What is the 5491st prime number?
The 5491st prime number is 53897. The next prime is 53899 (a gap of 2) and the one before is 53891.
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 5491st one is 53897.
- 2
53897 is prime because no prime up to ā53897 ā 232.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5491st prime is close to 5491 Ć ln(5491) ā 47282, and here it is 53897.
- 4
53897 is a twin prime: 53897 and 53899 are both prime.
Primes around the 5491st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5488 | 53881 | 20 |
| 5489 | 53887 | 6 |
| 5490 | 53891 | 4 |
| 5491 | 53897 | 6 |
| 5492 | 53899 | 2 |
| 5493 | 53917 | 18 |
| 5494 | 53923 | 6 |
Questions
What is the 5491st prime number?
53897.
Which prime number is 53897?
53897 is the 5491st prime number.
What is the sum of the first 5491 primes?
139,613,462.