What is the 4992nd prime number?
The 4992nd prime number is 48527. The next prime is 48533 (a gap of 6) and the one before is 48523.
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 4992nd one is 48527.
- 2
48527 is prime because no prime up to ā48527 ā 220.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4992nd prime is close to 4992 Ć ln(4992) ā 42510, and here it is 48527.
- 4
48527 has no twin: neither 48525 nor 48529 is prime.
Primes around the 4992nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4989 | 48491 | 4 |
| 4990 | 48497 | 6 |
| 4991 | 48523 | 26 |
| 4992 | 48527 | 4 |
| 4993 | 48533 | 6 |
| 4994 | 48539 | 6 |
| 4995 | 48541 | 2 |
Questions
What is the 4992nd prime number?
48527.
Which prime number is 48527?
48527 is the 4992nd prime number.
What is the sum of the first 4992 primes?
114,066,719.