What is the 4899th prime number?
The 4899th prime number is 47521. The next prime is 47527 (a gap of 6) and the one before is 47513.
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 4899th one is 47521.
- 2
47521 is prime because no prime up to ā47521 ā 217.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4899th prime is close to 4899 Ć ln(4899) ā 41626, and here it is 47521.
- 4
47521 has no twin: neither 47519 nor 47523 is prime.
Primes around the 4899th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4896 | 47501 | 4 |
| 4897 | 47507 | 6 |
| 4898 | 47513 | 6 |
| 4899 | 47521 | 8 |
| 4900 | 47527 | 6 |
| 4901 | 47533 | 6 |
| 4902 | 47543 | 10 |
Questions
What is the 4899th prime number?
47521.
Which prime number is 47521?
47521 is the 4899th prime number.
What is the sum of the first 4899 primes?
109,600,968.