43 (number)
Appearance
(Redirected from Number 43)
| ||||
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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.
Mathematics
[edit]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.
Dutch mathematician Hendrik Lenstra wrote a mathematical research paper discussing the properties of the number, titled Ode to the number 43.

Notes
[edit]- ^ Sloane, N. J. A. (ed.). "Sequence A000979 (Wagstaff primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
- ^ Sloane, N. J. A. (ed.). "Sequence A003173 (Heegner numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
- ^ Sloane, N. J. A. (ed.). "Sequence A000058 (Sylvester's sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
Further reading
[edit]Lenstra, Hendrik (2009). Ode to the number 43 (In Dutch). Nieuw Arch. Wiskd. Amsterdam, NL: Koninklijk Wiskundig Genootschap (5) 10, No. 4: 240-244. MR2590266 Zbl 1263.00002