Alice wants to initate a DiffieHellman key exchange with Bob.
Alice: Hey Bob, let's do DHKE in F_p^* with p = 1267650600228229401496703205653 and g = 2 Alice: Here is my public key A = 511914698987694613016588170978 Alice: Hey Bob, let's do DHKE in F_p^* with p = 1267650600228229401496703205653 and g = 2 Alice: Here is my public key A = 511914698987694613016588170978 
Bob responds by doing the following computations
Bob: OK Alice. Here's my B = 90060289719309095781948621 Bob: I have computed our shared key K. Bob: OK Alice. Here's my B = 90060289719309095781948621 Bob: I have computed our shared key K. 
Alice now also computes K
Alice: Thanks, Bob. Alice: Thanks, Bob. 
Do Alice and Bob have the same K? True Do Alice and Bob have the same K? True 
Eve has been listening and now tries to get her hands on K. If she can get her hands on Alice's secret a she is in business. She tries to compute a = log_g(A)...

... but runs out of memory and gives up.
