Special whole numbers... - Page 5

MV_ · 2003-08-14, 19:32

130816 is a perfect number

1233

NickGlover · 2003-08-14, 21:44

Quote:

Originally Posted by MV_

130816 is a perfect number

No it's not. 130816 = (2^8)*((2^9)-1), but since (2^9)-1 is not a mersenne prime, 130816 is not perfect.

1233 (again)

ewmayer · 2003-08-14, 23:44

Quote:

Originally Posted by smh

130816

Number of elements of GF(2^19) with trace 0 and subtrace 0.
(cf. sequence A038518 in Neil J. Sloane's database of integer sequences.)

ewmayer · 2003-08-14, 23:59

Quote:

Originally Posted by NickGlover

1233

The year of establishment of the Inquisition?

Somehow that doesn't seem very number-theoretic, so I'm going to wait for other people's proposals before giving any new numbers.

cheesehead · 2003-08-15, 03:25

Hey! "area code for Astana, Kazakhstan" is not a good-enough reason for 83172 to be special!

83172

eepiccolo · 2003-08-15, 15:17

83172= 239*2*29*3*2. Without the '*', 23922932 is a palindrome.

Now then, to address the following:

Quote:

Originally Posted by ewmayer

Quote:

Originally Posted by NickGlover

1233

The year of establishment of the Inquisition?

Somehow that doesn't seem very number-theoretic, so I'm going to wait for other people's proposals before giving any new numbers.

If you look at the first number:

Quote:

Originally Posted by Xyzzy

7 wonders of the ancient world...

You see that the property in to way needs to be number-theoretic. Anyway..

120

dswanson · 2003-08-15, 16:15

120 = 5!

-1

Xyzzy · 2003-08-15, 16:16

I think it is cool when we get multiple answers... Both ordinary and number theory answers are encouraged!

-1

Uncwilly · 2003-08-15, 16:44

-1=i^2

8675309 :(

dswanson · 2003-08-15, 17:20

8675309 = Jenny's phone number (Thanks. Now I'm going to have that silly song stuck in my head the rest of the day :( )

13

Uncwilly · 2003-08-15, 17:43

It is also prime and has other nice features: http://primes.utm.edu/curios/page.php?number_id=548

Again: 13 (my fave number too.)

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2003-08-14, 19:32	#45
MV_ Jun 2003 2 Posts	130816 is a perfect number 1233

2003-08-15, 03:25	#49
cheesehead "Richard B. Woods" Aug 2002 Wisconsin USA 7692₁₀ Posts	Hey! "area code for Astana, Kazakhstan" is not a good-enough reason for 83172 to be special! 83172

2003-08-15, 16:15	#51
dswanson Aug 2002 2³·5² Posts	120 = 5! -1

2003-08-15, 16:16	#52
Xyzzy "Mike" Aug 2002 2⁵·257 Posts	I think it is cool when we get multiple answers... Both ordinary and number theory answers are encouraged! -1

2003-08-15, 16:44	#53
Uncwilly 6809 > 6502 """"""""""""""""""" Aug 2003 101×103 Posts 5×19×103 Posts	-1=i^2 8675309 :(

2003-08-15, 17:20	#54
dswanson Aug 2002 2³×5² Posts	8675309 = Jenny's phone number (Thanks. Now I'm going to have that silly song stuck in my head the rest of the day :( ) 13

2003-08-15, 17:43	#55
Uncwilly 6809 > 6502 """"""""""""""""""" Aug 2003 101×103 Posts 9785₁₀ Posts	It is also prime and has other nice features: http://primes.utm.edu/curios/page.php?number_id=548 Again: 13 (my fave number too.)