What is the 2979th prime number?
The 2979th prime number is 27197. The next prime is 27211 (a gap of 14) and the one before is 27191.
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 2979th one is 27197.
- 2
27197 is prime because no prime up to ā27197 ā 164.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2979th prime is close to 2979 Ć ln(2979) ā 23830, and here it is 27197.
- 4
27197 has no twin: neither 27195 nor 27199 is prime.
Primes around the 2979th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2976 | 27143 | 16 |
| 2977 | 27179 | 36 |
| 2978 | 27191 | 12 |
| 2979 | 27197 | 6 |
| 2980 | 27211 | 14 |
| 2981 | 27239 | 28 |
| 2982 | 27241 | 2 |
Questions
What is the 2979th prime number?
27197.
Which prime number is 27197?
27197 is the 2979th prime number.
What is the sum of the first 2979 primes?
38,071,246.