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God proves Himself in His own way, e.g. in fulfilling prophesy. He does not comply with man's demands for proof:

FWIW, God does give us proof of his existence in nature.

Romans 1:20 For since the creation of the world His invisible attributes are clearly seen...

As our scientific knowledge has increased the evidence of God's existence is more and more clear.

Indeed, dear wmfights.

God the Father has revealed Himself in four ways: 1) through the Person of Jesus Christ, His only begotten Son, 2) through the indwelling Spirit, 3) through Scripture and 4) through Creation, both spiritual and physical.

The heavens declare the glory of God; and the firmament sheweth his handywork. Day unto day uttereth speech, and night unto night sheweth knowledge. [There is] no speech nor language, [where] their voice is not heard. – Psalms 19:1-3

And I agree that the hand of God is obvious in scientific observations. Moreover, I aver that the "unreasonable effectiveness of math" [Wigner] is science exhibit #1.

But science will not recognize this because under "methodological naturalism" it excludes God on principle. This means it accepts that science cannot "measure" God and thus cannot say whether or not He exists; and then proceeds with the assumption that nature is knowable and predictable and therefore, whatever the explanation for a thing is, it will be natural, or material, or physical.

Likewise the "historical critical method" of reading Scripture excludes the power of God on principle.

But here I am addressing specific demands for proof of God. God does not honor such demands, e.g. the demand of the atheist on the forum that if God would give her a bag of M&M's she'd believe He exists.

Man is not measure of God.