What is the 2990th prime number?
The 2990th prime number is 27329. The next prime is 27337 (a gap of 8) and the one before is 27299.
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, ⦠The 2990th one is 27329.
- 2
27329 is prime because no prime up to ā27329 ā 165.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2990th prime is close to 2990 Ć ln(2990) ā 23929, and here it is 27329.
- 4
27329 has no twin: neither 27327 nor 27331 is prime.
Primes around the 2990th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2987 | 27281 | 4 |
| 2988 | 27283 | 2 |
| 2989 | 27299 | 16 |
| 2990 | 27329 | 30 |
| 2991 | 27337 | 8 |
| 2992 | 27361 | 24 |
| 2993 | 27367 | 6 |
Questions
What is the 2990th prime number?
27329.
Which prime number is 27329?
27329 is the 2990th prime number.
What is the sum of the first 2990 primes?
38,371,189.