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 Divisible (Posted on 2011-09-30)
Five single-digit positive integers appear in a sequence.

The sum of the first two is divisible by the second, but not by the first.
The sum of the first three is divisible by the third, but not by the first or the second.
The sum of the first four is divisible by the fourth, but not by the first, second or third.
The sum of the first five is divisible by the fifth, but not by the first, second, third or fourth.

What are the five integers, in order?

 Submitted by Charlie Rating: 4.0000 (3 votes) Solution: (Hide) 8, 4, 6, 3, 1 This originally appeared in New Scientist as Enigma No. 1656, "Five Integers" by Richard England.

 Subject Author Date Answer Math Man 2012-09-19 22:31:07 Solution broll 2011-10-01 09:06:28 answer Dej Mar 2011-10-01 04:47:07 Second effort (spoiler) Steve Herman 2011-10-01 01:10:41 re: Eureka! (spoiler) Charlie 2011-10-01 00:27:24 Eureka! (spoiler) Steve Herman 2011-09-30 20:41:54

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