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perfect number

List of Mersenne Primes and Perfect Numbers

In the following Table, the values of the exponent n, the values of or the number of digits in the Mersenne primes for all the 44 ones are given.

The values of or the number of digits in the Perfect Numbers are given for the first 10 numbers and the 44th. For the remaining, you may consider the number of digits to be nearly equal to double that of Mersenne Primes.

S.No. n Mersenne Prime = (2n - 1) Perfect Number = 2(n - 1)(2n - 1) 1 2 3 6 2 3 7 28 3 5 31 496 4 7 127 8128 5 13 8191 33550336 6 17 131071 8589869056 7 19 524287 137438691328 8 31 2147483647 2305843008139952128 9 61 Has 19 digits Has 37 digits 10 89 Has 27 digits Has 54 digits 11 107 Has 33 digits
12 127 Has 39 digits
13 521 Has 157 digits
14 607 Has 183 digits
15 1,279 Has 386 digits
16 2,203 Has 664 digits
17 2,281 Has 687 digits
18 3,217 Has 969 digits
19 4,253 Has 1,281digits
20 4,423 Has 1,332 digits
21 9,689 Has 2,917 digits
22 9,941 Has 2,993 digits
23 11,213 Has 3,376 digits
24 19,937 Has 6,002 digits
25 21,701 Has 6,533 digits
26 23,209 Has 6,987 digits
27 44,497 Has 13,395 digits
28 86,243 Has 25,962 digits
29 110,503 Has 33,265 digits
30 132,049 Has 39,751 digits
31 216,091 Has 65,050 digits
32 756,839 Has 227,832 digits
33 859,433 Has 258,716 digits
34 1,257,787 Has 378,632 digits
35 1,398,269 Has 420,921 digits
36 2,976,221 Has 895,932 digits
37 3,021,377 Has 909,526 digits
38 6,972,593 Has 2,098,960 digits
39 13,466,917 Has 4,053,946 digits
40 20,996,011 Has 6,320,430 digits
41 24,036,583 Has 7,235,733 digits
42 25,964,951 Has 7,816,230 digits
43 30,402,457 Has 9,152,052 digits
44 32,582,657 Has 9,808,358 digits Has 19,616,714 digits

Note by Mudaxxar Haxxan
3 years, 1 month ago

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