What is the 2991st prime number?
The 2991st prime number is 27337. The next prime is 27361 (a gap of 24) and the one before is 27329.
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 2991st one is 27337.
- 2
27337 is prime because no prime up to ā27337 ā 165.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2991st prime is close to 2991 Ć ln(2991) ā 23938, and here it is 27337.
- 4
27337 has no twin: neither 27335 nor 27339 is prime.
Primes around the 2991st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2988 | 27283 | 2 |
| 2989 | 27299 | 16 |
| 2990 | 27329 | 30 |
| 2991 | 27337 | 8 |
| 2992 | 27361 | 24 |
| 2993 | 27367 | 6 |
| 2994 | 27397 | 30 |
Questions
What is the 2991st prime number?
27337.
Which prime number is 27337?
27337 is the 2991st prime number.
What is the sum of the first 2991 primes?
38,398,526.