What is the 2992nd prime number?
The 2992nd prime number is 27361. The next prime is 27367 (a gap of 6) and the one before is 27337.
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 2992nd one is 27361.
- 2
27361 is prime because no prime up to ā27361 ā 165.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2992nd prime is close to 2992 Ć ln(2992) ā 23947, and here it is 27361.
- 4
27361 has no twin: neither 27359 nor 27363 is prime.
Primes around the 2992nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2989 | 27299 | 16 |
| 2990 | 27329 | 30 |
| 2991 | 27337 | 8 |
| 2992 | 27361 | 24 |
| 2993 | 27367 | 6 |
| 2994 | 27397 | 30 |
| 2995 | 27407 | 10 |
Questions
What is the 2992nd prime number?
27361.
Which prime number is 27361?
27361 is the 2992nd prime number.
What is the sum of the first 2992 primes?
38,425,887.