What is the 2999th prime number?
The 2999th prime number is 27437. The next prime is 27449 (a gap of 12) and the one before is 27431.
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 2999th one is 27437.
- 2
27437 is prime because no prime up to ā27437 ā 165.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2999th prime is close to 2999 Ć ln(2999) ā 24010, and here it is 27437.
- 4
27437 has no twin: neither 27435 nor 27439 is prime.
Primes around the 2999th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2996 | 27409 | 2 |
| 2997 | 27427 | 18 |
| 2998 | 27431 | 4 |
| 2999 | 27437 | 6 |
| 3000 | 27449 | 12 |
| 3001 | 27457 | 8 |
| 3002 | 27479 | 22 |
Questions
What is the 2999th prime number?
27437.
Which prime number is 27437?
27437 is the 2999th prime number.
What is the sum of the first 2999 primes?
38,617,762.