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order of group of points of secp256k1

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xG ( x of Generator point G) is a carefully selected 256 bit number that is divisible by the elements 0001, 0010, 0011, 0100, 0101, 0110, 0111 (1 to 7) i.e

0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798 =

55066263022277343669578718895168534326250603453777594175500187360389116729240 mod 1, mod 2, mod 3, up to mod 7 will all have the same result = 0

This means that for the elements 1 to 7 that make up the smallest sub-group of order n there exists no residuals that may leak information as a result of operating G under addition or multiplication ( which is successive addition) since all points on the curve must satisfy the same equation y^2=x^3+7 used to construct the smallest subgroup.

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