Changes: 71

Revision as of 13:36, 5 July 2016

71

Basic Information

Cardinal Number

seventy-one

Ordinal Number

seventy first

Roman Numeral

LXXI

Greek Numeral

ΟΑ´

Factorization

71

Standard Form

7.1 × 10¹

Different Representations

Binary Form

1000111₂

Ternary Form

2122₃

Quaternary Form

1013₄

Quinary Form

241₅

Senary Form

155₆

Septenary Form

131₇

Octal Form

107₈

Nonary Form

78₉

Undecimal Form

65₁₁

Duodecimal Form

5B₁₂

Tridecimal Form

56₁₃

Quattuordecimal Form

51₁₄

Quindecimal Form

4B₁₅

Hexadecimal Form

47₁₆

Septendecimal Form

43₁₇

Octodecimal Form

3H₁₈

Novemdecimal Form

3E₁₉

Vigesimal Form

3B₂₀

Unvigesimal Form

38₂₁

Duovigesimal Form

35₂₂

Trevigesimal Form

32₂₃

Quattuorvigesimal Form

2N₂₄

Quinvigesimal Form

2L₂₅

Hexavigesimal Form

2J₂₆

Septenvigesimal Form

2H₂₇

Octovigesimal Form

2F₂₈

Novemvigesimal Form

2D₂₉

Trigesimal Form

2B₃₀

Untrigesimal Form

29₃₁

Duotrigesimal Form

27₃₂

Tretrigesimal Form

25₃₃

Quattuortrigesimal Form

23₃₄

Quintrigesimal Form

21₃₅

Hexatrigesimal Form

1Z₃₆

Previous	Current	Next
67	71	73

71 is a prime number from 1-100. 71 has 2 factors, 1 and 71. It is the twentieth prime number, and the twentieth prime number from 1-100.

Proofs

— 71 can be divided by 1.

— 71 cannot be divided by 2-70.

— 71 can be divided by 71.

As an Exponent of Mersenne Number

2⁷¹ - 1 can be divided by numbers such as 228,479 and 48,544,121, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

The previous odd number, 69, is not a prime number. It is divisible by 3.
The odd number previous to 69 is 67. 67 is a prime number.
- 67 and 71 are four numbers apart; therefore, they are cousin primes.
The odd number previous to 67 is 65. 65 is not a prime number. It is divisible by 5.

The numbers after

The next odd number, 73, is a prime number.
- There are no odd numbers between 71 and 73. As a result, they are twin primes.
75, the odd number following 73, is not a prime number. It is divisible by 5.
77, the odd number following 75, is also not a prime number. It is divisible by 7.
79 is the next prime number after 73.

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 4: / Line 4: @@
 |imagewidth = 200
 |roman-number = LXXI
+|cardinal-number = seventy-one
-|ordinal-number = sixty seventh|previous = [[67|<font color="white">67</font>]]
+|Base-2 Form = 1000111
-|next = [[73|<font color="white">73</font>]]}}
+|Base-8 Form = 107
+|Base-16 Form = 47
+|ordinal-number = seventy first
+|previous = 67
+|next = 73|standard-form = 7.1{{E|1}}}}
 is a [http://prime-numbers.wikia.com/wiki/1-100 prime number from 1-100]. 71 has 2 factors, 1 and 71. It is the twentieth prime number, and the twentieth prime number from 1-100.
-==<span style="font-size:18px;">Proofs</span>==
+==Proofs==
+*{{Divisibility number|Yes|1.}}
-*1 can divide 71
+*{{Divisibility number|No|2-70.}}
-*2 cannot
+*{{Divisibility number|Yes|{{PAGENAME}}.}}
-*3 cannot
-*4 - 70 cannot
+==As an Exponent of Mersenne Number==
-*71 can!
+<sup>71</sup> - 1 can be divided by numbers such as [[228,479]] and 48,544,121, and is therefore not a prime number.
+==Relationship with other odd numbers==
+===The numbers before===
+*The previous odd number, 69, is not a prime number. It is divisible by 3.
+*The odd number previous to 69 is 67. 67 is a prime number.
+**67 and 71 are four numbers apart; therefore, they are cousin primes.
+*The odd number previous to 67 is 65. 65 is not a prime number. It is divisible by 5.
+===The numbers after===
+*The next odd number, 73, is a prime number.
+**There are no odd numbers between 71 and 73. As a result, they are twin primes.
+*75, the odd number following 73, is not a prime number. It is divisible by 5.
+*77, the odd number following 75, is also not a prime number. It is divisible by 7.
+*79 is the next prime number after 73.
 {{Navbox_primes}}
 [[Category:Prime Numbers]]
 [[Category:Prime numbers from 1-100]]
+[[Category:2-Digit Prime Numbers]]
+[[Category:Twin Primes]]
+[[Category:Circular Primes]]
+[[Category:Cousin Primes]]
+[[Category:Chen Primes]]
+[[Category:Multiplicative Persistence 1]]