All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
2 absent digits (Posted on 2020-11-28) Difficulty: 2 of 5
The product of 722*227 (163,894) contains neither 2 nor 7. List all the couples (b,c; b>c) such that the product bcc*ccb contains neither b nor c. Bonus: From the above list select couples, if any, using none of the corresponding digits in the partial products as well.

No Solution Yet Submitted by Ady TZIDON    
Rating: 2.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
soln | Comment 1 of 6

322 223  71806*   9  4  6**

722 227 163894*  49  4 14**

744 447 332568*  49 16 28

855 558 477090*  64 25 40

766 667 510922*  49 36 42


** shows partial products w/no

b,c

The code is uninteresting.

full candidate list:

100   1    100    1  0  0

200   2    400    4  0  0

300   3    900    9  0  0

400   4   1600   16  0  0

500   5   2500   25  0  0

600   6   3600   36  0  0

700   7   4900   49  0  0

800   8   6400   64  0  0

900   9   8100   81  0  0

211 112  23632    4  1  2

311 113  35143    9  1  3

411 114  46854   16  1  4

511 115  58765   25  1  5

611 116  70876   36  1  6

711 117  83187   49  1  7

811 118  95698   64  1  8

911 119 108409   81  1  9

322 223  71806*   9  4  6

422 224  94528   16  4  8

522 225 117450   25  4 10

622 226 140572   36  4 12

722 227 163894*  49  4 14

822 228 187416   64  4 16

922 229 211138   81  4 18

433 334 144622   16  9 12

533 335 178555   25  9 15

633 336 212688   36  9 18

733 337 247021   49  9 21

833 338 281554   64  9 24

933 339 316287   81  9 27

544 445 242080   25 16 20

644 446 287224   36 16 24

744 447 332568*  49 16 28

844 448 378112   64 16 32

944 449 423856   81 16 36

655 556 364180   36 25 30

755 557 420535   49 25 35

855 558 477090*  64 25 40

955 559 533845   81 25 45

766 667 510922*  49 36 42

866 668 578488   64 36 48

966 669 646254   81 36 54

877 778 682306   64 49 56

977 779 761083   81 49 63

988 889 878332   81 64 72


Edited on November 28, 2020, 7:43 am
  Posted by Steven Lord on 2020-11-28 07:38:36

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (14)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information