What is the 4898th prime number?
The 4898th prime number is 47513. The next prime is 47521 (a gap of 8) and the one before is 47507.
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 4898th one is 47513.
- 2
47513 is prime because no prime up to ā47513 ā 217.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4898th prime is close to 4898 Ć ln(4898) ā 41616, and here it is 47513.
- 4
47513 has no twin: neither 47511 nor 47515 is prime.
Primes around the 4898th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4895 | 47497 | 6 |
| 4896 | 47501 | 4 |
| 4897 | 47507 | 6 |
| 4898 | 47513 | 6 |
| 4899 | 47521 | 8 |
| 4900 | 47527 | 6 |
| 4901 | 47533 | 6 |
Questions
What is the 4898th prime number?
47513.
Which prime number is 47513?
47513 is the 4898th prime number.
What is the sum of the first 4898 primes?
109,553,447.