43 (number)
| ||||
|---|---|---|---|---|
| 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