Changes: 41

Revision as of 11:37, 5 July 2016

41

Basic Information

Cardinal Number

forty-one

Ordinal Number

forty first

Roman Numeral

XLI

Greek Numeral

ΜΑ´

Factorization

41

Standard Form

4.1 × 10¹

Different Representations

Binary Form

101001₂

Ternary Form

1112₃

Quaternary Form

221₄

Quinary Form

131₅

Senary Form

105₆

Septenary Form

56₇

Octal Form

51₈

Nonary Form

45₉

Undecimal Form

38₁₁

Duodecimal Form

35₁₂

Tridecimal Form

32₁₃

Quattuordecimal Form

2D₁₄

Quindecimal Form

2B₁₅

Hexadecimal Form

29₁₆

Septendecimal Form

27₁₇

Octodecimal Form

25₁₈

Novemdecimal Form

23₁₉

Vigesimal Form

21₂₀

Unvigesimal Form

1K₂₁

Duovigesimal Form

1J₂₂

Trevigesimal Form

1I₂₃

Quattuorvigesimal Form

1H₂₄

Quinvigesimal Form

1G₂₅

Hexavigesimal Form

1F₂₆

Septenvigesimal Form

1E₂₇

Octovigesimal Form

1D₂₈

Novemvigesimal Form

1C₂₉

Trigesimal Form

1B₃₀

Untrigesimal Form

1A₃₁

Duotrigesimal Form

19₃₂

Tretrigesimal Form

18₃₃

Quattuortrigesimal Form

17₃₄

Quintrigesimal Form

16₃₅

Hexatrigesimal Form

15₃₆

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37	41	43

41 is a prime number from 1-100. 41 has 2 factors, 1 and 41. It is the thirteenth prime number, and the thirteenth prime number from 1-100.

Proofs

— 41 can be divided by 1.

— 41 cannot be divided by 2-40.

— 41 can be divided by 41.

Therefore, 41 has 2 factors.

As an Exponent of Mersenne Number

2⁴¹ - 1, which is the number 2,199,023,255,551, is divisible by 13,367, and therefore not a prime number.

Relationship with other odd numbers

The numbers before

The previous odd number, 39, is not a prime number. It is divisible by 3 and 13.
The odd number previous to 39 is 37. 37 is a prime number.
- 37 and 41 are four numbers apart; therefore, they are cousin primes.
The odd number previous to 37 is 35. 35 is not a prime number. It is divisible by 5 and 7.

The numbers after

The next odd number, 43, is a prime number.
- There are no odd numbers between 41 and 43. As a result, they are twin primes.
45, the odd number following 43, is not a prime number. It is divisible by 5 and 9.
47, the odd number following 45, is a prime number.
- 41 and 47 are six numbers apart; therefore, they are sexy primes.

Prime Numbers 1-1,000

1-100
1-25	2 • 3 • 5 • 7 • 11 • 13 • 17 • 19 • 23
26-50	29 • 31 • 37 • 41 • 43 • 47
51-75	53 • 59 • 61 • 67 • 71 • 73
76-100	79 • 83 • 89 • 97

101-200
101-125	101 • 103 • 107 • 109 • 113
126-150	127 • 131 • 137 • 139 • 149
151-175	151 • 157 • 163 • 167 • 173
176-200	179 • 181 • 191 • 193 • 197 • 199

201-400
201-250	211 • 223 • 227 • 229 • 233 • 239 • 241
250-300	251 • 257 • 263 • 269 • 271 • 277 • 281 • 283 • 293
301-350	307 • 311 • 313 • 317 • 331 • 337 • 347 • 349
351-400	353 • 359 • 367 • 373 • 379 • 383 • 389 • 397

401-600
401-450	401 • 409 • 419 • 421 • 431 • 433 • 439 • 443 • 449
450-500	457 • 461 • 463 • 467 • 479 • 487 • 491 • 499
501-550	503 • 509 • 521 • 523 • 541 • 547
551-600	557 • 563 • 569 • 571 • 577 • 587 • 593 • 599

601-800
601-650	601 • 607 • 613 • 617 • 619 • 631 • 641 • 643 • 647
651-700	653 • 659 • 661 • 673 • 677 • 683 • 691
701-750	701 • 709 • 719 • 727 • 733 • 739 • 743
751-800	751 • 757 • 761 • 769 • 773 • 787 • 797

801-1,000
801-850	809 • 811 • 821 • 823 • 827 • 829 • 839
851-900	853 • 857 • 859 • 863 • 877 • 881 • 883 • 887
901-950	907 • 911 • 919 • 929 • 937 • 941 • 947
951-1000	953 • 967 • 971 • 977 • 983 • 991 • 997

@@ Line 7: / Line 7: @@
 |cardinal-number = forty-one
 |Base-2 Form = 101001
-|Base-3 Form = 1112
-|Base-4 Form = 221
-|Base-5 Form = 131
-|Base-6 Form = 105
-|Base-7 Form = 56
 |Base-8 Form = 51
-|Base-9 Form = 45
 |Base-16 Form = 29
-|previous = [[37|<font color="white">37</font>]]
+|previous = 37
+|next = 43|standard-form = 4.1{{E|1}}}}
-|next = [[43|<font color="white">43</font>]]}}41 is a [http://prime-numbers.wikia.com/wiki/1-100 prime number from 1-100]. 41 has 2 factors, 1 and 41. It is the thirteenth prime number, and the thirteenth prime number from 1-100.[[File:41.png|thumb]]
+is a [[1-100|prime number from 1-100]]. 41 has 2 factors, 1 and 41. It is the thirteenth prime number, and the thirteenth prime number from 1-100.[[File:41.png|thumb]]
 ==Proofs==
-*{{Divisibility number|Yes|1}}
+*{{Divisibility number|Yes|1.}}
-*{{Divisibility number|No|2-40}}
+*{{Divisibility number|No|2-40.}}
-*{{Divisibility number|Yes|41}}
+*{{Divisibility number|Yes|41.}}
+*Therefore, {{PAGENAME}} has 2 factors.
+==As an Exponent of Mersenne Number==
+<sup>41</sup> - 1, which is the number 2,199,023,255,551, is divisible by [[13,367]], and therefore not a prime number.
 ==Relationship with other odd numbers==
 ===The numbers before===
-*The previous odd number, 39, is not a prime number. It is divisible by 3 and 11.
+*The previous odd number, 39, is not a prime number. It is divisible by 3 and 13.
 *The odd number previous to 39 is 37. 37 is a prime number.
 **37 and 41 are four numbers apart; therefore, they are cousin primes.
@@ Line 40: / Line 40: @@
 [[Category:Twin Primes]]
 [[Category:Sexy Primes]]
-[[Category:Factorial Primes]]
+[[Category:Cousin Primes]]
+[[Category:Chen Primes]]
+[[Category:Multiplicative Persistence 1]]