What is the 2993rd prime number?
The 2993rd prime number is 27367. The next prime is 27397 (a gap of 30) and the one before is 27361.
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 2993rd one is 27367.
- 2
27367 is prime because no prime up to ā27367 ā 165.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2993rd prime is close to 2993 Ć ln(2993) ā 23956, and here it is 27367.
- 4
27367 has no twin: neither 27365 nor 27369 is prime.
Primes around the 2993rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2990 | 27329 | 30 |
| 2991 | 27337 | 8 |
| 2992 | 27361 | 24 |
| 2993 | 27367 | 6 |
| 2994 | 27397 | 30 |
| 2995 | 27407 | 10 |
| 2996 | 27409 | 2 |
Questions
What is the 2993rd prime number?
27367.
Which prime number is 27367?
27367 is the 2993rd prime number.
What is the sum of the first 2993 primes?
38,453,254.