What is the 2988th prime number?
The 2988th prime number is 27283. The next prime is 27299 (a gap of 16) and the one before is 27281.
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 2988th one is 27283.
- 2
27283 is prime because no prime up to ā27283 ā 165.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2988th prime is close to 2988 Ć ln(2988) ā 23911, and here it is 27283.
- 4
27283 is a twin prime: 27281 and 27283 are both prime.
Primes around the 2988th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2985 | 27271 | 12 |
| 2986 | 27277 | 6 |
| 2987 | 27281 | 4 |
| 2988 | 27283 | 2 |
| 2989 | 27299 | 16 |
| 2990 | 27329 | 30 |
| 2991 | 27337 | 8 |
Questions
What is the 2988th prime number?
27283.
Which prime number is 27283?
27283 is the 2988th prime number.
What is the sum of the first 2988 primes?
38,316,561.