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Perfect and Deficient Perfect Numbers., and . The American Mathematical Monthly, 126 (6): 541-546 (2019)A Theorem of Touchard on the Form of Odd Perfect Numbers.. The American Mathematical Monthly, 109 (7): 661-663 (2002)Math Bite: Sums of Sines and Cosines. Mathematics Magazine, 82 (2): 126 (2009)A Cryptographic Scavenger Hunt., and . Cryptologia, 31 (4): 316-323 (2007)Review: Roots to Research: A Vertical Development of Mathematical Problems by Judith D. Sally; Paul J. Sally, .. The American Mathematical Monthly, 116 (8): 754-758 (2009)