Recent content by axelmorack

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    Graduate Consecutive integers divisible by a set of Primes

    Thanks for the link. Same sequence +1 because I'm using the difference. I will see if I can add one more number to the sequence. One thing for sure, since I have been playing with prime numbers, nothing I have ever done hasn't already been done by someone and usually 100 to 300 years ago...
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    Graduate Consecutive integers divisible by a set of Primes

    I am having more than a little fun with this sequence of numbers and am looking for a better algorithm to find the next numbers in the sequence. Let Z be the set of the first n odd primes. Find two integers j and k that are relatively prime to all members of Z where every integer between...
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    Undergrad Solving Coverage with Sets: Min Info Needed?

    I suspected I have too little information. However, I am not tiling because the objects do overlap. Thanks The objects are different shapes, The only guarantee is what is stated about the overlap in pairs.
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    Undergrad Solving Coverage with Sets: Min Info Needed?

    A question about sets?? I have a number of weird shaped flat objects. I am interested in covering as much of the floor as I can. After placing the objects on the floor, the only info I have is: Choosing any two objects on the floor, the overlap between them is at a minimum possible...
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    Undergrad Next number in the sequence 2 3 5 7 11 13 17 20 23 29 33

    I'm thinking that as you go to larger primes that the sequences keep coming back to the pattern you describe above but keep veering off from time to time. It is so computationally intense it will be hard to check.
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    Undergrad Next number in the sequence 2 3 5 7 11 13 17 20 23 29 33

    19 | 3 5 11 3 13 23 3 7 19 3 17 5 3 11 7 3 5 13 3 yields 20
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    Undergrad Next number in the sequence 2 3 5 7 11 13 17 20 23 29 33

    If you go out on the number line to find the best starting spot for 3,5,7 and 11, that number will be relatively prime to 3,5,7 and 11. It will be of the form (3K+r1), (5K+r2), (7K+r3), and (11K+r4). It is relatively easy to think of starting from 0 and crossing out numbers of the form...
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    Undergrad Next number in the sequence 2 3 5 7 11 13 17 20 23 29 33

    You are correct.
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    Undergrad Next number in the sequence 2 3 5 7 11 13 17 20 23 29 33

    The max length of the sequence + 1. I expanded on this in: http://frognumbers.wordpress.com/
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    Undergrad Next number in the sequence 2 3 5 7 11 13 17 20 23 29 33

    I have always been curious about the distance between prime numbers. I call the sequence above the frog numbers because I don't know what else to call them. They are generated from the first n odd primes. How many consecutive integers are divisible by at least one of the set. Then add 1...