743 (number)

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

← 742 743 744 →
List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	seven hundred forty-three
Ordinal	743rd (seven hundred forty-third)
Factorization	prime
Greek numeral	ΨΜΓ´
Roman numeral	DCCXLIII
Binary	10111001112
Ternary	10001123
Octal	13478
Duodecimal	51B12
Hexadecimal	2E716

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]

References

1. 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.
2. Sloane, N. J. A. (ed.). "Sequence A027624 (Number of independent subsets of 2^n cube)". The On-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)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.