On Mon, Nov 23, 2009 at 9:02 PM, Chris Burke <cbu...@jsoftware.com> wrote:
> On Wed, Nov 11, 2009 at 11:56 AM, Ian Clark <earthspo...@googlemail.com>
> wrote:
>> http://www.jsoftware.com/jwiki/Doc/Articles/Play211 [see end-of-page]
>>
>> Problem 2: Finding the sixth in a series
>>
>> You are given five 10-digit numbers from the digits of pi, and must
>> find the sixth. Here are the numbers:
>>
>> 4338327950
>> 2795028841
>> 6939937510
>> 3993751058
>> 2110555964
>>
>> Here they are, embedded in pi:
>>
>>   7 30 $ w
>> 31415926535897932384626<4338327
>> 95028841>971<693993751058>2097494
>> 459230781640628620899862803482
>> 534211706798214808651328230664
>> 709384460955058223172535940812
>> 84811174502841027019385<2110555
>> 964>462294895493038196442881097
>>
>> The first and second overlap, as do the third and fourth.
>>
>> I'll give two hints, the second vacuous:
>>
>> Hint 1: Primarily, the sixth number has three doublets and overlaps
> the fifth.
>>
>> Hint 2: Alternately, something for nothing.
>> +++++


I see only two possibilities here:

5559644622
5596446229

I favor the second because the first has four
doublets (it has two overlapping instances of
"55").  But maybe something deeper is going
on, here.

-- 
Raul
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