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43 (number)

From Wikipedia, the free encyclopedia
Natural number
← 4243 44 →
Cardinalforty-three
Ordinal43rd
(forty-third)
Factorizationprime
Prime14th
Divisors1, 43
Greek numeralΜΓ´
Roman numeralXLIII,xliii
Binary1010112
Ternary11213
Senary1116
Octal538
Duodecimal3712
Hexadecimal2B16

43 (forty-three) is thenatural number following42 and preceding44.

Mathematics

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43 is a prime number, and atwin prime of41. 43 is the smallest prime that is not aChen prime. 43 is also aWagstaff prime,[1] and aHeegner number.[2] 43 is the fourth term ofSylvester's sequence.[3]

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

Dutch mathematicianHendrik Lenstra wrote a mathematical research paper discussing the properties of the number, titledOde to the number 43.

TheSri Yantra, with nine interlocking triangles that collectively form 43 smaller triangles

Notes

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  1. ^Sloane, N. J. A. (ed.)."Sequence A000979 (Wagstaff primes)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-30.
  2. ^Sloane, N. J. A. (ed.)."Sequence A003173 (Heegner numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-30.
  3. ^Sloane, N. J. A. (ed.)."Sequence A000058 (Sylvester's sequence)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-30.

Further reading

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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 2590266Zbl 1263.00002

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