Magic constant: Difference between revisions
Added Lua version
m (Minor code improvement.) |
(Added Lua version) |
||
Line 954:
10^20 5848036
</pre>
=={{header|Lua}}==
<syntaxhighlight lang="lua">function magic (x)
return x * (1 + x^2) / 2
end
print("Magic constants of orders 3 to 22:")
for i = 3, 22 do
io.write(magic(i) .. " ")
end
print("\n\nMagic constant 1003: " .. magic(1003) .. "\n")
print("Orders of smallest magic constant greater than...")
print("-----\t-----\nValue\tOrder\n-----\t-----")
local order = 1
for i = 1, 20 do
repeat
order = order + 1
until magic(order) > 10 ^ i
print("10^" .. i, order)
end</syntaxhighlight>
{{out}}
<pre>Magic constants of orders 3 to 22:
15 34 65 111 175 260 369 505 671 870 1105 1379 1695 2056 2465 2925 3439 4010 4641 5335
Magic constant 1003: 504514015
Orders of smallest magic constant greater than...
----- -----
Value Order
----- -----
10^1 3
10^2 6
10^3 13
10^4 28
10^5 59
10^6 126
10^7 272
10^8 585
10^9 1260
10^10 2715
10^11 5849
10^12 12600
10^13 27145
10^14 58481
10^15 125993
10^16 271442
10^17 584804
10^18 1259922
10^19 2714418
10^20 5848036</pre>
=={{header|Mathematica}}/{{header|Wolfram Language}}==
| |||