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  1. #1
    Moderator Joe O's Avatar
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    Quote Originally Posted by jMcCranie View Post
    OK, so how about: no double checking to try to resolve the conjecture nearly twice as quickly, but if and when it gets down to only one k with unknown status, run a double check on those.

    ----Added----

    I'll make an analogy. Suppose that there are a large number of boxes. A small number of boxes contain a diamond and you want to find diamonds. The first time you look in a specific box, if it contains a diamond, there is a 5% chance that you will not see it.

    Should you (1) spend half of your time double-checking boxes you have already opened, or (2) open as many boxes as you can? I would open as many boxes as I can.
    It is important to note that the boxes are numbered, and
    1) The lower numbered boxes are more likely to contain a diamond than the higher numbered boxes.
    2) The higher numbered boxes are harder to open than the lower numbered boxes.
    Joe O

  2. #2
    Quote Originally Posted by Joe O View Post
    It is important to note that the boxes are numbered, and
    1) The lower numbered boxes are more likely to contain a diamond than the higher numbered boxes.
    2) The higher numbered boxes are harder to open than the lower numbered boxes.
    Taking that a bit further, the difficulty of opening the boxes is proportional to the square of the box number, and the overall chance of finding a diamond (taking into account how hard it is to open the box as well as the likelihood of a given box containing a diamond) is inversely proportional approximately to the cube of the box number times the logarithm of the box number. Diamonds in higher numbered boxes are much harder to find. You really don't want to miss the easy ones, ever.

    The allure of progressing twice as fast is obvious, but the penalty for missing a prime is tremendous.

  3. #3
    Senior Member tim's Avatar
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    Mike, please check your email for my results.txt files.

  4. #4
    Greetings,

    about the double check discussion.

    I like to remind you guys that at least one of the primes was found via secondpass - that means a prime was missed with the firstpass tests, aka we already had a false negative - right in the SoB project. (the one at ~3M)


    Chris

  5. #5
    Senior Member engracio's Avatar
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    All true. Just saying. Hate to go 10 miles down the road and find out we missed the turn.
    Quote Originally Posted by chris View Post
    Greetings,

    about the double check discussion.

    I like to remind you guys that at least one of the primes was found via secondpass - that means a prime was missed with the firstpass tests, aka we already had a false negative - right in the SoB project. (the one at ~3M)


    Chris

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