Kuvvet Toplamları

59 4 + 158 4 = 133 4 + 134 4

1 5 + 6 5 + 7 5 + 17 5 + 18 5 + 23 5  = 2 5 + 3 5 + 11 5 + 13 5 +21 5 + 22 5

27 5 + 84 5 + 110 5 + 133 5 = 144 5

30 4 + 120 4 + 272 4 + 315 4 = 353 4

268244 4 + 15365639 4 + 18796760 4 = 20615673 4

95800 4 + 217519 4 + 414560 4 = 422481 4

1729 = 1 3 + 12 3= 9 3 + 10 3

87539319 = 167 3 + 436 3= 228 3 + 423 3= 255 3 + 414 3

6963472309248 = 2421 3 + 19083 3= 5436 3 + 18948 3= 10200 3 + 18072 3=13322 3 + 15530 3

6017193=166 3 + 113 3 = 180 3 + 57 3 = 185 3 – 68 3 = 209 3 – 146 3 = 246 3 – 207 3

1412774811 = 963 3 + 804 3 = 1134 3 – 357 3 = 1155 3 – 504 3 = 1246 3 – 805 3 =

21153 – 20043 = 4746 3 – 4725 3

11302198488 = 1926 3 + 1608 3 = 1939 3 + 1589 3 = 2268 3 – 714 3 = 2310 3 – 1008 3 =

2492 3 – 1610 3= 4230 3 – 4008 3= 9492 3 – 9450 3

15170835645 = 517 3 + 3468 3= 709 3 + 2456 3= 1733 3 + 2152 3

16776487 = 220 3 + 183 3= 255 3 + 58 3

Source : Unsolved problem in number theory/R.K.Guy/1994

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(2^100 + 1)^10 + 2^304 + 2^503 +2^704 = (2^100 – 1 )^10 + 2^102 + 2^104 + 2^308 + 2^509 +2^708 + 2^902 + 2^904      (^ sembölü kuvveti anlamındadır)

ve

(2^1000+1)^10 + 2^3004 + 2^5003 + 2^7004 = (2^1000-1)^10 + 2^1002+ 2^1004 + 2^3008 + 2^5009 + 2^7008 + 2^9002 + 2^9004