What is the 2994th prime number?
The 2994th prime number is 27397. The next prime is 27407 (a gap of 10) and the one before is 27367.
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 2994th one is 27397.
- 2
27397 is prime because no prime up to ā27397 ā 165.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2994th prime is close to 2994 Ć ln(2994) ā 23965, and here it is 27397.
- 4
27397 has no twin: neither 27395 nor 27399 is prime.
Primes around the 2994th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2991 | 27337 | 8 |
| 2992 | 27361 | 24 |
| 2993 | 27367 | 6 |
| 2994 | 27397 | 30 |
| 2995 | 27407 | 10 |
| 2996 | 27409 | 2 |
| 2997 | 27427 | 18 |
Questions
What is the 2994th prime number?
27397.
Which prime number is 27397?
27397 is the 2994th prime number.
What is the sum of the first 2994 primes?
38,480,651.