Add 13 more and post it forever.

bobbym · 2010-05-14 04:18:12

5538

ZHero · 2010-05-14 17:08:53

5551: 13×13 Magic Square with Magic Sum 5551

bobbym · 2010-05-14 18:40:06

5564

The site won't let me put in my magic square, so I will just have to explain how to make it and you will have to use your imagination.

phrontister · 2010-05-14 20:49:15

All unique sequential numbers in your magic square, ZHero!

I constructed a magic square by hand like you did, Bobby, and drew up a 5577 x 5577 unitary magic square (ie, all digits are "1", and are non-unique and non-sequential). The verification process (ie, to check the row, column and diagonal sums) took quite a while because I chose to sum all those numbers in my head, but I finally got there! And it checks out!

I'm rather loath to give out my email address, so I'll pass on getting you to send me that file, Bobby. Sorry, 'bout that, after you went to all that trouble!

Last edited by phrontister (2010-05-14 20:51:33)

bobbym · 2010-05-14 20:59:42

5590

Great work phrontister, you are going to have to tell me how you did it someday. Wunderbar!

ZHero · 2010-05-14 21:20:42

phrontister wrote:

All unique sequential numbers in your magic square, ZHero!

Ok.. But i guess that if you start with any n×n (n can be even or odd) magic square then you can change its magic sum by operating upon its numbers. However, i know that it would be really tedious to keep track of all the changes made if all the elements are operated inhomogeneously...

5603 = (3113+1331)+(31×13+13×31)+(313+131)-13×(3+1+3)

Last edited by ZHero (2010-05-14 21:35:06)

bobbym · 2010-05-14 21:31:12

5616 = 8^3 + 9^3 + 10^3 + 15^3 = 10^2 + 22^2 + 46^2 + 54^2

ZHero · 2010-05-15 20:50:59

5629 = (3×3+1+3)×(33×13+1+3)

56[sup]1[/sup] + 29[sup]1[/sup] + 1 + 3 is a Prime number.

56[sup]1[/sup] + 29[sup]4[/sup] + 1 + 3 is a Prime number.

56[sup]2[/sup] + 29[sup]1[/sup] + 1 + 3 is a Prime number.

56[sup]2[/sup] + 29[sup]3[/sup] + 1 + 3 is a Prime number.

56[sup]2[/sup] + 29[sup]5[/sup] + 1 + 3 is a Prime number.

56[sup]3[/sup] + 29[sup]1[/sup] + 1 + 3 is a Prime number.

56[sup]3[/sup] + 29[sup]2[/sup] + 1 + 3 is a Prime number.

56[sup]3[/sup] + 29[sup]3[/sup] + 1 + 3 is a Prime number.

56[sup]4[/sup] + 29[sup]1[/sup] + 1 + 3 is a Prime number.

56[sup]9[/sup] + 29[sup]9[/sup] + 1 + 3 is a Prime number.

56[sup]13[/sup] + 29[sup]1[/sup] + 1 + 3 is a Prime number.

56[sup]19[/sup] + 29[sup]1[/sup] + 1 + 3 is a Prime number.

---------------------------------------------------

56[sup]1[/sup] + 29[sup]1[/sup] + 1 - 3 is a Prime number.

56[sup]1[/sup] + 29[sup]3[/sup] + 1 - 3 is a Prime number.

56[sup]2[/sup] + 29[sup]1[/sup] + 1 - 3 is a Prime number.

56[sup]2[/sup] + 29[sup]5[/sup] + 1 - 3 is a Prime number.

56[sup]2[/sup] + 29[sup]7[/sup] + 1 - 3 is a Prime number.

56[sup]3[/sup] + 29[sup]3[/sup] + 1 - 3 is a Prime number.

56[sup]6[/sup] + 29[sup]7[/sup] + 1 - 3 is a Prime number.

56[sup]7[/sup] + 29[sup]1[/sup] + 1 - 3 is a Prime number.

---------------------------------------------------

Can You Notice Any Trend in The Above Numbers?

bobbym · 2010-05-15 21:08:04

5642

The string 5,6,4,2 first appears at:

phrontister · 2010-05-15 23:10:43

ZHero wrote:

Can You Notice Any Trend in The Above Numbers?

A trend of one exists between the size of the group of numbers above the first dotted line and that below it: the first group contains 50% more lines than the second group and has a "+" as each line's last operator instead of a "-".

I just noticed a faint, indiscernible orange splotchy blotch after each green-coloured number. Wonder if they mean anything.

Last edited by phrontister (2010-05-15 23:19:05)

bobbym · 2010-05-15 23:21:29

5668

ZHero · 2010-05-16 00:55:33

phrontister wrote:

the first group contains 50% more lines than the second group and has a "+" as each line's last operator instead of a "-".

L

phrontister wrote:

I just noticed a faint, indiscernible orange splotchy blotch after each green-coloured number. Wonder if they mean anything.

Think of them as Orange Fruits on Green Trees!
Doesn't it look like "The Cheese" to you phro ?

5681 = (13) × (13 + 3 × 1 + 1 × 3) × (13 + 3 × 3 + 1 × 1)

Last edited by ZHero (2010-05-16 01:59:22)

bobbym · 2010-05-16 04:35:34

5694 = 1^2 + 43^2 + 62^2 = 2^3 + 5^3 +7^3 + 8^3 + 11^3 + 15^3

phrontister · 2010-05-16 05:15:23

Hi ZHero,

L

You'll have to fill me in, ZHero, 'cos I don't see a trend (other than increasing powers down the lists). >blind<

Doesn't it look like "The Cheese" to you phro ?

