What is the 2981st prime number?
The 2981st prime number is 27239. The next prime is 27241 (a gap of 2) and the one before is 27211.
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 2981st one is 27239.
- 2
27239 is prime because no prime up to ā27239 ā 165.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2981st prime is close to 2981 Ć ln(2981) ā 23848, and here it is 27239.
- 4
27239 is a twin prime: 27239 and 27241 are both prime.
Primes around the 2981st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2978 | 27191 | 12 |
| 2979 | 27197 | 6 |
| 2980 | 27211 | 14 |
| 2981 | 27239 | 28 |
| 2982 | 27241 | 2 |
| 2983 | 27253 | 12 |
| 2984 | 27259 | 6 |
Questions
What is the 2981st prime number?
27239.
Which prime number is 27239?
27239 is the 2981st prime number.
What is the sum of the first 2981 primes?
38,125,696.