# A payment or a curse

I'm a payment.
Or a curse.
I'm gold.
Or the second corner.

What am I?

Hints

If you give me something in its prime, I will give you all but one back.

• The hint makes me think of the Euler totient function, though I don't think that fits any of the actual clues. – DylanSp May 18 '16 at 16:06

$\phi$

I'm a payment.

$\phi$ is pronounced "fee" and a fee is a payment.

Or a curse.

Referring to the archaic word "fie" (sometimes how $\phi$ is pronounced) used to express disapproval.

I'm gold.

$\phi$ is the golden ratio

Or the second corner.

Usually, in geometry, the second Greek letter used to represent an angle, after $\theta$, is $\phi$.

Hint

Euler's totient function $\phi$ applied to a prime number $p$ gives $p-1$

• This has to be right, but I've never heard of your answer being pronounced the way you claim in the second clue. Is it just in the UK (where I'm from) where it is different? – Scoranio May 18 '16 at 16:19
• @Scoranio As far as I'm aware, Greek people pronounce it "fee" where there is a prevalence among mathematics teachers in some English speaking countries to pronounce it "fy". There might be somebody else here with better knowledge than me though. – hexomino May 18 '16 at 16:22
• Here in Canada, I've always heard it pronounced the second way, never the first. – Business Cat May 18 '16 at 17:01
• You are correct! Good job! – AMACB May 18 '16 at 17:29

Is it a

Debt?

I'm a payment.

You repay the debt

Or a curse.

In the bible a debt is a curse.

I'm gold.

A debt can be payed in Gold.

Still have to figure out the last line.

• Nope! Good try though. – AMACB May 18 '16 at 14:47

Just a guess but Is it a

Reminder

I'm a payment

Payment reminder

or a curse.

Reminded to pay overdue

I'm gold.

??

or a second corner

??