Yes, I had kinda figured out the LCM thing myself. The problem is I expect my lower sequence (3…7 in the example) to be quite huge (in the range of 2^16), so I am not sure if my upper sequence (although it might be in the range 2^2048) will be greater than the LCM of the lower sequence number.

Anyway, I can’t thank you enough for all your suggestions till now.

Thanks a lot. That is indeed a very interesting observation.

I do have a follow-up question though and I would very much appreciate your feedback on it.

As before let us consider two sequences: 63… 93 and 3… 7. Let n be the the number of indivisible numbers in sequence 63… 93 w.r.t 3… 7. Now, I am interested in finding the number of indivisibles in (2×63) ... (2×93) w.r.t the same sequence 3… 7. My contention here is that the number of indivisible also doubles i.e. it will be ~ 2n. More precisely, the number of indivisibles will be in between (n-1) x 2 and (n+1) x 2.

For example, the number of indivisibles in 63… 93 w.r.t 3… 7 is 9, while the number of indivisibles in (2×63) ... (2×93) w.r.t 3… 7 is 20.

I verified the above observation on examples, but I don’t seem to be able to prove it.

TIA

The solution to the puzzle i.e. answer to the question ‘What do earworms and the number 1.0594630943592952645618252949463417 have in common?’ is

‘well-tempered music’ or ‘well-tempered melodies’.

I’m making the assumptions that earworms, the sort of addictive melodies circling in the human brain’ were played with well-tempered instruments like e-pianos (discounting the capability of violinists to play non-well tempered melodies were the ratio of frequencies of a quint for example can be 3 to 2).

The irrational number is 2^(1/12). Suppose you start at 440 hertz. The frequency of the next note is 440 times 2^(1/12) and so forth till you reach 880.

Does this help?

I also posted it into the thread.

Hi Marty-

The green belt is in the darn Six Sigma—it goes yellow belt, green belt, black belt, master black belt. Grrr. I can’t believe I took statistics in college 5 times before I passed (1st 4 professors were not native english speakers), and now I’m getting professional certification in a methodology that’s all about statistics.I wish I had more time to study, but if I did, I probably would want to be studying something else. Anyhow, there’s a raise tied to getting certified. I do really want to take GRE and do well on it. Humana has a good tuition reimbursement program, and now that everyone is out of the house, I would like to go back to school and see what it’s like to be differently motivated and in class.

What did you think of Slumdog Millionaire? I didn’t see it so much as a boy-gets-girl movie, as I did a commentary on how our lives our the sum of our experiences, bound together.

I would think Morocco would be interesting. One of my co-workers went this summer, as a day trip from Spain. I true Louisville fashion, they were having tea, and struck up a conversation with a group of Americans. Turns out one of them had a daughter who lived in Louisville in the same condo complex as my co-worker! Stuff like that happens all the time when you’re from here. My young friend Travis had an engineering coop in Tunisia and loved it. It was very French. His photos reminded me of Myrtle Beach in the 1970’s.

TennesseeJAC seems to have resolved his conflicted dating situation with the woman he was not attacted to. He kissed her, and changed his mind about that. Glad to know old school rules of attraction still work.