What is the 4998th prime number?
The 4998th prime number is 48589. The next prime is 48593 (a gap of 4) and the one before is 48571.
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 4998th one is 48589.
- 2
48589 is prime because no prime up to ā48589 ā 220.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4998th prime is close to 4998 Ć ln(4998) ā 42567, and here it is 48589.
- 4
48589 has no twin: neither 48587 nor 48591 is prime.
Primes around the 4998th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4995 | 48541 | 2 |
| 4996 | 48563 | 22 |
| 4997 | 48571 | 8 |
| 4998 | 48589 | 18 |
| 4999 | 48593 | 4 |
| 5000 | 48611 | 18 |
| 5001 | 48619 | 8 |
Questions
What is the 4998th prime number?
48589.
Which prime number is 48589?
48589 is the 4998th prime number.
What is the sum of the first 4998 primes?
114,358,055.