prime number power residues and/or indices

John E. Franklin · 2012-01-21 08:07:15

Adirondacks or Catskills, I've been to both once.

bobbym · 2012-01-21 08:09:14

Catskills, vacationing up there around Leeds. Went for a hike into the woods like a dummy.

John E. Franklin · 2012-01-21 08:10:09

Oh, I've been to Phonecia.

bobbym · 2012-01-21 08:12:01

I was never there. Where is it?

John E. Franklin · 2012-01-21 08:16:28

In the middle of the catskills. Nice town. My Dad and I stayed overnight one or two nights on the second floor of an old house motel on main street.

bobbym · 2012-01-21 08:17:34

Cool, the catskills are really beautiful.

John E. Franklin · 2012-01-21 08:22:11

Ingemar Johansson trained boxing in the catskills. He was born in 1932 and died in 2009 wiki said.

bobbym · 2012-01-21 08:24:34

I did not know that. I know a lot of fighter do train up there.

John E. Franklin · 2012-01-21 08:25:42

My Dad told me about him about 2 1/2 years ago and I put his photo on my desktop to remind me to exercise!

bobbym · 2012-01-21 08:29:29

That is one way to remember. I have known people who stuck pictures of obese people on the refrigerators to stop eating.

John E. Franklin · 2012-01-23 02:18:27

I saw a pic of a rock musician whose name escapes me, something like Feejer, some gal that's in good shape, and that inspired me to exercise and walk more. Fogee. OH, Fergee, I think.

bobbym · 2012-01-23 02:21:37

I love walking but it can be hard on the feet. More interesting than a treadmill, for instance.

John E. Franklin · 2012-01-23 02:51:45

Yes, invest in $25 insoles and then big powerful clipper-scissors and snap V-shapes around the edges of the heel especially and experiment and you will create an even squishier insole.

John E. Franklin · 2012-01-23 03:35:23

Here's my code to regenerate the numbers in the book.
It is currently setup to just do prime #23, where 5 is the multiplier (my 4 in program).

'''John Eric Franklin, getting ideas from 1962 book for $3.00
'''bought at Homestead Bookshop in January of 2012.
'''example output for prime #23 with multiplier of 5
'''which is the same as jAddTimes=4 in my program. (4=5)
'program output:
'1 Begin  5
'2 10
'4 20
'8 17 16 11 9 22 18 21 13 19 3 15
'6 7 12 14 1  CIRCLE
'5
'2 10
'4
''end of program output.

jAddTimes=4'1'2'3'4'5
'''jaddtimes is basically the multiplier in the book, but one less,
'''because if you add 8 to itself you multiply by 2, but you add only ONE 8.

jNow = 23'''647''151
''jQff is also known serendipitously as "JStartValueinRing", surreptitiously says the dictionary.
jQff = 1'''112 'this number loops around distinctly all 1..(jNow-1) #'s.
jQffToTheRaces = jQff
'''mod = jNow, number of interest
jSeriesTestingLength=jNow+3'55'122'233

print jQff;" Begin  ";
for jBigLoop = 1 to jSeriesTestingLength

jAddAmount = jQffToTheRaces
'for jloop = 1 to jAddTimes
for jloop = 1 to jAddTimes
''EXPERIMENTAL NEXT LINE...!!!!
''''for jloop = 1 to (jAddAmount-1)  '''(this does squares instead of multiplying to the next number in the ring)

  ''1st time just did same add distance, not really multiplying by mistake, but learned a lot.
  ''jQffToTheRaces = jQffToTheRaces + jQff (1st test with adder never changing)
  jQffToTheRaces = jQffToTheRaces + jAddAmount

next jloop
if (jQffToTheRaces = jNow) then
  Print
  Print "Number of interest was reached EXACTLY off by ZERO, this was unexpected!!"
end if
if (jQffToTheRaces < jNow) then
  print jQffToTheRaces
else ''IS BIGGER or EQUAL, MOD IT OFF...
 do
  jQffToTheRaces = jQffToTheRaces - jNow
  ''''print jQffToTheRaces;" [ ";jNow;" ] ";
 loop until (jQffToTheRaces < jNow)
 print jQffToTheRaces;" ";
end if
if (jQffToTheRaces = jQff) then
   print " CIRCLE "
end if
next jBigLoop















''''EOF

bobbym · 2012-01-23 04:05:15

Looked around for that book on the internet but it was not available.

