第一題
http://www.google.com/search?cli ... a&ie=utf-8&oe=utf-8
我用google找的,還有很多組
105263157894736842×2=210526315789473684.
157894736842105263×2=315789473684210526.
210526315789473684×2=421052631578947368.
263157894736842105×2=526315789473684210.
315789473684210526×2=631578947368421052.
368421052631578947×2=736842105263157894.
421052631578947368×2=842105263157894736.
473684210526315789×2=947368421052631578.
第二題
1989AIME第9題點題號可以看網友的討論
http://www.artofproblemsolving.c ... 82&cid=45&year=1989
題目的數字都乘3倍就是板中這題
2010.12.19補充
\( 27^5 + 84^5 + 110^5 + 133^5 = 144^5 \)
原來是尤拉的一個猜想
http://en.wikipedia.org/wiki/Euler's_sum_of_powers_conjecture
A Counterexample to Euler's Sum of Powers Conjecture
By L. J. Lander and T. R. Parkin
http://www.google.com/search?cli ... erexamples+to+Euler
http://www.ams.org/journals/mcom ... -1967-0220669-3.pdf
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本帖最後由 bugmens 於 2010-12-19 09:10 AM 編輯 ]
