What is the 2989th prime number?
The 2989th prime number is 27299. The next prime is 27329 (a gap of 30) and the one before is 27283.
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 2989th one is 27299.
- 2
27299 is prime because no prime up to ā27299 ā 165.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2989th prime is close to 2989 Ć ln(2989) ā 23920, and here it is 27299.
- 4
27299 has no twin: neither 27297 nor 27301 is prime.
Primes around the 2989th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2986 | 27277 | 6 |
| 2987 | 27281 | 4 |
| 2988 | 27283 | 2 |
| 2989 | 27299 | 16 |
| 2990 | 27329 | 30 |
| 2991 | 27337 | 8 |
| 2992 | 27361 | 24 |
Questions
What is the 2989th prime number?
27299.
Which prime number is 27299?
27299 is the 2989th prime number.
What is the sum of the first 2989 primes?
38,343,860.