What is the 5492nd prime number?
The 5492nd prime number is 53899. The next prime is 53917 (a gap of 18) and the one before is 53897.
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 5492nd one is 53899.
- 2
53899 is prime because no prime up to ā53899 ā 232.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5492nd prime is close to 5492 Ć ln(5492) ā 47292, and here it is 53899.
- 4
53899 is a twin prime: 53897 and 53899 are both prime.
Primes around the 5492nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5489 | 53887 | 6 |
| 5490 | 53891 | 4 |
| 5491 | 53897 | 6 |
| 5492 | 53899 | 2 |
| 5493 | 53917 | 18 |
| 5494 | 53923 | 6 |
| 5495 | 53927 | 4 |
Questions
What is the 5492nd prime number?
53899.
Which prime number is 53899?
53899 is the 5492nd prime number.
What is the sum of the first 5492 primes?
139,667,361.