Sunday Times Teaser 2511 – No Title
by Danny Roth
Published November 7 2010 (link)
I have a collection of silver medallions, each of which weighs an exact whole number of grams. If I take pairs of them in every possible combination, I can weigh out an almost complete sequence of 16 consecutive weights, with only two weights, 100 grams and 101 grams, missing from the sequence. Even so, I can still manage an unbroken sequence of 13 weights, with only one of them, a prime number of grams, duplicated.
What, in ascending order, are the weights in grams of my medallions?