It was a genuine mistake. I posted the post very late at night, and I was

tired. The correct version is:

1=1

1+1=2

2=2

1+1+1=3

1+2=3

3=3

1+1+1+1=4

1+1+2=4

1+3=4

2+2=4

4=4

--- and for primes ---

2=2

3=3

2+2=4

2+3=5

5=5

2+2+2=6

3+3=6

2+2+3=7

2+5=7

7=7

The first problem I solved about 5 years ago, I can't fully remember how,

but it reduces to a fairly simple formula, and you can even determine the

number of sums to n with k terms.

Jon Perry

perry@...
http://www.users.globalnet.co.uk/~perry/maths
BrainBench MVP for HTML and JavaScript

http://www.brainbench.com
-----Original Message-----

From: Phil Carmody [mailto:

thefatphil@...]

Sent: 20 April 2002 16:20

To: primenumbers

Subject: Re: [PrimeNumbers] (not spam I promise)

--- Jud McCranie <

jud.mccranie@...> wrote:

> At 02:56 AM 4/20/2002 -0700, Phil Carmody wrote:

> > > 1=1

> > > 1+1=2

> >

> >So 1=1 but not 2=2

> >[...]

> >

> > > 2=2

> >

> >A source of endless inconsistency...

>

> Why not sum{2} = 2, if sum{1} = 1?

That was my whole point, Jud. He was the one who missed it off the

first list, but included it in the second list.

Phil

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