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Old 2007-07-30, 23:26   #2
gd_barnes's Avatar
May 2007
Kansas; USA

22·33·107 Posts
Default No k's with primes n=1 to 10 up to k=10G

An update here...

I extended this search by 100X all the way up to k=10G. There were still no k's that were prime for n=1 thru 10! One big thing that makes 10 consecutive primes harder is the factor of 11. If the k is not divisible by 11 and there's not a 'covering set' of other factors to eliminate it, it occurs (at least) once every 10 n. Over 1/3rd of the k's that were prime for n=2 thru 10 had a factor of 11 for n=1. Obviously the same situation would occur at any number of consecutive primes that is a low prime number minus 1.

I did find one that has 10 consecutive primes though. k=6522452145 is prime for n=2 thru 11. That's a more rare find than one that is prime for n=1 thru 10, so that's a good thing.

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