## Gruesome Runs - New Record 11 (and 13)

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• Mine being: 31,32,33,34,35,36,37,38,39,40,41 31, 2,11,17, 7, 3,37,19,13, 5,41 One thing I ve noticed is that its best to start a run of these at a power of two
Message 1 of 1 , Mar 1, 2002
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Mine being:

31,32,33,34,35,36,37,38,39,40,41

31, 2,11,17, 7, 3,37,19,13, 5,41

One thing I've noticed is that its best to start a run of these at a
power of two [or maybe just before if you're near a Mersenne ;) ] The
reason being is that the first element, the 2^k, eliminates the chance
that any other succeding number could use 2 as its prime. And with such
info, let me look at 64: and yup, I just got a gruesome run of 13,
which is:

64,65,66,67,68,69,70,71,72,73,74,75,76

2,13,11,67,17,23, 7,71, 3,73,37, 5,19

It took me about 5 minutes with pen and paper to find these two, I'm
sure a program could find many more much more quickly. Don't know if
I'll write it, I'm going to go rent some movies tonight. Anyway, have

-David C.

Jon Perry wrote:
>
> Being:
>
> 16,17,18,19,20,21,22,23
>
> 2 ,17, 3,19, 5, 7,11,23
>
> Jon Perry
> perry@...
> http://www.users.globalnet.co.uk/~perry
> http://www.users.globalnet.co.uk/~perry/maths
> BrainBench MVP for HTML and JavaScript
> http://www.brainbench.com
>
> -----Original Message-----
> From: Jon Perry [mailto:perry@...]
> Sent: 01 March 2002 18:56
>
> Owing to the high probabilty that 8,9,10 is the longest gruesome run, I have
> modified the definition to allow primes.
>
> So, my new record is:
>
> 9,10,11,12,13,14
>
> length 6
>
> having the single pattern:
>
> 3,5,11,2,13,7
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