What is the 4999th prime number?
The 4999th prime number is 48593. The next prime is 48611 (a gap of 18) and the one before is 48589.
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 4999th one is 48593.
- 2
48593 is prime because no prime up to ā48593 ā 220.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4999th prime is close to 4999 Ć ln(4999) ā 42576, and here it is 48593.
- 4
48593 has no twin: neither 48591 nor 48595 is prime.
Primes around the 4999th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4996 | 48563 | 22 |
| 4997 | 48571 | 8 |
| 4998 | 48589 | 18 |
| 4999 | 48593 | 4 |
| 5000 | 48611 | 18 |
| 5001 | 48619 | 8 |
| 5002 | 48623 | 4 |
Questions
What is the 4999th prime number?
48593.
Which prime number is 48593?
48593 is the 4999th prime number.
What is the sum of the first 4999 primes?
114,406,648.