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A294665 Numbers n such that the largest digit of n^3 is 5. 6

%I #4 Nov 13 2017 22:05:58

%S 5,8,50,74,80,81,107,171,177,237,351,378,468,487,500,605,684,737,740,

%T 800,810,1064,1070,1271,1311,1365,1474,1605,1645,1710,1724,1758,1770,

%U 2247,2364,2370,2474,2485,2824,2885,2925,3247,3510,3780,4680,4718,4870,4934,5000,5247

%N Numbers n such that the largest digit of n^3 is 5.

%C For any term a(n), all numbers of the form a(n)*10^k, k >= 0, are in this sequence. Primitive terms, i.e., not of this form (or equivalently: without trailing '0'), are 5, 8, 74, 81, 107, 171, 177, 237, 351, 378, 468, 487, 605, 684, 737, 1064, 1271, 1311, 1365, 1474, 1605, 1645, 1724, 1758, ...

%e 8 is in the sequence because the largest digit of 8^3 = 512 is 5.

%o (PARI) for(n=1,2e8, vecmax(digits(n^3))==5&&print1(n","))

%Y Cf. A295025 (the corresponding cubes), A278937 and A294664 (same for digit 3 and 4).

%Y Cf. A000578 (the cubes).

%K nonn,base

%O 1,1

%A _M. F. Hasler_, Nov 12 2017

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Last modified April 24 17:20 EDT 2024. Contains 371962 sequences. (Running on oeis4.)