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NEW MERSENNE PRIME FOUND!

PrimeLightning strikes twice. On September 4, 2006, in the same room just a few feet away from their last find, Dr. Curtis Cooper and Dr. Steven Boone's CMSU team broke their own world record, discovering the 44th known Mersenne prime, 232,582,657-1. The new prime at 9,808,358 digits is 650,000 digits larger than their previous record prime found last December. However, the new prime falls short of the 10 million digits required for GIMPS to claim the Electronic Frontier Foundation $100,000 award.

With five record primes found in less than 3 years, GIMPS has been on an incredible lucky streak. Never before have Mersenne primes been bunched so closely together. When looking at the exponents, we expect only 1.78 Mersenne primes between powers of two, and prior to 2003, a maximum of 3 Mersenne primes were found between powers of two. The last 5 Mersenne prime exponents all fell between 224 and 225 -- and we haven't finished testing all the exponents in that range!

The new prime was independently verified in 6 days by Tony Reix of Bull S.A. in Grenoble, France using 16 Itanium2 1.5 GHz CPUs of a Bull NovaScale 6160 HPC at Bull Grenoble Research Center, running the Glucas program by Guillermo Ballester Valor of Granada, Spain.  More...

Star Trek Web Sites

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A Hovering Hummingbird


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Originally uploaded by EricHall.

Although this post may require a name change from MathGeek to CameraGeek, here is a great photo I took of a hummingbird. Click here for some fun hummingbird math activities.

A Colorful View of Pi

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Click here for a colorful view of Pi.  Starting from left to right, top to bottom, each of the first N digits of Pi is represented by a different color according to the legend on the right side of the image.  Does anyone know the value of N?  Also, everyone knows that Pi is irrational, as is the square root of two, but unlike the square root of two, Pi is also transcendental.  For bonus points, what does it mean to be transcendental?

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