What is the 702nd prime number?
The 702nd prime number is 5297. The next prime is 5303 (a gap of 6) and the one before is 5281.
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 702nd one is 5297.
- 2
5297 is prime because no prime up to ā5297 ā 72.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 702nd prime is close to 702 Ć ln(702) ā 4601, and here it is 5297.
- 4
5297 has no twin: neither 5295 nor 5299 is prime.
Primes around the 702nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 699 | 5273 | 12 |
| 700 | 5279 | 6 |
| 701 | 5281 | 2 |
| 702 | 5297 | 16 |
| 703 | 5303 | 6 |
| 704 | 5309 | 6 |
| 705 | 5323 | 14 |
Questions
What is the 702nd prime number?
5297.
Which prime number is 5297?
5297 is the 702nd prime number.
What is the sum of the first 702 primes?
1,717,867.