monte-carlo gone wrong

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Can someone give examples where defective pseudo-random number generators gave incorrect simulation (or sampling, or polling, or gaming, …) results?

I am aware of the RANDU debacle and of

Ferrenberg, A. M., D. P. Landau, and Y. J. Wong. 1992. “Monte Carlo Simulations: Hidden Errors From “Good” Random Number Generators”. Physical Review Letters 69 (23): 3382–3384.

and

Peter Grassberger, "On correlations in 'good' random number generators," Physics Letters A, 181, 1993, 43-46.

and

Bauke, Heiko and Stephan Mertens, "Pseudo Random Coins Show More Heads than Tails," J. Stat. Phys. 114, 1149-1169, (2004)Normand, J.-

Any more? Maybe some that are less specialized?

(I am not looking for successful attempts to break encryption…)