What is the 4989th prime number?
The 4989th prime number is 48491. The next prime is 48497 (a gap of 6) and the one before is 48487.
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 4989th one is 48491.
- 2
48491 is prime because no prime up to ā48491 ā 220.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4989th prime is close to 4989 Ć ln(4989) ā 42481, and here it is 48491.
- 4
48491 has no twin: neither 48489 nor 48493 is prime.
Primes around the 4989th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4986 | 48479 | 6 |
| 4987 | 48481 | 2 |
| 4988 | 48487 | 6 |
| 4989 | 48491 | 4 |
| 4990 | 48497 | 6 |
| 4991 | 48523 | 26 |
| 4992 | 48527 | 4 |
Questions
What is the 4989th prime number?
48491.
Which prime number is 48491?
48491 is the 4989th prime number.
What is the sum of the first 4989 primes?
113,921,172.