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how to find the smallest taxicab number or Ramanujan number like 1729 larger than N?

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Daniel Niu
Daniel Niu 2022-10-24
评论： Daniel Niu 2022-10-24
I write a .m file to find the a b c d of a taxicab number. The program run well when the num=1729 or some other taxicab number.
But when the num is not a taxicab, the program reture a empty.
I want to know how to find the smallest number large than for example 40000 and find the a b c d
And how to find the first few of taxicab number?
a^3+b^3=c^3+d^3
Your help would be highly appreciated!
clear
format long
num=1729;
b = 1:(num)^(1/3);
a = (num-b.^3).^(1/3);
condition=round(a,10)==round(a,5);
terms = find(condition);
taxicab=round(a(terms));

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David Hill
David Hill 2022-10-24
There are so few taxicab numbers that you should just use a lookup table.
l=["2", "1729", "87539319", "6963472309248", "48988659276962496", "24153319581254312065344"];
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