I suspect the value for the highest k given base 2*p might be p^ceil(log_2(p)) On Fri, Dec 16, 2011 at 1:11 PM, Fred W. Helenius <fredh@ix.netcom.com> wrote:
On 12/16/2011 3:57 PM, Tom Rokicki wrote:
On Fri, Dec 16, 2011 at 11:13 AM, Tom Rokicki<rokicki@gmail.com> wrote:
Okay, new higher results:
base 34: high is 1056 from 1419857 base 38: high is 1184 from 2476099
base 46: high is 1440 from 6436343 base 58: high is 1824 from 20511149 base 62: high is 1952 from 28629151
Clearly bases of twice primes permit high values. All the values (for k) are divisible by (b-1).
1419857 = 17^5 2476099 = 19^5 6436343 = 23^5 20511149 = 29^5 28629151 = 31^5
But for base 26, it was 28561 = 13^4. Hmm.
-- Fred W. Helenius fheleni@emory.edu
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