What is the 5460th prime number?
The 5460th prime number is 53593. The next prime is 53597 (a gap of 4) and the one before is 53591.
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 5460th one is 53593.
- 2
53593 is prime because no prime up to ā53593 ā 231.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5460th prime is close to 5460 Ć ln(5460) ā 46984, and here it is 53593.
- 4
53593 is a twin prime: 53591 and 53593 are both prime.
Primes around the 5460th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5457 | 53551 | 2 |
| 5458 | 53569 | 18 |
| 5459 | 53591 | 22 |
| 5460 | 53593 | 2 |
| 5461 | 53597 | 4 |
| 5462 | 53609 | 12 |
| 5463 | 53611 | 2 |
Questions
What is the 5460th prime number?
53593.
Which prime number is 53593?
53593 is the 5460th prime number.
What is the sum of the first 5460 primes?
137,947,485.