What is the 2978th prime number?
The 2978th prime number is 27191. The next prime is 27197 (a gap of 6) and the one before is 27179.
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 2978th one is 27191.
- 2
27191 is prime because no prime up to ā27191 ā 164.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2978th prime is close to 2978 Ć ln(2978) ā 23821, and here it is 27191.
- 4
27191 has no twin: neither 27189 nor 27193 is prime.
Primes around the 2978th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2975 | 27127 | 18 |
| 2976 | 27143 | 16 |
| 2977 | 27179 | 36 |
| 2978 | 27191 | 12 |
| 2979 | 27197 | 6 |
| 2980 | 27211 | 14 |
| 2981 | 27239 | 28 |
Questions
What is the 2978th prime number?
27191.
Which prime number is 27191?
27191 is the 2978th prime number.
What is the sum of the first 2978 primes?
38,044,049.