Powerful numbers: Difference between revisions
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a = genkpowerful(10^k, k) |
a = genkpowerful(10^k, k) |
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len = length(a) |
len = length(a) |
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print("The set of k-powerful numbers between 1 and 10^$k has $len members:\n[") |
print("The set of $k-powerful numbers between 1 and 10^$k has $len members:\n[") |
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for i in [1:5 ; len-5:len] |
for i in [1:5 ; len-5:len] |
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print(a[i], i == 5 ? " ... " : i == len ? "]\n" : ", ") |
print(a[i], i == 5 ? " ... " : i == len ? "]\n" : ", ") |
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</lang>{{out}} |
</lang>{{out}} |
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<pre> |
<pre> |
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The set of |
The set of 2-powerful numbers between 1 and 10^2 has 14 members: |
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[1, 4, 8, 9, 16 ... 36, 49, 64, 72, 81, 100] |
[1, 4, 8, 9, 16 ... 36, 49, 64, 72, 81, 100] |
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The set of |
The set of 3-powerful numbers between 1 and 10^3 has 20 members: |
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[1, 8, 16, 27, 32 ... 512, 625, 648, 729, 864, 1000] |
[1, 8, 16, 27, 32 ... 512, 625, 648, 729, 864, 1000] |
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The set of |
The set of 4-powerful numbers between 1 and 10^4 has 25 members: |
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[1, 16, 32, 64, 81 ... 4096, 5184, 6561, 7776, 8192, 10000] |
[1, 16, 32, 64, 81 ... 4096, 5184, 6561, 7776, 8192, 10000] |
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The set of |
The set of 5-powerful numbers between 1 and 10^5 has 32 members: |
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[1, 32, 64, 128, 243 ... 62208, 65536, 69984, 78125, 93312, 100000] |
[1, 32, 64, 128, 243 ... 62208, 65536, 69984, 78125, 93312, 100000] |
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The set of |
The set of 6-powerful numbers between 1 and 10^6 has 38 members: |
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[1, 64, 128, 256, 512 ... 531441, 559872, 746496, 823543, 839808, 1000000] |
[1, 64, 128, 256, 512 ... 531441, 559872, 746496, 823543, 839808, 1000000] |
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The set of |
The set of 7-powerful numbers between 1 and 10^7 has 46 members: |
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[1, 128, 256, 512, 1024 ... 6718464, 7558272, 8388608, 8957952, 9765625, 10000000] |
[1, 128, 256, 512, 1024 ... 6718464, 7558272, 8388608, 8957952, 9765625, 10000000] |
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The set of |
The set of 8-powerful numbers between 1 and 10^8 has 52 members: |
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[1, 256, 512, 1024, 2048 ... 53747712, 60466176, 67108864, 80621568, 90699264, 100000000] |
[1, 256, 512, 1024, 2048 ... 53747712, 60466176, 67108864, 80621568, 90699264, 100000000] |
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The set of |
The set of 9-powerful numbers between 1 and 10^9 has 59 members: |
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[1, 512, 1024, 2048, 4096 ... 544195584, 644972544, 725594112, 816293376, 967458816, 1000000000] |
[1, 512, 1024, 2048, 4096 ... 544195584, 644972544, 725594112, 816293376, 967458816, 1000000000] |
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The set of |
The set of 10-powerful numbers between 1 and 10^10 has 68 members: |
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[1, 1024, 2048, 4096, 8192 ... 6530347008, 7739670528, 8589934592, 8707129344, 9795520512, 10000000000] |
[1, 1024, 2048, 4096, 8192 ... 6530347008, 7739670528, 8589934592, 8707129344, 9795520512, 10000000000] |
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The count of 2-powerful numbers from 1 to 10^j for j in 0:11 is: [1, 4, 14, 54, 185, 619, 2027, 6553, 21044, 67231, 214122, 680330] |
The count of 2-powerful numbers from 1 to 10^j for j in 0:11 is: [1, 4, 14, 54, 185, 619, 2027, 6553, 21044, 67231, 214122, 680330] |
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