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Using software from the GIMPS project, Cooper and Dr. Steven Boone found the 43 rd known Mersenne Prime on their 700 PC Cluster on December 15 , 2005 . The prime, 230402457 - 1, is 9,152,052 digits long and is the ninth Mersenne prime for GIMPS.
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Cooper and Boone became the first GIMPS contributors to find two primes when they also found the 44 th known Mersenne prime, 232582657 − 1, which has 9,808,358 digits (or M32582657 for short). This prime was discovered on September 4 , 2006 using a PC cluster of over 850 machines. This is the tenth Mersenne prime for GIMPS. 2

Cooper's own work has mainly been in elementary Number Theory , especially work related to digital representations of numbers. He collaborated extensively with Robert E. Kennedy. They have worked with Niven Number s, among other results, showing that no 21 consecutive integers can all be Niven numbers 3, and introduced the notion of Tau Number s, numbers whose total number of divisors are itself a divisor of the number4. Independent of Kennedy, Cooper has also done work about generalizations of Geometric Series , and their application to Probability 5.

Cooper is also the editor of the publication Fibonacci Quarterly .

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