Posted: Apr 10, 2010 6:45 am
Now, it's already much too late to contemplate finishing in the time-frame most recently mentioned, and I'm beginning to get tired anyway. So, I'll go to sleep after this description of the 'complex' of results that I have in mind, and then I'll spend all of tomorrow (today) until I feel I've really laid out as much as I can here on the nitty-gritty of the subject, an entirely different complex of results and some closing remarks. Then for a week at least I'm going to be doing very different things (I long ago committed the week starting Sunday to trying to help edit some of Wikipedia's more contentious articles, and I have much else to do as well).
Rather than spell everything out long here, I'm just going to refer to a sequence I re-discovered (most of) at the start of all this and my own published sequences on the complex; and then after mentioning one unpublished likely prime and a cute thing involving letters and the English language that will segue into what I plan to say later, I'm going to bed.
The re-discovery is http://research.att.com/~njas/A096594
The overarching sequence, and the source of the other curio on 17 is:
http://research.att.com/~njas/sequences/A173189
The first two sequences of mine are:
http://research.att.com/~njas/sequences/A152396 and http://research.att.com/~njas/sequences/A152397
The latter, by the way, is very hard to get a 5th term on.
http://research.att.com/~njas/sequences/A172998 is a little superfluous, but it connected me to the word thing.
I'll be editing in at the end another sequence which I forgot to bring the number for that's significantly related.
Now, the one likely fact that deserves to be included is that the next prime like 1000999998997996995994993 is 7777 digits (coming from 10972).
The thing involving letters starts with my looking up the curio on 10987. It's an alphametic: ALI+BABA+WAS+A=LIBRA. Trying to find something similar with 100999897 was what, therefore, occurred to me. The three 9s in a row told me I was looking for something of a slightly different sort, so I 'decided' it must be an anagram using letters spaced as the digits. At first, I both goofed finding something that was wrong and missing the right one: WE EXCEED W being the wrong answer (unless there's counted the space from Z to A), and GO OFF MOON being the right one. That's the transition point.
One other thing is that the sequence I referred to as 'over-arching' gave me a little gift as I was leaving by necessity on Tuesday at a certain time and the term for base 133 came out as 13 just in time before an automatic update that I wouldn't have been able to stop would have shut my computer down at a loss of that particular piece of weeks' worth of research.
Edit: Here is the other sequence: http://research.att.com/~njas/sequences/A172994
Rather than spell everything out long here, I'm just going to refer to a sequence I re-discovered (most of) at the start of all this and my own published sequences on the complex; and then after mentioning one unpublished likely prime and a cute thing involving letters and the English language that will segue into what I plan to say later, I'm going to bed.
The re-discovery is http://research.att.com/~njas/A096594
The overarching sequence, and the source of the other curio on 17 is:
http://research.att.com/~njas/sequences/A173189
The first two sequences of mine are:
http://research.att.com/~njas/sequences/A152396 and http://research.att.com/~njas/sequences/A152397
The latter, by the way, is very hard to get a 5th term on.
http://research.att.com/~njas/sequences/A172998 is a little superfluous, but it connected me to the word thing.
I'll be editing in at the end another sequence which I forgot to bring the number for that's significantly related.
Now, the one likely fact that deserves to be included is that the next prime like 1000999998997996995994993 is 7777 digits (coming from 10972).
The thing involving letters starts with my looking up the curio on 10987. It's an alphametic: ALI+BABA+WAS+A=LIBRA. Trying to find something similar with 100999897 was what, therefore, occurred to me. The three 9s in a row told me I was looking for something of a slightly different sort, so I 'decided' it must be an anagram using letters spaced as the digits. At first, I both goofed finding something that was wrong and missing the right one: WE EXCEED W being the wrong answer (unless there's counted the space from Z to A), and GO OFF MOON being the right one. That's the transition point.
One other thing is that the sequence I referred to as 'over-arching' gave me a little gift as I was leaving by necessity on Tuesday at a certain time and the term for base 133 came out as 13 just in time before an automatic update that I wouldn't have been able to stop would have shut my computer down at a loss of that particular piece of weeks' worth of research.
Edit: Here is the other sequence: http://research.att.com/~njas/sequences/A172994