What is the 2982nd prime number?
The 2982nd prime number is 27241. The next prime is 27253 (a gap of 12) and the one before is 27239.
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 2982nd one is 27241.
- 2
27241 is prime because no prime up to ā27241 ā 165.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2982nd prime is close to 2982 Ć ln(2982) ā 23857, and here it is 27241.
- 4
27241 is a twin prime: 27239 and 27241 are both prime.
Primes around the 2982nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2979 | 27197 | 6 |
| 2980 | 27211 | 14 |
| 2981 | 27239 | 28 |
| 2982 | 27241 | 2 |
| 2983 | 27253 | 12 |
| 2984 | 27259 | 6 |
| 2985 | 27271 | 12 |
Questions
What is the 2982nd prime number?
27241.
Which prime number is 27241?
27241 is the 2982nd prime number.
What is the sum of the first 2982 primes?
38,152,937.