What is the 2977th prime number?
The 2977th prime number is 27179. The next prime is 27191 (a gap of 12) and the one before is 27143.
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 2977th one is 27179.
- 2
27179 is prime because no prime up to ā27179 ā 164.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2977th prime is close to 2977 Ć ln(2977) ā 23812, and here it is 27179.
- 4
27179 has no twin: neither 27177 nor 27181 is prime.
Primes around the 2977th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2974 | 27109 | 2 |
| 2975 | 27127 | 18 |
| 2976 | 27143 | 16 |
| 2977 | 27179 | 36 |
| 2978 | 27191 | 12 |
| 2979 | 27197 | 6 |
| 2980 | 27211 | 14 |
Questions
What is the 2977th prime number?
27179.
Which prime number is 27179?
27179 is the 2977th prime number.
What is the sum of the first 2977 primes?
38,016,858.