It would have been holey Swiss cheese - if the ugly mutt in that vid had sunk its teeth into it - instead of the real cheese that Tulip had.

5681 = (13) × (13 + 3 × 1 + 1 × 3) × (13 + 3 × 3 + 1 × 1)

Last edited by phrontister (2010-05-16 12:38:36)

bobbym · 2010-05-16 05:19:04

5720 = 30^2 + 46^2 + 52^2

I thought that dog was kind of cute.

phrontister · 2010-05-16 12:31:36

bobbym wrote:

I thought that dog was kind of cute.

Is that dog in the vid yours, Bobby, and is that you speaking? No one other than the dog's owner would ever call it cute!

The product of the two inner digits (7*3) less the sum of the two outer digits (5+3) = 21-8 = 13.

Last edited by phrontister (2010-05-16 17:56:17)

bobbym · 2010-05-16 16:02:39

Hi phrontister;

Have I offended you? If so, I am sorry.

phrontister · 2010-05-16 17:13:09

No offense taken (was there some that I missed?) while you refrain from saying anything other than nice things about my adorable Tulip.

Anyway, I'm thicker than that video mutt, so you're quite safe.

I'm quite impressed with your last number offering, but am unsure about how it fits into our current post # position.

(catchup)

bobbym · 2010-05-16 17:19:27

Sorry, I copied the wrong number it is 5746. I will leave it up there as it is.

The string 5,7,7,2 first appears at:

Integer( 77 / 5) - 2 = 13

phrontister · 2010-05-16 17:50:43

Last edited by phrontister (2010-05-16 17:51:18)

bobbym · 2010-05-16 17:56:26

5+7+9 - 8 = 13

phrontister · 2010-05-16 18:34:36

Ah...I see you corrected that, Bobby. You'd first found the position of the previous number in your current number calculation.

Last edited by phrontister (2010-05-16 18:41:57)

bobbym · 2010-05-16 18:38:12

Yes, I caught that.

ZHero · 2010-05-16 19:00:41

phrontister wrote:

You'll have to fill me in, ZHero, 'cos I don't see a trend (other than increasing powers down the lists). >blind<

Nor do I

5837 = (13) × (1 + 313 + 3 + 131 + 1)

---------------------------------------------

35837 is a Prime Number.

55837 is a Prime Number.

58379 is a Prime Number.

65837 is a Prime Number.

85837 is a Prime Number.

--------------------------------------------

115837 is a Prime Number.

158371 is a Prime Number.

175837 is a Prime Number.

205837 is a Prime Number.

258373 is a Prime Number.

275837 is a Prime Number.

295837 is a Prime Number.

358373 is a Prime Number.

365837 is a Prime Number.

Can You Trace the Trend??

phrontister · 2010-05-16 20:57:17

ZHero wrote:

Can You Trace the Trend??

I think I've got it!

158507 is a Prime Number, whose digit sum is 26...which is 13 + 13.
758501 is a Prime Number, whose digit sum is 26...which is 13 + 13.
1585007 is a Prime Number, whose digit sum is 26...which is 13 + 13.
5585003 is a Prime Number, whose digit sum is 26...which is 13 + 13.

Last edited by phrontister (2010-05-16 22:04:09)

Math Is Fun Forum

#426 2010-05-14 04:18:12

Re: Add 13 more and post it forever.

#427 2010-05-14 17:08:53

Re: Add 13 more and post it forever.

#428 2010-05-14 18:40:06

Re: Add 13 more and post it forever.

#429 2010-05-14 20:49:15

Re: Add 13 more and post it forever.

#430 2010-05-14 20:59:42

Re: Add 13 more and post it forever.

#431 2010-05-14 21:20:42

Re: Add 13 more and post it forever.

#432 2010-05-14 21:31:12

Re: Add 13 more and post it forever.

#433 2010-05-15 20:50:59

Re: Add 13 more and post it forever.

#434 2010-05-15 21:08:04

Re: Add 13 more and post it forever.

#435 2010-05-15 23:10:43

Re: Add 13 more and post it forever.

#436 2010-05-15 23:21:29

Re: Add 13 more and post it forever.

#437 2010-05-16 00:55:33

Re: Add 13 more and post it forever.

#438 2010-05-16 04:35:34

Re: Add 13 more and post it forever.

#439 2010-05-16 05:15:23

Re: Add 13 more and post it forever.

#440 2010-05-16 05:19:04

Re: Add 13 more and post it forever.

#441 2010-05-16 12:31:36

Re: Add 13 more and post it forever.

#442 2010-05-16 16:02:39

Re: Add 13 more and post it forever.

#443 2010-05-16 17:13:09

Re: Add 13 more and post it forever.

#444 2010-05-16 17:19:27

Re: Add 13 more and post it forever.

#445 2010-05-16 17:50:43

Re: Add 13 more and post it forever.

#446 2010-05-16 17:56:26

Re: Add 13 more and post it forever.

#447 2010-05-16 18:34:36

Re: Add 13 more and post it forever.

#448 2010-05-16 18:38:12

Re: Add 13 more and post it forever.

#449 2010-05-16 19:00:41

Re: Add 13 more and post it forever.

#450 2010-05-16 20:57:17

Re: Add 13 more and post it forever.

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