257 (number)

Last updated
← 256 257 258 →
Cardinal two hundred fifty-seven
Ordinal 257th
(two hundred fifty-seventh)
Factorization prime
Prime yes
Greek numeral ΣΝΖ´
Roman numeral CCLVII
Binary 1000000012
Ternary 1001123
Senary 11056
Octal 4018
Duodecimal 19512
Hexadecimal 10116

257 (two hundred [and] fifty-seven) is the natural number following 256 and preceding 258.

257 is a prime number of the form specifically with n = 3, and therefore a Fermat prime. Thus, a regular polygon with 257 sides is constructible with compass and unmarked straightedge. It is currently the second largest known Fermat prime. [1]

Analogously, 257 is the third Sierpinski prime of the first kind, of the form ➜ . [2]

It is also a balanced prime, [3] an irregular prime, [4] a prime that is one more than a square, [5] and a Jacobsthal–Lucas number. [6]

Four-fold 257 is 1028, which is the prime index of the fifth Mersenne prime, 8191. [7] [8]

There are exactly 257 combinatorially distinct convex polyhedra with eight vertices (or polyhedral graphs with eight nodes). [9]

Related Research Articles

23 (twenty-three) is the natural number following 22 and preceding 24.

73 (seventy-three) is the natural number following 72 and preceding 74. In English, it is the smallest natural number with twelve letters in its spelled out name.

31 (thirty-one) is the natural number following 30 and preceding 32. It is a prime number.

63 (sixty-three) is the natural number following 62 and preceding 64.

64 (sixty-four) is the natural number following 63 and preceding 65.

103 is the natural number following 102 and preceding 104.

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

2000 is a natural number following 1999 and preceding 2001.

3000 is the natural number following 2999 and preceding 3001. It is the smallest number requiring thirteen letters in English.

<span class="mw-page-title-main">1,000,000</span> Natural number

1,000,000, or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian millione, from mille, "thousand", plus the augmentative suffix -one.

<span class="mw-page-title-main">1,000,000,000</span> Natural number

1,000,000,000 is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b, bil or bn.

100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.

10,000,000 is the natural number following 9,999,999 and preceding 10,000,001.

100,000,000 is the natural number following 99,999,999 and preceding 100,000,001.

233 is the natural number following 232 and preceding 234.

271 is the natural number after 270 and before 272.

20,000 is the natural number that comes after 19,999 and before 20,001.

60,000 is the natural number that comes after 59,999 and before 60,001. It is a round number. It is the value of (75025).

References

  1. ↑ Hsiung, C. Y. (1995), Elementary Theory of Numbers, Allied Publishers, pp. 39–40, ISBN   9788170234647 .
  2. ↑ Weisstein, Eric W. "Sierpiński Number of the First Kind". mathworld.wolfram.com. Retrieved 2020-07-30.
  3. ↑ Sloane, N. J. A. (ed.). "SequenceA006562(Balanced primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  4. ↑ Sloane, N. J. A. (ed.). "SequenceA000928(Irregular primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  5. ↑ Sloane, N. J. A. (ed.). "SequenceA002496(Primes of form n^2 + 1)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  6. ↑ Sloane, N. J. A. (ed.). "SequenceA014551(Jacobsthal-Lucas numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  7. ↑ Sloane, N. J. A. (ed.). "SequenceA000040(The prime numbers.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2024-02-21.
  8. ↑ Sloane, N. J. A. (ed.). "SequenceA000668(Mersenne primes (primes of the form 2^n - 1).)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2024-02-21.
  9. ↑ Sloane, N. J. A. (ed.). "SequenceA000944(Number of polyhedra (or 3-connected simple planar graphs) with n nodes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
This page is based on this Wikipedia article
Text is available under the CC BY-SA 4.0 license; additional terms may apply.
Images, videos and audio are available under their respective licenses.