Please provide the smallest positive base 10 integer, and list its prime factors such that the concatenation of
its prime factors includes all 10 decimal digits exactly once.
for n=10000000:99999999
s=erase(join(string(factor(n)))," ");
if strlength(s)==10
ct=zeros(1,10);
for i=1:10
p=double(substr(s,i))+1;
ct(p)=ct(p)+1;
if ct(p)>1
break
end
end
if ct(p)==1
disp(n)
factor(n)
disp(s)
end
end
end
shows (edited a bit)
15,618,090
=
2 * 3 * 5 * 487 * 1069
If there are any 7-digit numbers with this property we missed them as we started with 8-digit numbers.
Well, I went back and did the 7-digit numbers, by starting with
for n=1000000:9999999
No solutions were found.
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Posted by Charlie
on 2020-10-15 10:39:46 |
computer solution -- spoiler
