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