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Jan 15, 2011 at 2:45 comment added N S true, but once $k=4$ becomes a record, $k=5$ beats it and so on :D
Jan 14, 2011 at 23:09 comment added Wadim Zudilin +1. How many reps do you need? For the future, your comment could be simply turned into an answer by giving the explicit coincidence interval for some $k$ which beats others' records. $k=4$ would be more than sufficient. :-)
Jan 14, 2011 at 21:47 history answered N S CC BY-SA 2.5