283 ( two hundred and eighty-three ) is a natural and prime number between 282 and 284 .
- 283 days a year - October 10 (in a leap year - October 9 ) [ significance of fact? ] .
| 283 | |
|---|---|
| two hundred eighty three | |
| ← 281 · 282 · 283 · 284 · 285 → | |
| Factorization | simple |
| Roman notation | CCLXXXIII |
| Binary | 100011011 |
| Octal | 433 |
| Hexadecimal | 11B |
Content
- 1 Arithmetic properties
- 2 See also
- 3 notes
- 4 Literature
- 5 Links
Arithmetic Properties
- 283 - 61st prime number [1] , 35th, the sum of the digits of which is also a prime number [2] . In this case, 2 × 8 × 3 + 2 + 8 + 3 = 48 + 13 = 61 . This is the least prime for which its sequence number in the sequence is the sum of its digits, to which the product of its digits is added [3] .
- 283 is the twin number of 281 [4] [5] .
- The number 283 is a prime number that differs by 6 from the prime number 277 [6] .
- 283 is the smallest prime factor of the first composite numerator of the Bernoulli number [7] .
- [7] .
- 283 is the largest (ie, less than a thousand-digit) prime represented in the form : [3] .
- 283 - the minimum prime number less than the sum of the cubic roots of all primes smaller than a given number [3] .
- 283 is the largest prime number, from the cubic residues of which it is impossible to make a triple of primes. There are 13 such numbers; they are called exceptional primes [K 1] [8] [9] .
- Odious number
See also
- 283 km - stopping platform of the Big Ring of the Moscow Railway.
- (283) Emma is the asteroid of the main belt.
- Ikarus 283 is an urban articulated mid-sized bus of especially large capacity manufactured by the Hungarian company Ikarus .
- NGC 283 is a spiral galaxy in the constellation Keith.
Notes
- ↑ 2 , 3 , 7 , 13 , 19 , 31 , 37 , 43 , 61 , 67 , 79 , 127 , 283
- sources
- ↑ sequence A000040 / b000040.txt in OEIS .
- ↑ sequence A046704 in OEIS .
- ↑ 1 2 3 Chris K. Caldwell. Prime Curios !: 283 . primes.utm.edu. Date of treatment February 21, 2018.
- ↑ sequence A001359 in OEIS .
- ↑ sequence A001097 in OEIS .
- ↑ sequence A023201 in OEIS .
- ↑ 1 2 Caldwell, Honaker, 2009 .
- ↑ sequence A053613 in OEIS
- ↑ Roberts, 1992 .
Literature
- Henri Cohen. A Course in Computational Algebraic Number Theory . - Springer Science & Business Media, 2013 .-- P. 229. - 536 p. - ISBN 3662029456 .
- Joe Roberts. Integer 283 // Lure of the Integers. - MAA , 1992 .-- S. 237-238. - ISBN 0-88385-502-X .
- Chris K. Caldwell , GL Honaker, Jr. Prime Curios! The Dictionary of Prime Number Trivia . - CreateSpace, 2009.- S. 84. - 316 p. - ISBN 978-1448651702 .
Links
- Tanya Khovanova. Number Gossip: 283 numbergossip.com. Date of treatment February 21, 2018.