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41
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41 is a prime number.
Contents
- 1 Membership in core sequences
- 2 Sequences pertaining to 41
- 3 Partitions of 41
- 4 Roots and powers of 41
- 5 Logarithms and 41st powers
- 6 Values for number theoretic functions with 41 as an argument
- 7 Factorization of some small integers in a quadratic integer ring adjoining the square roots of −41, 41
- 8 Factorization of 41 in some quadratic integer rings
- 9 Representation of 41 in various bases
- 10 See also
Membership in core sequences
Odd numbers | ..., 35, 37, 39, 41, 43, 45, 47, ... | A005408 |
Prime numbers | ..., 29, 31, 37, 41, 43, 47, 53, ... | A000040 |
Squarefree numbers | ..., 37, 38, 39, 41, 42, 43, 46, ... | A005117 |
Numerators of continued fraction convergents to | 1, 1, 3, 7, 17, 41, 99, 239, 577, ... | A001333 |
In Pascal's triangle, 41 occurs twice.
Sequences pertaining to 41
Multiples of 41 | 0, 41, 82, 123, 164, 205, 246, 287, 328, 369, 410, 451, 492, ... | |
sequence beginning at 27 | 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, ... | A008884 |
Partitions of 41
There are 44583 partitions of 41. Of these, [FINISH WRITING]
Roots and powers of 41
In the table below, irrational numbers are given truncated to eight decimal places.
6.40312423 | A010495 | 41^{ 2} | 1681 | |
3.44821724 | A010612 | 41^{ 3} | 68921 | |
2.53043953 | A011035 | 41^{ 4} | 2825761 | |
2.10163247 | A011126 | 41^{ 5} | 115856201 | |
1.85693759 | 41^{ 6} | 4750104241 | ||
1.69979948 | 41^{ 7} | 194754273881 | ||
1.59073553 | 41^{ 8} | 7984925229121 | ||
1.51076949 | 41^{ 9} | 327381934393961 | ||
1.44970082 | 41^{ 10} | 13422659310152401 | ||
A009985 |
Logarithms and 41st powers
REMARKS
TABLE
Values for number theoretic functions with 41 as an argument
TABLE GOES HERE
Factorization of some small integers in a quadratic integer ring adjoining the square roots of −41, 41
[FINISH WRITING]
Factorization of 41 in some quadratic integer rings
PLACEHOLDER
TABLE GOES HERE
Representation of 41 in various bases
Base | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Representation | 101001 | 1112 | 221 | 131 | 105 | 56 | 51 | 45 | 41 | 38 | 35 | 32 | 2D | 2B | 29 | 27 | 25 | 23 | 21 |
See also
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 |
30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 |
40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 |
1729 |