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Can you tell me why doing scalar multiplication of a point on a Elliptic curve over a finite field gets to a...

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2 1 $begingroup$ I am reading Programming Bitcoin. The author said: Another property of scalar multiplication is that at a certain multiple, we get to the point at infinity (remember, the point at infinity is the additive identity or $0$ ). If we imagine a point $G$ and scalar-multiply until we get the point at infinity. He doesn't explain why. So I don't understand why. I would like you to give me a plain explanation, without a serious mathematical proof, if that could be possible. elliptic-curves cryptocurrency share | improve this question edited yesterday Maarten Bodewes ♦ ...