How many perfect odd numbers exist?

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It is unknown whether there is any odd perfect number, though various results have been obtained. In 1496, Jacques Lefèvre stated that Euclid's rule gives all perfect numbers,[18] thus implying that no odd perfect number exists. Euler stated: "Whether (...) there are any odd perfect numbers is a most difficult question". More recently, Carl Pomerance has presented a heuristic argument suggesting that indeed no odd perfect number should exist. All perfect numbers are also Ore's harmonic numbers, and it has been conjectured as well that there are no odd Ore's harmonic numbers other than 1.
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Answers by country

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answers
flagthe Netherlands
0%
0%
0%
100%
14
flagFrance
20%
0%
0%
80%
10
flagRepublic of Ireland
7%
15%
7%
69%
13
flagIndia
9%
15%
7%
65%
52
flagGermany
8%
17%
7%
63%
388
flagAustralia
0%
31%
0%
63%
19
flagPoland
13%
19%
9%
56%
2597
flagAustria
13%
17%
12%
56%
73
flagthe United States
8%
17%
19%
54%
68
flagSwitzerland
9%
30%
2%
54%
42
flagthe United Kingdom
17%
25%
8%
48%
70
flagSpain
27%
18%
9%
45%
11
flagGreece
36%
9%
9%
45%
11
flagCanada
27%
27%
9%
36%
11