43 (number)

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← 42 43 44 →
Cardinal forty-three
Ordinal 43rd
(forty-third)
Factorization prime
Prime 14th
Divisors 1, 43
Greek numeral ΜΓ´
Roman numeral XLIII, xliii
Binary 1010112
Ternary 11213
Senary 1116
Octal 538
Duodecimal 3712
Hexadecimal 2B16

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

Contents

Mathematics

43 is a prime number, and a twin prime of 41, with which it comprises a twin prime. 43 is the smallest prime that is not a Chen prime. 43 is also a Wagstaff prime, [1] and a Heegner number. [2] 43 is the fourth term of Sylvester's sequence. [3]

43 is the largest prime which divides the order of the Janko group J4.

43 is the largest natural number that is not an (original) McNugget number. [4]

The Sri Yantra, with nine interlocking triangles that collectively form 43 smaller triangles SriYantra color.svg
The Sri Yantra, with nine interlocking triangles that collectively form 43 smaller triangles

Notes

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA000979(Wagstaff primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-05-30.
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA003173(Heegner numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-05-30.
  3. ↑ Sloane, N. J. A. (ed.). "SequenceA000058(Sylvester's sequence)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-05-30.
  4. ↑ Sloane, N. J. A. (ed.). "SequenceA065003(Not McNugget numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-05-30.

References

Further reading

Lenstra, Hendrik (2009). Ode to the number 43 (In Dutch). Nieuw Arch. Wiskd. Amsterdam, NL: Koninklijk Wiskundig Genootschap (5) 10, No. 4: 240-244. MR 2590266 Zbl   1263.00002

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