What is the 4994th prime number?
The 4994th prime number is 48539. The next prime is 48541 (a gap of 2) and the one before is 48533.
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 4994th one is 48539.
- 2
48539 is prime because no prime up to ā48539 ā 220.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4994th prime is close to 4994 Ć ln(4994) ā 42529, and here it is 48539.
- 4
48539 is a twin prime: 48539 and 48541 are both prime.
Primes around the 4994th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4991 | 48523 | 26 |
| 4992 | 48527 | 4 |
| 4993 | 48533 | 6 |
| 4994 | 48539 | 6 |
| 4995 | 48541 | 2 |
| 4996 | 48563 | 22 |
| 4997 | 48571 | 8 |
Questions
What is the 4994th prime number?
48539.
Which prime number is 48539?
48539 is the 4994th prime number.
What is the sum of the first 4994 primes?
114,163,791.