Message Boards Message Boards

7
|
24357 Views
|
4 Replies
|
24 Total Likes
View groups...
Share
Share this post:

Happy New Palindromic Year 11111011111 !

Very nice palindromic binary year for everybody!

IntegerDigits[2015, 2]

{1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1}

4 Replies

It is also a Lucas-Carmichel number.

n = 2015;
factors = FactorInteger[n][[All, 1]];
AllTrue[factors + 1, Divisible[n + 1, #] &]

True

See this link: Lucas–Carmichael number

-adk-

POSTED BY: Abdul Dakkak
POSTED BY: Todd Rowland

It's (trivially) a palindrome in any base >= 2016..

POSTED BY: Daniel Lichtblau

I noticed another interesting coincidence (?) about "2015":

which are:

  • 2015 (base 11) converted to base 10 is 2678.
  • 2015 (base 10) converted to base 9 is 2678.

Well, these have actually been in alignment since the year 2010, when both computations yielded 2673, but did anyone notice before?

POSTED BY: Andrew Walters
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract