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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1589.0. "Trivia about digits in powers of digits" by CIV009::LYNN (Lynn Yarbrough @WNP DTN 427-5663) Wed Apr 01 1992 17:34

Curiosa:

2^51 = 2251799813685248 is the smallest power of two that contains all the 
	nonzero digits.
2^68 = 295147905179352825856 is the smallest power of 2 that contains all
	10 digits. 

3^39 = 4052555153018976267 is the smallest power of 3 with 0..9 (or 1..9)

4^34 = 2^68 (see above) ...

5^18 = 3814697265625 has 1..9

5^19 = 19073486328125 has 0..9

6^20 = 3656158440062976 has 0..9

7^19 = 1628413597910449 has 0..9

8^17 = 2^51 (see above)

8^28 = 19342813113834066795298816 has 0..9

9^24 = 79766443076872509863361 has 0..9

Also,

2^29 = 536870912 is the largest power of a digit with no repeated digits

T.RTitleUserPersonal
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1589.1relations between digitsSTAR::ABBASIi^(-i) = SQRT(exp(PI))Wed Apr 01 1992 19:2813
    >4^34 = 2^68 (see above) ...
    
    what is the relation between these digits?
    
    
    multiply the digits of the left hand side , that is half the
    multiplications of digits on the right hand side
    
    4*3*4 = 1/2 (2*6*8)
    
    humm..