Changes: 29

Revision as of 16:23, 3 May 2018

29

Basic Information

Cardinal Number

twenty-nine

Ordinal Number

twenty ninth

Roman Numeral

XXIX

Greek Numeral

ΚΘ´

Factorization

29

Standard Form

2.9 × 10¹

Different Representations

Binary Form

11101₂

Ternary Form

1002₃

Quaternary Form

131₄

Quinary Form

104₅

Senary Form

45₆

Septenary Form

41₇

Octal Form

35₈

Nonary Form

32₉

Undecimal Form

27₁₁

Duodecimal Form

25₁₂

Tridecimal Form

23₁₃

Quattuordecimal Form

21₁₄

Quindecimal Form

1E₁₅

Hexadecimal Form

1D₁₆

Septendecimal Form

1C₁₇

Octodecimal Form

1B₁₈

Novemdecimal Form

1A₁₉

Vigesimal Form

19₂₀

Unvigesimal Form

18₂₁

Duovigesimal Form

17₂₂

Trevigesimal Form

16₂₃

Quattuorvigesimal Form

15₂₄

Quinvigesimal Form

14₂₅

Hexavigesimal Form

13₂₆

Septenvigesimal Form

12₂₇

Octovigesimal Form

11₂₈

Novemvigesimal Form

10₂₉

Trigesimal Form

T₃₀

Untrigesimal Form

T₃₁

Duotrigesimal Form

T₃₂

Tretrigesimal Form

T₃₃

Quattuortrigesimal Form

T₃₄

Quintrigesimal Form

T₃₅

Hexatrigesimal Form

T₃₆

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23	29	31

29 is a prime number from 1-100. 29 has 2 factors, 1 and 29. It is said to be another number wherein when digits are added together, they make a prime number. It is the tenth prime number, and the tenth prime number from 1-100.

Proofs

— 29 can be divided by 1.

— 29 cannot be divided by 2-28.

— 29 can be divided by 29.

Therefore 29 has 2 factors

As an Exponent of Mersenne Number

2²⁹ - 1, which is the number 536,870,911, can be factored into 233 x 1,103 x 2,089, and therefore not a prime number.

Relationship with other odd numbers

The numbers before

The previous prime number is 23. The numbers in between are composite.
- Among them, 25 is a square number, being 5² = 25.
- 27 is a cube number, being 3³ = 27.
- 23 and 29 are six numbers apart; therefore, they are sexy primes.

The numbers after

The next odd number, 31, is a prime number.
- There are no odd numbers between 29 and 31. As a result, they are twin primes.
33, the odd number following 31, is not a prime number. It is divisible by 3 and 11.
35, the odd number following 33, is also not a prime number. It is divisible by 5 and 7.

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 5: / Line 5: @@
 |roman-number = XXIX
 |ordinal-number = twenty ninth
+|cardinal-number = twenty-nine
-|previous = [[23|<font color="white">23</font>]]
+|Base-2 Form = 11101
-|next = [[31|<font color="white">31</font>]]}}29 is a [[1-100|prime number from 1-100]]. 29 has 2 factors, 1 and 29. It is said to be another number wherein when digits are added together, they make a prime number. It is the tenth prime number, and the tenth prime number from 1-100.[[File:29.png|thumb]]
+|Base-8 Form = 35
+|Base-16 Form = 1D
+|previous = 23
+|next = 31|standard-form = 2.9{{E|1}}}}
+is a [[1-100|prime number from 1-100]]. 29 has 2 factors, 1 and 29. It is said to be another number wherein when digits are added together, they make a prime number. It is the tenth prime number, and the tenth prime number from 1-100.[[File:29.png|thumb]]
 ==Proofs==
+*{{Divisibility number|Yes|1.}}
-*1 can divide 29
+*{{Divisibility number|No|2-28.}}
-*2 cannot
+*{{Divisibility number|Yes|29.}}
-*3 cannot
+*Therefore 29 has 2 factors
-*4 - 28 cannot
-*29 can, therefore 29 has 2 factors
+==As an Exponent of Mersenne Number==
+<sup>29</sup> - 1, which is the number 536,870,911, can be factored into [[233]] x [[1,103]] x [[2,089]], and therefore not a prime number.
 ==Relationship with other odd numbers==
 ===The numbers before===
-*The previous prime number is 23. The numbers in between are composite
+*The previous prime number is 23. The numbers in between are composite.
 **Among them, 25 is a square number, being 5<sup>2</sup> = 25.
 **27 is a cube number, being 3<sup>3</sup> = 27.
+**23 and 29 are six numbers apart; therefore, they are sexy primes.
 ===The numbers after===
 *The next odd number, 31, is a prime number.
-**There are no odd numbers between 23 and 29. As a result, they are twin primes.
+**There are no odd numbers between 29 and 31. As a result, they are twin primes.
 *33, the odd number following 31, is not a prime number. It is divisible by 3 and 11.
 *35, the odd number following 33, is also not a prime number. It is divisible by 5 and 7.
@@ Line 27: / Line 37: @@
 [[Category:Prime numbers from 1-100]]
 [[Category:Prime Numbers]]
+[[Category:2-Digit Prime Numbers]]
+[[Category:Twin Primes]]
+[[Category:Additive Primes]]
+[[Category:Sexy Primes]]
+[[Category:Chen Primes]]
+[[Category:Russian-doll primes]]
+[[Category:Multiplicative Persistence 2]]