What is the 4993rd prime number?
The 4993rd prime number is 48533. The next prime is 48539 (a gap of 6) and the one before is 48527.
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 4993rd one is 48533.
- 2
48533 is prime because no prime up to ā48533 ā 220.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4993rd prime is close to 4993 Ć ln(4993) ā 42519, and here it is 48533.
- 4
48533 has no twin: neither 48531 nor 48535 is prime.
Primes around the 4993rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4990 | 48497 | 6 |
| 4991 | 48523 | 26 |
| 4992 | 48527 | 4 |
| 4993 | 48533 | 6 |
| 4994 | 48539 | 6 |
| 4995 | 48541 | 2 |
| 4996 | 48563 | 22 |
Questions
What is the 4993rd prime number?
48533.
Which prime number is 48533?
48533 is the 4993rd prime number.
What is the sum of the first 4993 primes?
114,115,252.