593 (number)
| ||||
|---|---|---|---|---|
| Cardinal | five hundred ninety-three | |||
| Ordinal | 593rd (five hundred ninety-third) | |||
| Factorization | prime | |||
| Divisors | 1, 593 | |||
| Greek numeral | ΦϞΓ´ | |||
| Roman numeral | DXCIII | |||
| Binary | 10010100012 | |||
| Ternary | 2102223 | |||
| Quaternary | 211014 | |||
| Quinary | 43335 | |||
| Senary | 24256 | |||
| Octal | 11218 | |||
| Duodecimal | 41512 | |||
| Hexadecimal | 25116 | |||
| Vigesimal | 19D20 | |||
| Base 36 | GH36 | |||
593 (five hundred [and] ninety-three) is the natural number following 592 and preceding 594.[1]
In mathematics
593 is the 108th prime number. It is also a Sophie Germain prime,[1] a right-truncatable prime,[2] a Pythagorean prime,[3] a balanced prime,[4] and a Ramanujan prime.[5] 593 is an example of what Paul Erdős and Ernst G. Straus called a good prime, or a prime whose square is greater than the product of its neighboring two primes.[6]
593 is most notable for being a Leyland number, since it can be expressed in the form , specifically as:[7]
But since it is prime, it is also a Leyland prime, most specifically the second one.[7][8][9][10]
References
- ↑ 1.0 1.1 Vanovschi, Vitalii. "Properties of the number 593". www.numberempire.com. Retrieved 2026-09-27.
- ↑ Weisstein, Eric W. "Truncatable Prime". mathworld.wolfram.com MathWorld. Wolfram Research, Inc. Retrieved 2026-09-26.
- ↑ Sloane, N. J. A. (ed.). "Sequence A002144 (Pythagorean primes: primes of the form 4*k + 1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A006562 (Balanced primes (of order one): primes which are the average of the previous prime and the following prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A104272 (Ramanujan primes R_n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A028388 (Good primes (version 2): prime(n) such that prime(n)^2 > prime(n-i)*prime(n+i) for all 1 <= i <= n-1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ 7.0 7.1 "Notable Properties of Specific Numbers (page 12) at MROB". www.mrob.com. Retrieved 2026-09-26.
- ↑ Maharshi, Arvind; Kumari, Anita; Singh Sisodi, Krishnapal (December 2025). "On Approximation of real root of Algebraic and Transcendental Equations with Trigonometric Approach" (PDF). Ganita Sandesh. 39 (May 2026). ISSN 0970-9169. Retrieved 2026-09-27.
- ↑ Sloane, N. J. A. (ed.). "Sequence A094133 (Leyland primes: 3, together with primes of form x^y + y^x, for x > y > 1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Janaki, G.; Sarulatha, R. (March 2026). "Parameterized Integer Solutions of Quaternary Quadratic Diophantine Equation" (PDF). Journal Publication of International Research for Engineering and Management (JOIREM). 4 (3). ISSN 3107-6696. Retrieved 2026-09-27.
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