In a message dated 2/27/99 12:54:05 AM Eastern Standard Time, [EMAIL PROTECTED]
writes:

> Earlier I posted the notion that Mersenne primes might be used to
>  impress extraterrestrial civilizations.  After thinking it thru, I think we
>  can make a stronger arguement than that:   Mersenne primes might
>  be the *best* yardstick to *prove* a certain level of technological
>  achievement, perhaps the most logical yardstick.
>  
>  Consider: Interstellar messages may be in the form of binary messages
>  where the number of bits is the product of two large primes (call them
>  M and N).  Any mathematically oriented receiver would place the bits
>  into an MxN array and color in the 0s (or 1s) and get a black and white
>  picture.  These pictures cannot be used to *prove* ones level of technology
>  level for they could easily be faked.  We could create a picture of a
>  more advanced city that we currently have, for instance, from a model.
>  
>  But, the primes *cannot* be faked.  You either have the computational
>  ability to find them or not.  We could send out a list of all known
>  primes as a proof of computational prowess, but I would suggest
>  sending only the Mersennes would prove our technology to any possible
>  exocivilizations with far less power wasted sending all known primes.
>  
>  Can anyone think of any way to *prove* the level of sophistication
>  of our current society, better than a list of Mersenne primes?  spike
>  

Anyone out there who has the radio to receive our message is smart enough to
talk to -- why rule them out if they're a bit mathematically behind?

If you just want to tag your message in an obvious way that says "NOT A
NATURAL PHENOMENON, A REAL MESSAGE" you don't have to send anything LIKE all
primes, just a few dozen will be plenty.

A picture formed by a MxN matrix of dots, where M and N are Mersenne primes,
is gonna be REALLY REALLY big......
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