26 Confusion reigns even where there is order. 1, 10, 19, 28, 37, 46, 55, 64, 73, 82 | 91, 100, 109, 118, 127, 136, 145, 154, 163, 172 - 2, 11, 20, 29, 38, 47, 56, 65, 74, 83 | 92, 101, 110, 119, 128, 137, 146, 155, 164, 173 - 3, 12, 21, 30, 39, 48, 57, 66, 75, 84 | 93, 102, 111, 120, 129, 138, 147, 156, 165, 174 - 4, 13, 22, 31, 40, 49, 58, 67, 76, 85 | 94, 103, 112, 121, 130, 139, 148, 157, 166, 175 - 5, 14, 23, 32, 41, 50, 59, 68, 77, 86 | 95, 104, 113, 122, 131, 140, 149, 158, 167, 176 - 6, 15, 24, 33, 42, 51, 60, 69, 78, 87 | 96, 105, 114, 123, 132, 141, 150, 159, 168, 177 - 7, 16, 25, 34, 43, 52, 61, 70, 79, 88 | 97, 106, 115, 124, 133, 142, 151, 160, 169, 178 - 8, 17, 26, 35, 44, 53, 62, 71, 80, 89 | 98, 107, 116, 125, 134, 143, 152, 161, 170, 179 - 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 | 99, 108, 117, 126, 135, 144, 153, 162, 171, 180 # First: There cannot be a "0" digit-addition (0da) family. Second: In the 9da there is no prime number. Third: Each single-digit prime is also the da it is in (2, 3, 5, 7). Fourth: The first prime in the 1da is "19". Fifth: In the 6da there is no prime number. Sixth: The first prime in the 4da is "13". Seventh: The first prime in the 8da is "17". Eighth: In the 3da the only prime is "3". Ninth: Every integer in the 3da, 6da, and 9da is divisible by "3". Tenth: Each digit-addition family has a 10-term pattern. Eleventh: There are only 9 da patterns pertaining to powns and their pown multiples, and each of these patterns has 9 terms, and "9" is the 5th term in each pattern. Why? The da pattern repeats after every 9 terms because the da for x 1 equals the da for x 19; and, for this same reason, the da pattern repeats after every 18th higher pown. 19's da and 37's da is "1". Also, any integer times 9 equals a 9da integer. How crazy I am is an unknown; nonetheless, I'm pressing on. One interest is knowing how a prime relates to its square. Did a few calculations and it seems that in a given da family, both the primes and the squares of those primes, while each in a different da family, are respectively in the same da family. Thus, if the prime is in the 1da, its-- this is an exception--square is inthe 1da. If a prime is in the 2da, its squareis in the 4da. If a prime is in the 3da (and only one is), its square is in the 9da. If a prime is in the 4da, its square is in the 7da (because 4 x 4 = 16). If a prime is in the 5da, its square is in the 7da (because 5 x 5 = 25). If a prime is in the 7da, its square is in the 4da. If a prime is in the 8da, its square is in the 1da. So? Sew baritones on your underwear. Now, 11 (2da) times 17 (8da) equals 187 (7da) and 29 (2da) times 53 (8da) equals 1537 (7da). - What about 105, which is 3 x 5 x 7? - This is heading into combinatorics. - 29 (2da) times 19 (1da) equals 551 (2da), and 11 times 37 equals 407. 29 times 13 equals 377 (8da). 29 times 23 equals 667 (1da). 29 times 43 equals 1247 (5da). 29 times 47 equals 1363 (4da). - Conclusion 1: Every integer product is divisible by "1". Conclusion 2: The da of a pown product may be divisible by a pown of any other da. Had to fix an error in the da chart. After the correction, I noticed that "11" and "101" are both 2da, that "13" and "103" are both 4da, that "17" and "107" are both 8da, and that "19" and "109" are both 1da. This suggests that at multiples of 90 there may be other such prime pairs. In order to avoid being misunderstood, the pairs here are 11 and 13, 17 and 19, 101 and 103, 107 and 109. 90 up from 105 is 195 (3 x 5 x 13), and neither 7 nor 11 divide without remainders into 191, 193, 197, or 199. A prime does not assert its power until it attains its square. Primes > 13 do not, therefore, matter. 17 x 17 = 289. #

Brian A. J. Salchert

is a tiny wandering imaginary dinosaur which migrated from AOL in October of 2008.

## About Me

- brian (baj) salchert
- Rhodingeedaddee is my node blog. See
*my other blogs*and*recent posts*.

## Guide

[6-16-2009 Update Insert: Most of what is in this space is now moot. I found out what I was doing wrong and have reinstated Archives and Labels searches. They do work. However, in certain cases you may prefer Labels to Archives. Example: 1976 Today begins in November of 2006 and concludes in December of 2006, but there are other related posts in other months. Note: Labels only shows 20 posts at a time. There are 21 hubs, making 21 (which is for 1976 Today) an older hub.] ********************************* to my online poems and song lyrics using Archives. Use hubs for finding archival locations but do not link through them. Originally an AOL Journal, where the archive system was nothing like the system here, this blog was migrated from there to here in October of 2008. Today (Memorial/Veteran's Day, May 25, 2009) I discovered a glitch when trying to use a Blogger archive. Now, it may be template-related, but I am unable to return to S M or to the dashboard once I am in the Archives. Therefore, I've decided on this approach: a month-by-month post guide. The sw you see in the codes here stood for Salchert's Weblog when I began it in November of 2006. It later became Sprintedon Hollow. AOL provided what were called entry numbers, but they weren't consistent, and they didn't begin at the first cardinal number. That is why the numbers after "sw" came to be part of a post's code. ************** Here then is the month-by-month post guide: *2006* November: 00001 through 00046 - December: 00047 through 00056 -- *2007* January: 00057 through 00137 - February: 00138 through 00241 - March: 00242 through 00295 - April: 00296 through 00356 - May: 00357 through 00437 - June: 00438 through 00527 - July: 00528 though 00550 - August: 00551 through 00610 - September: 00611 through 00625 - October: 00626 through 00657 - November: 00658 through 00729 - December: 00730 through 00762 -- *2008* January: 00763 through 00791 - February: 00792 through 00826 - March: 00827 through 00849 - April: 00850 through 00872 - May: 00873 through 00907 - June: 00908 through 00931 - July: 00932 through 00955 - August: 00956 through 00993 - September 00994 through 01005 - October: 01006 through 01007 - November: 01008 through 01011 - December: 01012 through 01014 -- *2009* January: 01015 through 01021 - February: 01022 through 01028 - March: 01029 through 01033 - April: 01034 through 01036 - May: 01037 through 01044 - ******************************************************* 1976 Today: 2006/11 and 2006/12 -- Rooted Sky 2007: 2007/01/00063rsc -- Postures 2007: 2007/01/sw00137pc -- Sets: 2007/02/sw00215sgc -- Venturings: 2007/03/00216vc -- The Undulant Trees: 2007/03/00266utc -- This Day's Poem: 2007/03/00267tdpc -- Autobio: 2007/04/sw00316ac -- Fond du Lac: 2007/04/00339fdl -- Justan Tamarind: 2007/05/sw00366jtc -- Prayers in December: 2007/05/sw00393pindc -- June 2007: 2007/06/sw00440junec -- Seminary: 2007/07/sw00533semc -- Scatterings: 2008/08/00958sc ** Song Lyrics: 2008/02/sw00797slc ********** 2009-06-02: Have set S M to show 200 posts per page. Unfortunately, you will need to scroll to nearly the bottom of a page to get to the next older/newer page.

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## Tuesday, May 6, 2008

### sw00879math--digit-addition-families

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