What is the 2997th prime number?
The 2997th prime number is 27427. The next prime is 27431 (a gap of 4) and the one before is 27409.
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 2997th one is 27427.
- 2
27427 is prime because no prime up to ā27427 ā 165.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2997th prime is close to 2997 Ć ln(2997) ā 23992, and here it is 27427.
- 4
27427 has no twin: neither 27425 nor 27429 is prime.
Primes around the 2997th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2994 | 27397 | 30 |
| 2995 | 27407 | 10 |
| 2996 | 27409 | 2 |
| 2997 | 27427 | 18 |
| 2998 | 27431 | 4 |
| 2999 | 27437 | 6 |
| 3000 | 27449 | 12 |
Questions
What is the 2997th prime number?
27427.
Which prime number is 27427?
27427 is the 2997th prime number.
What is the sum of the first 2997 primes?
38,562,894.