Special whole numbers... - Page 8

Uncwilly · 2003-08-21, 20:58

6227020787 was 13! - 13, but 13* (12! - 1) works too....

again: 99999999899999999

nomadicus · 2003-08-24, 00:47

Quote:

Originally Posted by Uncwilly

6227020787 was 13! - 13, but 13* (12! - 1) works too....

again: 99999999899999999

There is nothing sneaky about this one. It is rather plain.

ewmayer · 2003-08-25, 20:44

Quote:

Originally Posted by nomadicus

Quote:

Originally Posted by Uncwilly

6227020787 was 13! - 13, but 13* (12! - 1) works too....

again: 99999999899999999

There is nothing sneaky about this one. It is rather plain.

Hmm...besides the fact that it's = 10^17-10^9-1, it factors into 107*934579438317757, i.e. the smallest factor is the exponent of the eleventh Mersenne prime. But I feel that's a bit of a reach - care to throw us a little hint, nomadicus?

Uncwilly · 2003-08-25, 20:57

99999999899999999= 8 9's, 1 8 (in the ninth spot), and 8 9's

Was that the idea?

cheesehead · 2003-08-25, 21:05

... and it's palindromic, which we all noticed but didn't think to say until now, with the number of 9's on each side equal to the middle digit, which is beginning to verge on special ...

Hmm ... to summarize: 99999999899999999 is palindromic, with the number of 9's on each side equal to the middle digit 8, and equals 107 * 934579438317757, where the smaller factor 107 is the exponent of the eleventh Mersenne prime ... and 11 is the smallest prime larger than 8 ....

THAT'S IT! nomadicus IS TELLING US THAT 2^934579438317757 - 1 IS NOT ONLY PRIME BUT ALSO PALINDROMIC IN BOTH BASE 8 AND BASE 11 !!!! WOW!! Way to go, nomadicus!

cheesehead · 2003-08-25, 21:11

Oh, wait ... that would be sneaky, but nomadicus said there's nothing sneaky about it, and besides, 2^934579438317757 - 1 can't be palindromic in base 8.

Uncwilly, it's your turn to specify another special number.

ewmayer · 2003-08-25, 21:20

Quote:

Originally Posted by cheesehead

Oh, wait ... that would be sneaky, but nomadicus said there's nothing sneaky about it.

Yes, but that might just be nomadicus being sneaky and trying to mislead us.

cheesehead · 2003-08-25, 21:28

Oh. Yeah.

Uncwilly, hold on ... er, off ... a moment.

(Ever notice how "hold on" and "hold off" can almost be synonymous in some contextx?)

ewmayer · 2003-08-26, 00:32

Quote:

Originally Posted by cheesehead

Uncwilly, hold on ... er, off ... a moment.

(Ever notice how "hold on" and "hold off" can almost be synonymous in some contextx?)

You're putting me on...no, wait, you're putting me off.

This is all so very confusing.

Uncwilly · 2003-08-26, 01:28

20030831 subject to nomadicus's approval...... :D

cheesehead · 2003-08-26, 08:22

2003 08 31 is next Sunday, whether nomadicus approves or not.

18010101

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2003-08-21, 20:58	#78
Uncwilly 6809 > 6502 """"""""""""""""""" Aug 2003 101×103 Posts 2³·1,223 Posts	6227020787 was 13! - 13, but 13* (12! - 1) works too.... again: 99999999899999999

2003-08-25, 20:57	#81
Uncwilly 6809 > 6502 """"""""""""""""""" Aug 2003 101×103 Posts 2³·1,223 Posts	99999999899999999= 8 9's, 1 8 (in the ninth spot), and 8 9's Was that the idea?

2003-08-25, 21:05	#82
cheesehead "Richard B. Woods" Aug 2002 Wisconsin USA 2²×3×641 Posts	... and it's palindromic, which we all noticed but didn't think to say until now, with the number of 9's on each side equal to the middle digit, which is beginning to verge on special ... Hmm ... to summarize: 99999999899999999 is palindromic, with the number of 9's on each side equal to the middle digit 8, and equals 107 * 934579438317757, where the smaller factor 107 is the exponent of the eleventh Mersenne prime ... and 11 is the smallest prime larger than 8 .... THAT'S IT! nomadicus IS TELLING US THAT 2^934579438317757 - 1 IS NOT ONLY PRIME BUT ALSO PALINDROMIC IN BOTH BASE 8 AND BASE 11 !!!! WOW!! Way to go, nomadicus!

2003-08-25, 21:11	#83
cheesehead "Richard B. Woods" Aug 2002 Wisconsin USA 2²×3×641 Posts	Oh, wait ... that would be sneaky, but nomadicus said there's nothing sneaky about it, and besides, 2^934579438317757 - 1 can't be palindromic in base 8. Uncwilly, it's your turn to specify another special number.

2003-08-25, 21:28	#85
cheesehead "Richard B. Woods" Aug 2002 Wisconsin USA 2²×3×641 Posts	Oh. Yeah. Uncwilly, hold on ... er, off ... a moment. (Ever notice how "hold on" and "hold off" can almost be synonymous in some contextx?)

2003-08-26, 01:28	#87
Uncwilly 6809 > 6502 """"""""""""""""""" Aug 2003 101×103 Posts 10011000111000₂ Posts	20030831 subject to nomadicus's approval...... :D

2003-08-26, 08:22	#88
cheesehead "Richard B. Woods" Aug 2002 Wisconsin USA 2²·3·641 Posts	2003 08 31 is next Sunday, whether nomadicus approves or not. 18010101