What is the 2980th prime number?
The 2980th prime number is 27211. The next prime is 27239 (a gap of 28) and the one before is 27197.
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 2980th one is 27211.
- 2
27211 is prime because no prime up to ā27211 ā 164.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2980th prime is close to 2980 Ć ln(2980) ā 23839, and here it is 27211.
- 4
27211 has no twin: neither 27209 nor 27213 is prime.
Primes around the 2980th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2977 | 27179 | 36 |
| 2978 | 27191 | 12 |
| 2979 | 27197 | 6 |
| 2980 | 27211 | 14 |
| 2981 | 27239 | 28 |
| 2982 | 27241 | 2 |
| 2983 | 27253 | 12 |
Questions
What is the 2980th prime number?
27211.
Which prime number is 27211?
27211 is the 2980th prime number.
What is the sum of the first 2980 primes?
38,098,457.