RE: Why the interest in really big primes? Re: new confuser

From: Gary Miller (garymiller@starband.net)
Date: Fri May 30 2003 - 07:04:47 MDT

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    >> The topic came up on the Mersenne Search chat group: Guys,
    >> why the hell are we doing this?

    I don't wish to offend anyone or lay on a big guilt trip but here goes.

    The idea of wasting CPU cycles on primes and searching for ET when
    there are worthy projects like http://www.find-a-drug.com/ trying
    to find cures for diseases like cancer just makes me question
    how much we really care about our fellow man.

    Just please think about the people you've known who have died of Cancer
    and
    what the odds of someone in your family dieing a horrible death before
    you decide where to spend your CPU cycles.

    I can't think of a more worthy Extropian goal than by increasing the
    average
    human lifespan by eliminating Cancer!

    Just remember once we cure Cancer we free up those billions for R&D in
    heart
    disease our other number one killer!

    I believe I read somewhere that by curing those two diseases alone that
    our
    average lifespan would jump at least 6 years.
     

    -----Original Message-----
    From: owner-extropians@extropy.org [mailto:owner-extropians@extropy.org]
    On Behalf Of Spike
    Sent: Friday, May 30, 2003 1:09 AM
    To: extropians@extropy.org
    Subject: RE: Why the interest in really big primes? Re: new confuser

    >Spike just for idle ignoramuses like myself what is the basis
    >(generally) for the interest in *really* big prime numbers and their
    >discovery...

    >I'm merely curious. Are there applications for this sort of thing? Why
    >Spike, Why? Brett Paatsch

    The topic came up on the Mersenne Search chat group: Guys,
    why the hell are we doing this?

    There were a number of responses, of which yours truly
    won the grand prize for the most creative idea, this
    prize being the heartfelt (if temporary) esteem of the
    group.

    My notion is that a long list of Mersenne primes could
    be used as a gentle deterrence or a weapon of peace for
    any extraterrestrial civilizations we might contact. If
    we reveal our many resources, ET might be tempted to
    come here and devour same.

    But if we transmit a long list of Mersenne primes, (the
    same in any base, in any corner of the universe) we
    demonstrate that not only are we a clever species, we have
    computer resources to simply waste on foolishness. This
    could be easily extrapolated into our having a veritable
    firehose of technology. One would be ill advised to give
    humanity a reason to turn that firehose upon one.
    (nice doggie, niiiice doggie, while backing away slowly.)

    There are other reasons, such as THE MONEY! I could put
    $100k to good use, couldn't you? Why not, it's a (nearly)
    free lottery ticket. Furthermore, if you find one, you get
    your name on a short list for all time, along with such
    names as Euler, Pervushin, Woltman and Lucas.

    Every time the group finds a new prime, you get to attend a
    way cool math party with such luminaries as Donald Knuth and Ernst
    Mayer. One must carefully rehearse not falling
    prostrate upon the earth before them, crying plaintively
    "Im so unworthy! I suck!" (They don't like it when you do
    that in a crowded restaurant.)

    I have reconnected with a lot of local math geeks either directly or
    indirectly thru GIMPS.

    Gregory Stock made a pitch at Extro4 about the effect
    of cash prizes on research. We now have a perfect study
    case. The EFF prize turned out to have little impact
    that I can tell. The introduction of the Pentium 4
    had a large impact however.

    It is interesting to have a quantity that continues
    to double in size every 11 seconds for years. The size
    of the record largest prime doubles every 11 seconds
    on average for long stretches of time (~1 million
    decimal digit prime discovered on 27 Jan 1997, 2+ million
    digit prime discovered 1 June 1999, 4+ million digit
    prime discovered 14 November 2001. The doubling time
    is actually getting shorter, as more people join GIMPS
    and CPUs get dramatically faster. Since we are currently searching near
    the 6 million digit mark, the doubling time is now under 10 seconds.
    How many phenomena do you know
    that exhibit hyperexponential growth, continuously
    over long periods?

    GIMPS reduces waste. If your background computing
    cycles are not being used by something, your computer
    is sitting there 99.9% of the time saying" whatdoIdo, whatdoIdo,
    whatdoIdo... over and over. If you buy a newer machine, it asks
    whatdoIdo much faster. We
    should be WORKING those idle CPUs.

    It pleases me to know my idle CPU cycles are being used
    to advance science, even if in a kind of trivial way.
    But not really *that* trivial. We are making a map of
    nature here, a universal map. We don't know *for absolute
    sure* that the abundance of primes continues to follow logarithm rule
    for abundance. How would we know if they mysteriously began to thin out
    once one is way out in the kilothousand digit primes, beyond our ability
    to determine primeness? Well, the Mersenne primes have that wonderful
    shortcut to determine primeness, the Lucas Lehmer algorithm, which
    allows a primality test to be done millions of orders of magnitude more
    quickly than without it. In what other area do you know of that you can
    even logically use the phrase "millions of orders of magnitude" without
    any exaggeration at all?

    Mersenne Primes can be used to determine if your CPU is
    running at the advertised speed, and with accuracy. The
    GIMPS software logs whenever your computer drops a bit and
    causes a checksum error. These checksums are performed
    every couple hours or so. This way, if you get a checksum
    that implies an error, the algorithm loses only a small
    amount of processor time, going back to the last time
    a reasonable checksum was found.

    Heres the final thought. My friend Scott Kurowski
    volunteered his company's services (irony: it is called
    Entropia.com) to organize GIMPS. One would have to know
    Scott. He is the kind of guy who has money magnetism.
    If he walks thru a room, currency seems to chase him,
    struggling to get into his pocket. A generous person is
    he: at the last Mersenne party, he showed up and picked
    up the bill. There were 14 of us present.

    One wonders why Scott, the ultimate businessman, would
    spend money in this way. Then it occurred to me that
    GIMPS has generated a database of enormous value. Computers dont make
    mistakes often, but they do make mistakes, and the designs have bugs,
    such as the famous Pentium bug. GIMPS has been quietly collecting data
    for several years now on every kind of processor and every kind of
    operating system that is in the world today. When your processor makes
    a bad checksum, the result is logged. Scott can tell you what processor
    is best, Intel, AMD or Motorola. He can tell you if any particular
    operating system correlates
    with more checksum errors. He can tell you which
    combinations of processor and operating system works
    best.

    How much do you think this data is worth? To Intel? AMD? Motorola?
    How about HP, Dell, Micron and Gateway?

    Ive been meaning to ask Scott if he planned all along
    to gather this database, or if it was just a fortunate accident, an
    unintended byproduct. What do you think?

    But for me, the biggest reward is being mentioned by the
    highly esteemed Australian science writer Dr. Damien
    Broderick, in his most intriguing and extropic book about
    the future, The Spike, on page 87.

    Of course, if I win the 100 kiloclams, that would surpass
    the book thing as the biggest reward, but still the cite
    is way cool.
     
    {8-] spike





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