293 (number)
| ||||
|---|---|---|---|---|
| Cardinal | two hundred ninety-three | |||
| Ordinal | 293rd (two hundred ninety-third) | |||
| Factorization | prime | |||
| Divisors | 1, 293 | |||
| Greek numeral | ΣϞΓ´ | |||
| Roman numeral | CCXCIII, ccxciii | |||
| Binary | 1001001012 | |||
| Ternary | 1012123 | |||
| Senary | 12056 | |||
| Octal | 4458 | |||
| Duodecimal | 20512 | |||
| Hexadecimal | 12516 | |||
293 is the natural number following 292 and preceding 294.
In mathematics
[edit]293 is:
- a prime number,[1][2]
- a Pythagorean prime,[3]
- a Sophie Germain prime[4]
- a Chen prime[5]
- strictly trivially polygonal (number n that is polygonal in only 2 ways: 2-gonal and n-gonal)[6]
- equivalent to the sum of the first three tetradic primes. Tetradic numbers are numbers that are the same if written backwards, flipped upside-down, or mirrored upside-down and tetradic primes are tetradic numbers that are also prime. It is the sum of 11 + 101 + 181.[7]
- the sum of perfect cubes 2³+2³+3³+5³+5³
References
[edit]- ^ "Prime number information". mathworld.wolfram.com.
- ^ Sloane, N. J. A. (ed.). "Sequence A000040 (The prime numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A002144 (Pythagorean primes: primes of form 4*k + 1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A005384 (Sophie Germain primes p: 2p+1 is also prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A109611 (Chen primes: primes p such that p + 2 is either a prime or a semiprime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A090467 (Numbers which are not regular figurative or polygonal numbers of order greater than 2. That is, numbers not of the form 1 + k*n(n-1)/2 - (n-1)^2 where n >= 2 and k >= 2)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "Tetradic numbers and tetradic primes". mathworld.wolfram.com.
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