Add 99 more and post it forever.

mathaholic · 2013-10-05 12:50:18

64449

bobbym · 2013-10-05 13:01:52

7^3+8^3+29^3+34^3=64548

phrontister · 2013-10-05 13:15:43

64647

Jameson's (Missouri) weather 'forecast' for 'today' (5 Oct). I say 'forecast' and 'today', because for us Aussies where today is 6 Oct, that weather already happened in Jameson yesterday.

bobbym · 2013-10-05 13:33:20

16^3+21^3+29^3+30^3=64746

64 + 7 x 4 + 6 = 98 which is quite close to 99.

mathaholic · 2013-10-05 15:46:35

64845

bobbym · 2013-10-05 20:26:12

2 x 6^3 + 8^3 + 40^3 = 64944

phrontister · 2013-10-05 21:39:21

65043

Applying the Victor Borge Constant, that number becomes 76154, AND...(drum roll please)...76-1^5+4!=99

bobbym · 2013-10-05 21:52:14

18^3 + 19^3 + 27^3 + 32^3 = 65142

phrontister · 2013-10-05 22:51:32

65241

65241 occurs at position 10383 in the decimal digits of pi...AND...10+3!+83=99

bobbym · 2013-10-05 23:05:48

I liked 6 + 52 + 41 = 99 too.

phrontister · 2013-10-05 23:20:37

Yes, I liked that kind of option too, until I realised that in a 5-digit number 'abcde', all a + bc + de = 99...which is when I started to try something different.

And it looks like that applies to numbers of other lengths too (up to, but not including, 8-digit numbers), with pairings working back from the units digit. 8-digit numbers (and longer, too...but I haven't checked how far) sum to 198 (ie, 99x2) with these pairings.

65439

Last edited by phrontister (2013-10-05 23:40:51)

bobbym · 2013-10-05 23:39:30

Hi;

That is very good that you noticed that!

phrontister · 2013-10-05 23:50:52

Hi Bobby,

That shows my new multifocal contacts are working, I suppose.

65637

65637 factorises into 3x3x3x11x13x17...AND...3!x3!+3x11+13+17=99

bobbym · 2013-10-06 00:09:52

6^3 + 22^3 + 38^3 = 65736

6 + 22 + 38 = 66 which is an upside down 99.

phrontister · 2013-10-06 00:21:47

65835

65835 factorises into 3x3x5x7x11x19...AND...3x(3!-5)+7x11+19=99

bobbym · 2013-10-06 00:34:36

15^3 + 31^3 + 32^3 = 65934

phrontister · 2013-10-06 00:39:05

66033

66+0+33=99

bobbym · 2013-10-06 00:51:29

14^3 + 15^3 + 16^3 + 21^3 + 36^3 = 66132

phrontister · 2013-10-06 00:55:27

66231

Inverse[Mirror[FromDigits[Most[Most[Most[{6, 6, 2, 3, 1}]]]]]]=99

bobbym · 2013-10-06 01:14:27

66330

66 + 33 + 0 = 99

phrontister · 2013-10-06 01:47:02

66429

ImageRotate[ImageRotate[Import[Export["sixtysix.gif",FromDigits[Most[Most[Most[{6,6,4,2,9}]]]]]]]]=99

Also:

ImageReflect[ImageReflect[Import[Export["sixtysix.gif",FromDigits[Most[Most[Most[{6,6,4,2,9}]]]]]]], Left->Right]=99

Hi Bobby,

6 + 22 + 38 = 66 which is an upside down 99.

Actually, a back-to-front 66 is an upside-down 99. Pseudo 'Mirror' would fix that.

Also, I found a way (probably clunky) with imaging in M:
1. 'ImageRotate' rotates anticlockwise, but only 90° at a time (which I did twice - see above - to avoid introducing another number...which is also why I used 3 lots of 'Most'). You can specify the number of degrees or radians to get there in one go.
2. 'ImageReflect' is another option, but it needs 2 goes: a vertical flip and a horizontal flip.
My codes work in M (copy/paste).

Last edited by phrontister (2013-10-06 10:48:02)

bobbym · 2013-10-06 10:11:00

18^3 + 19^3 + 21^3 + 26^3 + 30^3 = 66528

I have seen some commands for printing in a notebook at all angles but do not remember it.

phrontister · 2013-10-06 10:37:46

Rotate[66, 180 Degree] will rotate 66 to 99.

66627

My shortened code:
Rotate[FromDigits[Take[{6,6,6,2,7}, 2]], 180 Degree]=99

Last edited by phrontister (2013-10-06 10:39:54)

bobbym · 2013-10-06 10:46:46

Hi;

You can shorten the Rotate command:

Rotate[66, \[Pi]]

9^3 + 18^3 + 24^3 + 28^3 + 29^3 = 66726

phrontister · 2013-10-06 11:07:02

Ah, yes...then I could have Rotate[FromDigits[Most[Most[Most[{6, 6, 6, 2, 7}]]]], \[Pi]], which sticks to using just the answer digits in their order. Something new I've learnt. Thanks

So your 66132 answer in post #668 could be done like this:
Rotate[FromDigits[Take[{6, 6, 1, 3}, 2]], \[Pi]]=99.

66825

66+8+25=99

Last edited by phrontister (2013-10-06 11:07:24)

Math Is Fun Forum

#651 2013-10-05 12:50:18

Re: Add 99 more and post it forever.

#652 2013-10-05 13:01:52

Re: Add 99 more and post it forever.

#653 2013-10-05 13:15:43

Re: Add 99 more and post it forever.

#654 2013-10-05 13:33:20

Re: Add 99 more and post it forever.

#655 2013-10-05 15:46:35

Re: Add 99 more and post it forever.

#656 2013-10-05 20:26:12

Re: Add 99 more and post it forever.

#657 2013-10-05 21:39:21

Re: Add 99 more and post it forever.

#658 2013-10-05 21:52:14

Re: Add 99 more and post it forever.

#659 2013-10-05 22:51:32

Re: Add 99 more and post it forever.

#660 2013-10-05 23:05:48

Re: Add 99 more and post it forever.

#661 2013-10-05 23:20:37

Re: Add 99 more and post it forever.

#662 2013-10-05 23:39:30

Re: Add 99 more and post it forever.

#663 2013-10-05 23:50:52

Re: Add 99 more and post it forever.

#664 2013-10-06 00:09:52

Re: Add 99 more and post it forever.

#665 2013-10-06 00:21:47

Re: Add 99 more and post it forever.

#666 2013-10-06 00:34:36

Re: Add 99 more and post it forever.

#667 2013-10-06 00:39:05

Re: Add 99 more and post it forever.

#668 2013-10-06 00:51:29

Re: Add 99 more and post it forever.

#669 2013-10-06 00:55:27

Re: Add 99 more and post it forever.

#670 2013-10-06 01:14:27

Re: Add 99 more and post it forever.

#671 2013-10-06 01:47:02

Re: Add 99 more and post it forever.

#672 2013-10-06 10:11:00

Re: Add 99 more and post it forever.

#673 2013-10-06 10:37:46

Re: Add 99 more and post it forever.

#674 2013-10-06 10:46:46

Re: Add 99 more and post it forever.

#675 2013-10-06 11:07:02

Re: Add 99 more and post it forever.

Board footer