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743 (number)

From Wikipedia, the free encyclopedia
Natural number
← 742743 744 →
Cardinalseven hundred forty-three
Ordinal743rd
(seven hundred forty-third)
Factorizationprime
Prime132nd
Greek numeralΨΜΓ´
Roman numeralDCCXLIII,dccxliii
Binary10111001112
Ternary10001123
Senary32356
Octal13478
Duodecimal51B12
Hexadecimal2E716

743 (seven hundred [and] forty three) is thenatural number following742 and preceding744. It is aprime number.

743 is the 132nd prime number and aSophie Germain prime, because 2 × 743 + 1 = 1487 is also prime.[1]

743 is anemirp, because 347 (the reversal of its digits) is prime.

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

References

[edit]
  1. ^Sloane, N. J. A. (ed.)."Sequence A005384 (Sophie Germain primes p: 2p+1 is also prime)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^Sloane, N. J. A. (ed.)."Sequence A027624 (Number of independent subsets of 2^n cube)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^Sloane, N. J. A. (ed.)."Sequence A006924 (Number of connected trivalent graphs with 2n nodes and girth exactly 4)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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