What is the 5485th prime number?
The 5485th prime number is 53849. The next prime is 53857 (a gap of 8) and the one before is 53831.
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 5485th one is 53849.
- 2
53849 is prime because no prime up to ā53849 ā 232.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5485th prime is close to 5485 Ć ln(5485) ā 47225, and here it is 53849.
- 4
53849 has no twin: neither 53847 nor 53851 is prime.
Primes around the 5485th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5482 | 53813 | 22 |
| 5483 | 53819 | 6 |
| 5484 | 53831 | 12 |
| 5485 | 53849 | 18 |
| 5486 | 53857 | 8 |
| 5487 | 53861 | 4 |
| 5488 | 53881 | 20 |
Questions
What is the 5485th prime number?
53849.
Which prime number is 53849?
53849 is the 5485th prime number.
What is the sum of the first 5485 primes?
139,290,188.