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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]
743 is an emirp, because 347 (the reversal of its digits) is prime.
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]
References
- ^ Sloane, N. J. A. (ed.). "Sequence A005384 (Sophie Germain primes p: 2p+1 is also prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A027624 (Number of independent subsets of 2^n cube)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A006924 (Number of connected trivalent graphs with 2n nodes and girth exactly 4)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.