743 (number)

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Cardinal seven hundred forty-three
Ordinal 743rd
(seven hundred forty-third)
Factorization prime
Greek numeral ΨΜΓ´
Roman numeral DCCXLIII
Binary 10111001112
Ternary 10001123
Senary 32356
Octal 13478
Duodecimal 51B12
Hexadecimal 2E716

743 (seven hundred [and] forty three) is the natural number following 742 and preceding 744. It is a prime number.

743 is a Sophie Germain prime, because 2 × 743 + 1 = 1487 is also prime. [1]

There are exactly 743 independent sets in a four-dimensional (16 vertex) hypercube graph, [2] and exactly 743 connected cubic graphs with 16 vertices and girth four. [3]

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References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA005384(Sophie Germain primes p: 2p+1 is also prime)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA027624(Number of independent subsets of 2^n cube)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "SequenceA006924(Number of connected trivalent graphs with 2n nodes and girth exactly 4)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
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