What is the 698th prime number?
The 698th prime number is 5261. The next prime is 5273 (a gap of 12) and the one before is 5237.
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 698th one is 5261.
- 2
5261 is prime because no prime up to ā5261 ā 72.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 698th prime is close to 698 Ć ln(698) ā 4571, and here it is 5261.
- 4
5261 has no twin: neither 5259 nor 5263 is prime.
Primes around the 698th
| Position | Prime | Gap from the previous |
|---|---|---|
| 695 | 5231 | 4 |
| 696 | 5233 | 2 |
| 697 | 5237 | 4 |
| 698 | 5261 | 24 |
| 699 | 5273 | 12 |
| 700 | 5279 | 6 |
| 701 | 5281 | 2 |
Questions
What is the 698th prime number?
5261.
Which prime number is 5261?
5261 is the 698th prime number.
What is the sum of the first 698 primes?
1,696,737.