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doi: 10.1038/053079d0
MR. LUCAS'S theorem is quite correct: the cases for r = 10 have been given by E. Lucas in his “Theorie des Nombres,” i. p. 28, as well as (if I remember rightly) in the “Arithmetique Amusante.” M. E. Lucas was probably acquainted with the general theorem; whether he published it, or whether it has ever been published, I cannot say.
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