#number theory problem
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How many 5 digit whole positive numbers
5 1 digit numbers or infinitely 5 digit numbers
so like 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1 ?
I'm asking what you mean
ah
wait
so
5 digits
whose sum should equal its product
don't think there are that many
just like 2
and then their permutations
0, 0, 0, 0, 0
1, 1, 1, 2, 5
1, 1, 1, 3, 3
1, 1, 1, 5, 2
1, 1, 2, 1, 5
1, 1, 2, 2, 2
1, 1, 2, 5, 1
1, 1, 3, 1, 3
1, 1, 3, 3, 1
1, 1, 5, 1, 2
1, 1, 5, 2, 1
1, 2, 1, 1, 5
1, 2, 1, 2, 2
1, 2, 1, 5, 1
1, 2, 2, 1, 2
1, 2, 2, 2, 1
1, 2, 5, 1, 1
1, 3, 1, 1, 3
1, 3, 1, 3, 1
1, 3, 3, 1, 1
1, 5, 1, 1, 2
1, 5, 1, 2, 1
1, 5, 2, 1, 1
2, 1, 1, 1, 5
2, 1, 1, 2, 2
2, 1, 1, 5, 1
2, 1, 2, 1, 2
2, 1, 2, 2, 1
2, 1, 5, 1, 1
2, 2, 1, 1, 2
2, 2, 1, 2, 1
2, 2, 2, 1, 1
2, 5, 1, 1, 1
3, 1, 1, 1, 3
3, 1, 1, 3, 1
3, 1, 3, 1, 1
3, 3, 1, 1, 1
5, 1, 1, 1, 2
5, 1, 1, 2, 1
5, 1, 2, 1, 1
5, 2, 1, 1, 1
right lmao
proof by exhaustion