What is the 5462nd prime number?
The 5462nd prime number is 53609. The next prime is 53611 (a gap of 2) and the one before is 53597.
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 5462nd one is 53609.
- 2
53609 is prime because no prime up to ā53609 ā 231.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5462nd prime is close to 5462 Ć ln(5462) ā 47004, and here it is 53609.
- 4
53609 is a twin prime: 53609 and 53611 are both prime.
Primes around the 5462nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5459 | 53591 | 22 |
| 5460 | 53593 | 2 |
| 5461 | 53597 | 4 |
| 5462 | 53609 | 12 |
| 5463 | 53611 | 2 |
| 5464 | 53617 | 6 |
| 5465 | 53623 | 6 |
Questions
What is the 5462nd prime number?
53609.
Which prime number is 53609?
53609 is the 5462nd prime number.
What is the sum of the first 5462 primes?
138,054,691.