John E. Franklin · 2012-01-23 04:06:41

Oh, I guess I got a lucky find!

bobbym · 2012-01-23 04:11:09

Yes, books like that can be had in old book shops and things like that for reduced prices.

John E. Franklin · 2012-01-23 04:15:13

Yeah, if the remainder in the other thread had been mod with a non-prime, then the ring that repeats is usually some integer fraction of the non-prime number, I have been noticing, but my results are sketchy right now.

bobbym · 2012-01-23 04:17:02

That is good that you noticed that. Number theory is a nice field to play in.

John E. Franklin · 2012-01-23 04:18:29

Yeah, I couldn't prove much, but I sure can play and guess.

bobbym · 2012-01-23 04:21:09

"Spot the pattern!" A teacher I knew, that was his favorite phrase.

John E. Franklin · 2012-01-23 04:31:01

One of my professors used to say, "Isn't it neat?" whenever he saw something, but he said it in such a way that it sounded like a sentence, not a question whereby he didn't go to a higher frequency at the "neat" word. "isn't it neat."

bobbym · 2012-01-23 04:32:07

Was he a math professor?

John E. Franklin · 2012-01-23 04:34:55

He taught (sort of boolean algebra), but it was an electronics course called "Logic Circuits" with a lot of Karnaugh mapping for combinatorial circuits and sequential circuits with flip-flops, D, J-K are some flip-flops.

bobbym · 2012-01-23 04:36:16

Cool, Karnaugh maps, haven't seen them in a long time.

Math Is Fun Forum

#51 2012-01-21 08:07:15

Re: prime number power residues and/or indices

#52 2012-01-21 08:09:14

Re: prime number power residues and/or indices

#53 2012-01-21 08:10:09

Re: prime number power residues and/or indices

#54 2012-01-21 08:12:01

Re: prime number power residues and/or indices

#55 2012-01-21 08:16:28

Re: prime number power residues and/or indices

#56 2012-01-21 08:17:34

Re: prime number power residues and/or indices

#57 2012-01-21 08:22:11

Re: prime number power residues and/or indices

#58 2012-01-21 08:24:34

Re: prime number power residues and/or indices

#59 2012-01-21 08:25:42

Re: prime number power residues and/or indices

#60 2012-01-21 08:29:29

Re: prime number power residues and/or indices

#61 2012-01-23 02:18:27

Re: prime number power residues and/or indices

#62 2012-01-23 02:21:37

Re: prime number power residues and/or indices

#63 2012-01-23 02:51:45

Re: prime number power residues and/or indices

#64 2012-01-23 03:35:23

Re: prime number power residues and/or indices

#65 2012-01-23 04:05:15

Re: prime number power residues and/or indices

#66 2012-01-23 04:06:41

Re: prime number power residues and/or indices

#67 2012-01-23 04:11:09

Re: prime number power residues and/or indices

#68 2012-01-23 04:15:13

Re: prime number power residues and/or indices

#69 2012-01-23 04:17:02

Re: prime number power residues and/or indices

#70 2012-01-23 04:18:29

Re: prime number power residues and/or indices

#71 2012-01-23 04:21:09

Re: prime number power residues and/or indices

#72 2012-01-23 04:31:01

Re: prime number power residues and/or indices

#73 2012-01-23 04:32:07

Re: prime number power residues and/or indices

#74 2012-01-23 04:34:55

Re: prime number power residues and/or indices

#75 2012-01-23 04:36:16

Re: prime number power residues and/or indices

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