Verified Certificate

Supported by the following organizations

This is to certify that Jacek Czaja successfully completed and received a passing grade in 004x: Fun with Prime Numbers: The Mysterious World of Mathematics a course of study offered by KyotoUx, an online learning initiative of Kyoto University.

Noted by

Tetsushi Ito

Tetsushi Ito

Associate Professor, Department of Mathematics, Faculty of Science Kyoto University

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An edX Verified Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.