What is the 2998th prime number?
The 2998th prime number is 27431. The next prime is 27437 (a gap of 6) and the one before is 27427.
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 2998th one is 27431.
- 2
27431 is prime because no prime up to ā27431 ā 165.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2998th prime is close to 2998 Ć ln(2998) ā 24001, and here it is 27431.
- 4
27431 has no twin: neither 27429 nor 27433 is prime.
Primes around the 2998th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2995 | 27407 | 10 |
| 2996 | 27409 | 2 |
| 2997 | 27427 | 18 |
| 2998 | 27431 | 4 |
| 2999 | 27437 | 6 |
| 3000 | 27449 | 12 |
| 3001 | 27457 | 8 |
Questions
What is the 2998th prime number?
27431.
Which prime number is 27431?
27431 is the 2998th prime number.
What is the sum of the first 2998 primes?
38,590,325.