mersenneforum.org Happy 2*2*503!
 Register FAQ Search Today's Posts Mark Forums Read

 2012-01-01, 11:24 #1 10metreh     Nov 2008 2·33·43 Posts Happy 2*2*503! Happy New Year everyone!
 2012-01-02, 19:11 #2 ATH Einyen     Dec 2003 Denmark 2×13×109 Posts Happy New Year! 2012 = 29 + 113 + 132 = 1 + 28 + 33 + 123 = 1 + 113 + 142 + 222 = 22 + 63 + 82 + 123 = 24 + 35 + 36 + 45 Last fiddled with by ATH on 2012-01-02 at 19:12
 2012-01-02, 19:38 #3 Batalov     "Serge" Mar 2008 Phi(3,3^1118781+1)/3 3×31×97 Posts 2012 is palindromic in bases 14, 17 and 30. Happy New Year! and surely in bases 502, 1005, 2011 or any b>2012 :-) Last fiddled with by Batalov on 2012-01-02 at 19:51
 2012-01-02, 20:41 #4 ATH Einyen     Dec 2003 Denmark 2·13·109 Posts Here are some with the same exponent: 2012 = 22+62+262+362 = 22+102+122+422 = 32+72+272+352 = 52+132+272+332 = 62+142+222+362 22012-1 = 3*5*6037*10061*5798167517*350862114989 * (2503-1) * C424 2503-1 = 3213684984979279*12158987054135300783*1873030665061080894263*357801561527383951750371336247776228772287580084037416747290336593974702826921943012497755232377 Last fiddled with by ATH on 2012-01-02 at 20:41
2012-01-02, 20:52   #5
Batalov

"Serge"
Mar 2008
Phi(3,3^1118781+1)/3

3×31×97 Posts

Quote:
 Originally Posted by ATH 22012-1 = 3*5*6037*10061*5798167517*350862114989 * (2503-1) * C424
...but 2^1006+1 admits an Aurifeuillian factorization, so...

2012-01-04, 11:29   #6
davieddy

"Lucan"
Dec 2006
England

2·3·13·83 Posts

Quote:
 Originally Posted by 10metreh Happy New Year everyone!

Us Brits (Tom, Paul and me) are in the process of organizing a piss-up in the brewery ATM, with predictably little success.

I'm sure You, Flatlander and Lavalamp (to name but three) would be welcome as well.

David

 Similar Threads Thread Thread Starter Forum Replies Last Post Andi47 Lounge 4 2010-01-13 07:56 Andi47 Lounge 15 2010-01-02 01:11 petrw1 PrimeNet 1 2009-05-07 16:31 ixfd64 Lounge 30 2008-03-15 19:28 TTn 15k Search 1 2006-03-22 23:55

All times are UTC. The time now is 14:12.

Fri May 29 14:12:14 UTC 2020 up 65 days, 11:45, 1 user, load averages: 2.17, 2.48, 2.46