The problem was to solve a Diffie-Hellman problem modulo the prime p, where

p = 2*739*q+1, and q=(7^{149}-1)/6.

I tell you that there exist integer x and y such that

7^{x} =
127402180119973946824269244334322849749382042586931621654557735290322914679095998681860978813046595166455458144280588076766033781
(mod p)

7^{y} = 180162285287453102444782834836799895015967046695346697313025121734059953772058475958176910625380692101651848662362137934026803049
(mod p)

The problem is to compute 7^{xy} (mod p).

The solution provided by Weber and Denny is to supply x, which is:

It is interesting to consider what lessons can be learned from such an achievment:

- At the time that I first proposed the Diffie-Hellman challenge, microprocessor power was increasing rapidly, but it was pretty clear that this alone offered little threat to the security of systems because it was following a relatively predictable course of Moore's law as described in 1965. A new technological breakthrough in something like quantum computing might have changed things, but we have yet to see such a breakthrough.
- At the time that I first proposed the Diffie-Hellman challenge, the
number field sieve was unknown. Protecting against unknown algorithmic
advances is chancy at best, since it requires us to forecast something
we cannot possibly know. As it turned out, I chose a prime that was
relatively amenable to breaking by the number field sieve. I did this to
allow for an easy construction of a prime using the Cunningham tables of
factorization of numbers of the form a
^{n}-1. The same convenience that allowed me to easily derive the primality of the system parameter was what led to the weakness against the number field sieve! - Design of real-world cryptographic systems is largely a matter of educated guesswork in the presence of human ignorance. It reaffirms the need for further study to discover constructions with mathematically rigorous notions of security.
- There are easier ways to make $100, but if these keys had been deployed to protect monetary value in excess of $100, then the level of effort might have been more easily justified. Weber and Denny pursued their prize for the sake of pure scientific achievement, but it is wise to remember that real adversaries in this world have other goals in mind.

ps. The author claims an exemption from the minimum wage in offering this reward.