What is the 5490th prime number?
The 5490th prime number is 53891. The next prime is 53897 (a gap of 6) and the one before is 53887.
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 5490th one is 53891.
- 2
53891 is prime because no prime up to ā53891 ā 232.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5490th prime is close to 5490 Ć ln(5490) ā 47273, and here it is 53891.
- 4
53891 has no twin: neither 53889 nor 53893 is prime.
Primes around the 5490th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5487 | 53861 | 4 |
| 5488 | 53881 | 20 |
| 5489 | 53887 | 6 |
| 5490 | 53891 | 4 |
| 5491 | 53897 | 6 |
| 5492 | 53899 | 2 |
| 5493 | 53917 | 18 |
Questions
What is the 5490th prime number?
53891.
Which prime number is 53891?
53891 is the 5490th prime number.
What is the sum of the first 5490 primes?
139,559,565.