Distribution of nonces and hashes

Nonce values vs. hashes for all the valid blocks in the blockchain:

Nonces vs Hashes (y-axis logarithmic, x-axis linear)

This plot readily shows that the distribution of nonces that produce valid hashes is uniform.

Nonces vs Hashes (log-log scale)

In the animated version of this last plot, you can really visualize the change in the difficulty and even see where the difficulty was decreased.

References

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