What is the 5386th prime number?
The 5386th prime number is 52757. The next prime is 52769 (a gap of 12) and the one before is 52747.
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 5386th one is 52757.
- 2
52757 is prime because no prime up to ā52757 ā 229.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5386th prime is close to 5386 Ć ln(5386) ā 46274, and here it is 52757.
- 4
52757 has no twin: neither 52755 nor 52759 is prime.
Primes around the 5386th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5383 | 52727 | 6 |
| 5384 | 52733 | 6 |
| 5385 | 52747 | 14 |
| 5386 | 52757 | 10 |
| 5387 | 52769 | 12 |
| 5388 | 52783 | 14 |
| 5389 | 52807 | 24 |
Questions
What is the 5386th prime number?
52757.
Which prime number is 52757?
52757 is the 5386th prime number.
What is the sum of the first 5386 primes?
134,013,091.