What is the 5482nd prime number?
The 5482nd prime number is 53813. The next prime is 53819 (a gap of 6) and the one before is 53791.
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 5482nd one is 53813.
- 2
53813 is prime because no prime up to ā53813 ā 231.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5482nd prime is close to 5482 Ć ln(5482) ā 47196, and here it is 53813.
- 4
53813 has no twin: neither 53811 nor 53815 is prime.
Primes around the 5482nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5479 | 53777 | 4 |
| 5480 | 53783 | 6 |
| 5481 | 53791 | 8 |
| 5482 | 53813 | 22 |
| 5483 | 53819 | 6 |
| 5484 | 53831 | 12 |
| 5485 | 53849 | 18 |
Questions
What is the 5482nd prime number?
53813.
Which prime number is 53813?
53813 is the 5482nd prime number.
What is the sum of the first 5482 primes?
139,128,689.