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Donald Knuth claims cycle of 3178

In the book by Donald Knuth, volume 2, in the introduction, page 5, I read:
"With another starting number, the sequence began to repeat after 7401 values, in a cyclic period of length 3178".
Now I've been calling KnuthSRNG a few million times, and I get that 98.5% of the number fall in a cycle of 4628, and the remaining 1.5% in a cycle of 2053. (I couldn't find anything else except for 6065038420.)
I don't know if that's Donald's mistake, or there is a bug in this algorithm, but something seems to be wrong here. Donald, if you read this, can be more specific?
If only Donald had been more specific, it would be much easier to find the problem.

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