What is the 5489th prime number?
The 5489th prime number is 53887. The next prime is 53891 (a gap of 4) and the one before is 53881.
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 5489th one is 53887.
- 2
53887 is prime because no prime up to ā53887 ā 232.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5489th prime is close to 5489 Ć ln(5489) ā 47263, and here it is 53887.
- 4
53887 has no twin: neither 53885 nor 53889 is prime.
Primes around the 5489th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5486 | 53857 | 8 |
| 5487 | 53861 | 4 |
| 5488 | 53881 | 20 |
| 5489 | 53887 | 6 |
| 5490 | 53891 | 4 |
| 5491 | 53897 | 6 |
| 5492 | 53899 | 2 |
Questions
What is the 5489th prime number?
53887.
Which prime number is 53887?
53887 is the 5489th prime number.
What is the sum of the first 5489 primes?
139,505,674.