WON TOPIC 107

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[ July 9, 2001 ]
Ninedigital 'Kordemsky' Divisions
Complete list from Preon

Boris A. Kordemsky is the author of a very popular math puzzle book
called “The Moscow Puzzles” and poses many problems with solutions.
The topic in this WONplate originates from his Puzzle 347 (c).

Preon calculated ALL possible solutions and so this is an exhaustive list
up to quotient 9 and with 5 digits long numerators.
Note : All numerators are composite.
Prime denominators occur only if quotient is 8.

See also Michael Winckler's Puzzle No.121
Problem 121.html
Solution 121.html

Trotter Math - Digital Diversions

Quotient N/D = 2 (Total = 12)
13458 / 6729 13584 / 6792 13854 / 6927 14538 / 7269 14586 / 7293 14658 / 7329 15384 / 7692 15846 / 7923 15864 / 7932 18534 / 9267 18546 / 9273 18654 / 9327
Quotient N/D = 3 (Total = 2)
17469 / 5823 17496 / 5832 Both numerator and denominator are divisible by 9 (noted by Preon)
Quotient N/D = 4 (Total = 4)
15768 / 3942 17568 / 4392 23184 / 5796 31824 / 7956
Quotient N/D = 5 (Total = 12)
13485 / 2697 13845 / 2769 14685 / 2937 14835 / 2967 14865 / 2973 16485 / 3297 18645 / 3729 31485 / 6297 38145 / 7629 46185 / 9237 48135 / 9627 48615 / 9723
Quotient N/D = 6 (Total = 3)
17658 / 2943 27918 / 4653 34182 / 5697
Quotient N/D = 7 (Total = 7)
16758 / 2394 18459 / 2637 31689 / 4527 36918 / 5274 37926 / 5418 41832 / 5976 53298 / 7614
Quotient N/D = 8 (Total = 46)
25496 / 3187 (D is prime) 36712 / 4589 36728 / 4591 (D is prime) 37512 / 4689 37528 / 4691 (D is prime) 38152 / 4769 41896 / 5237 (D is prime) 42968 / 5371 46312 / 5789 46328 / 5791 (D is prime) 46712 / 5839 (D is prime) 47136 / 5892 47328 / 5916 47368 / 5921 51832 / 6479 53928 / 6741 54312 / 6789 54328 / 6791 (D is prime) 54712 / 6839 56984 / 7123 58496 / 7312 58912 / 7364 59328 / 7416 59368 / 7421 63152 / 7894 63528 / 7941 65392 / 8174 65432 / 8179 (D is prime) 67152 / 8394 67352 / 8419 (D is prime) 67512 / 8439 71456 / 8932 71536 / 8942 71624 / 8953 71632 / 8954 73248 / 9156 73264 / 9158 73456 / 9182 74528 / 9316 74568 / 9321 74816 / 9352 75328 / 9416 75368 / 9421 (D is prime) 76184 / 9523 76248 / 9531 76328 / 9541
Quotient N/D = 9 (Total = 3)
57429 / 6381 58239 / 6471 75249 / 8361

For reference goals and easy searching all the nine- & pandigitals
implicitly displayed in these topics are listed here.

Topic → 134586729, 135846792, 138546927, 145387269, 145867293, 146587329, 153847692,
158467923, 158647932, 185349267, 185469273, 186549327, 174695823, 174965832, 157683942,
175684392, 231845796, 318247956, 134852697, 138452769, 146852937, 148352967, 148652973,
164853297, 186453729, 314856297, 381457629, 461859237, 481359627, 486159723, 176582943,
279184653, 341825697, 167582394, 184592637, 316894527, 369185274, 379265418, 418325976,
532987614, 254963187, 367124589, 367284591, 375124689, 375284691, 381524769, 418965237,
429685371, 463125789, 463285791, 467125839, 471365892, 473285916, 473685921, 518326479,
539286741, 543126789, 543286791, 547126839, 569847123, 584967312, 589127364, 593287416,
593687421, 631527894, 635287941, 653928174, 654328179, 671528394, 673528419, 675128439,
714568932, 715368942, 716248953, 716328954, 732489156, 732649158, 734569182, 745289316,
745689321, 748169352, 753289416, 753689421, 761849523, 762489531, 763289541, 574296381,
582396471, 752498361

A000107

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Patrick De Geest - Belgium

- Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com