conjecture true?

For example, the third multiple of 6 is 18 which has six factors (counting 1 and 18), while 17 and 19, the numbers on each side of it, have two each being prime.