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POPSThe Number Spiral It looks as though primes tend to concentrate in certain curves that swoop away to the northwest and southwest, like the curve marked by the blue arrow. (The numbers on that curve are of the form x ( x +1) + 41, the famous prime-generating formula discovered by Euler in 1774.) Some clips from a wonderfully-done exploration of this curious mathematical construct (also known as the Ulam Spiral ). To date, it is not fully understood exactly why more primes tend to fall along certain "curves" in the spiral than others, but the elusive quest for a simple prime-generating formula keeps the deceptively-simple spiral intriguing to number theorists.
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POPSTrap-jaw ants set new animal kingdom speed record (VIDEO!) You MUST SEE the researcher's high-speed video footage from this project. It's INCREDIBLE! Escape Jump (.mov) Bouncer Defense (.mov) Also, from the CalAcademy website: One of the most amazing things about these trap-jaw ants is the way they can work together to stay safe,” says Fisher... “A group of ants can confuse predators by performing multiple, simultaneous escape jumps, creating what I call the ‘popcorn effect.’ The ants can also team up to perform group bouncer defense attacks on large intruders.”