What is the 703rd prime number?
The 703rd prime number is 5303. The next prime is 5309 (a gap of 6) and the one before is 5297.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 703rd one is 5303.
- 2
5303 is prime because no prime up to ā5303 ā 72.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 703rd prime is close to 703 Ć ln(703) ā 4608, and here it is 5303.
- 4
5303 has no twin: neither 5301 nor 5305 is prime.
Primes around the 703rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 700 | 5279 | 6 |
| 701 | 5281 | 2 |
| 702 | 5297 | 16 |
| 703 | 5303 | 6 |
| 704 | 5309 | 6 |
| 705 | 5323 | 14 |
| 706 | 5333 | 10 |
Questions
What is the 703rd prime number?
5303.
Which prime number is 5303?
5303 is the 703rd prime number.
What is the sum of the first 703 primes?
1,723,170.