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43 (number)

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 Title: 43 (number) Author: World Heritage Encyclopedia Language: English Subject: Collection: Integers Publisher: World Heritage Encyclopedia Publication Date:

43 (number)

 ← 42 43 44 →
Cardinal forty-three
Ordinal 43rd
(forty-third)
Factorization prime
Divisors 1, 43
Roman numeral XLIII
Binary 1010112
Ternary 11213
Quaternary 2234
Quinary 1335
Senary 1116
Octal 538
Duodecimal 3712
Vigesimal 2320
Base 36 1736

43 (forty-three) is the natural number following 42 and preceding 44.

Contents

• In mathematics 1
• In science 2
• Astronomy 2.1
• In sports 3
• Arts, entertainment, and media 4
• Films 4.1
• Literature 4.2
• In other fields 5
• Notes 6
• References 7

In mathematics

Forty-three is the 14th smallest prime number. The previous is forty-one, with which it comprises a twin prime, and the next is forty-seven. 43 is the smallest prime that is not a Chen prime. It is also the third Wagstaff prime.

43 is the fourth term of Sylvester's sequence, one more than the product of the previous terms (2 × 3 × 7).

43 is a centered heptagonal number.

Let a(0) = a(1) = 1, and thenceforth a(n) = (a(0)2 + a(1)2 + ... + a(n-1)2) / (n-1). This sequence continues 1 1 2 3 5 10 28 154... (sequence A003504 in OEIS). Amazingly, a(43) is the first term of this sequence that is not an integer.

43 is a Heegner number.

43 is a repdigit in base 6 (111).

43 is the largest natural number that is not a (original) McNugget number.

 4 15 17 7 5 19 13 6 20 9 2 12 14 0 11 18

This is the smallest prime number expressible as the sum of 2, 3, 4, or 5 different primes:

• 43 = 41 + 2
• 43 = 11 + 13 + 19
• 43 = 2 + 11 + 13 + 17
• 43 = 3 + 5 + 7 + 11 + 17.

The date magic square at right illustrates the magic constant as the sum of four primes:

When taking the first six terms of the Taylor series for computing e, one obtains

\sum_{i=0}^{5}\frac{1}{i!}=\frac{163}{60}=2+\frac{43}{60},\

which is also five minus the fifth harmonic number.

Every solvable configuration of the Fifteen puzzle can be solved in no more than 43 multi-tile moves (i.e. when moving two or three tiles at once is counted as one move).[1]

In sports

In the US's National Football League, the number 43 was worn by Jim Norton of the Houston Oilers. The Oilers (now the Tennessee Titans) retired the number.

In auto racing:

• Brad Daugherty, ESPN NASCAR analyst and retired American basketball player. His #43 jersey, a number he picked as a tribute to NASCAR legend Richard Petty (whom Daugherty lists as his favorite sportsman), was retired by the Cavaliers on March 1, 1997.

In baseball:

In Motocross/Supercross

• Joey Savatgy will run the number 43 in the 2014 250MX and 250SX series and is sponsored by Armswag

Arts, entertainment, and media

Films

• Movie 43 (2013), is a film consisting of a series of interconnected short stories, featuring some of the biggest stars in Hollywood, which make up the insane storylines a washed-up producer is pitching to a movie company.

In other fields

Forty-three is:

• The designation of Interstate 43, a freeway in Wisconsin.
• +43, the code for direct dial international phone calls to Austria.
• Bush 43, [2]
• "43", a song by Level 42 on the album Level 42.
• U.S.S. Coral Sea CV-43 (Aircraft Carrier).
• The name of a popular Spanish liqueur, Cuarenta y tres, which is distilled with 43 different herbs and spices.

Notes

1. ^ "The Fifteen Puzzle can be solved in 43 "moves"". Domain of the Cube Forum
2. ^

References

• Lehmer, Derrick, List of prime numbers from 1 to 10,006,721, Carnegie Institution of Washington, 1914
• Wells, David, Prime Numbers: The Most Mysterious Figures in Math, Wiley, 2005, ISBN 0-471-46234-9
• Crandall, Richard and Pomerance, Carl, Prime Numbers: A Computational Perspective, Springer, 2005, ISBN 0-387-25282-7
• http://www.espncricinfo.com/south-africa-v-sri-lanka-2011/content/current/story/548918.html
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