What is the 697th prime number?
The 697th prime number is 5237. The next prime is 5261 (a gap of 24) and the one before is 5233.
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 697th one is 5237.
- 2
5237 is prime because no prime up to ā5237 ā 72.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 697th prime is close to 697 Ć ln(697) ā 4563, and here it is 5237.
- 4
5237 has no twin: neither 5235 nor 5239 is prime.
Primes around the 697th
| Position | Prime | Gap from the previous |
|---|---|---|
| 694 | 5227 | 18 |
| 695 | 5231 | 4 |
| 696 | 5233 | 2 |
| 697 | 5237 | 4 |
| 698 | 5261 | 24 |
| 699 | 5273 | 12 |
| 700 | 5279 | 6 |
Questions
What is the 697th prime number?
5237.
Which prime number is 5237?
5237 is the 697th prime number.
What is the sum of the first 697 primes?
1,691,476.