What is the 5484th prime number?
The 5484th prime number is 53831. The next prime is 53849 (a gap of 18) and the one before is 53819.
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 5484th one is 53831.
- 2
53831 is prime because no prime up to ā53831 ā 232.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5484th prime is close to 5484 Ć ln(5484) ā 47215, and here it is 53831.
- 4
53831 has no twin: neither 53829 nor 53833 is prime.
Primes around the 5484th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5481 | 53791 | 8 |
| 5482 | 53813 | 22 |
| 5483 | 53819 | 6 |
| 5484 | 53831 | 12 |
| 5485 | 53849 | 18 |
| 5486 | 53857 | 8 |
| 5487 | 53861 | 4 |
Questions
What is the 5484th prime number?
53831.
Which prime number is 53831?
53831 is the 5484th prime number.
What is the sum of the first 5484 primes?
139,236,339.