What is the 4892nd prime number?
The 4892nd prime number is 47441. The next prime is 47459 (a gap of 18) and the one before is 47431.
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 4892nd one is 47441.
- 2
47441 is prime because no prime up to ā47441 ā 217.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4892nd prime is close to 4892 Ć ln(4892) ā 41559, and here it is 47441.
- 4
47441 has no twin: neither 47439 nor 47443 is prime.
Primes around the 4892nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4889 | 47417 | 10 |
| 4890 | 47419 | 2 |
| 4891 | 47431 | 12 |
| 4892 | 47441 | 10 |
| 4893 | 47459 | 18 |
| 4894 | 47491 | 32 |
| 4895 | 47497 | 6 |
Questions
What is the 4892nd prime number?
47441.
Which prime number is 47441?
47441 is the 4892nd prime number.
What is the sum of the first 4892 primes?
109,268,479.