What is the 4997th prime number?
The 4997th prime number is 48571. The next prime is 48589 (a gap of 18) and the one before is 48563.
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 4997th one is 48571.
- 2
48571 is prime because no prime up to ā48571 ā 220.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4997th prime is close to 4997 Ć ln(4997) ā 42557, and here it is 48571.
- 4
48571 has no twin: neither 48569 nor 48573 is prime.
Primes around the 4997th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4994 | 48539 | 6 |
| 4995 | 48541 | 2 |
| 4996 | 48563 | 22 |
| 4997 | 48571 | 8 |
| 4998 | 48589 | 18 |
| 4999 | 48593 | 4 |
| 5000 | 48611 | 18 |
Questions
What is the 4997th prime number?
48571.
Which prime number is 48571?
48571 is the 4997th prime number.
What is the sum of the first 4997 primes?
114,309,466.