What is the 699th prime number?
The 699th prime number is 5273. The next prime is 5279 (a gap of 6) and the one before is 5261.
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 699th one is 5273.
- 2
5273 is prime because no prime up to ā5273 ā 72.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 699th prime is close to 699 Ć ln(699) ā 4578, and here it is 5273.
- 4
5273 has no twin: neither 5271 nor 5275 is prime.
Primes around the 699th
| Position | Prime | Gap from the previous |
|---|---|---|
| 696 | 5233 | 2 |
| 697 | 5237 | 4 |
| 698 | 5261 | 24 |
| 699 | 5273 | 12 |
| 700 | 5279 | 6 |
| 701 | 5281 | 2 |
| 702 | 5297 | 16 |
Questions
What is the 699th prime number?
5273.
Which prime number is 5273?
5273 is the 699th prime number.
What is the sum of the first 699 primes?
1,702,010.