What is the 5387th prime number?
The 5387th prime number is 52769. The next prime is 52783 (a gap of 14) and the one before is 52757.
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 5387th one is 52769.
- 2
52769 is prime because no prime up to ā52769 ā 229.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5387th prime is close to 5387 Ć ln(5387) ā 46284, and here it is 52769.
- 4
52769 has no twin: neither 52767 nor 52771 is prime.
Primes around the 5387th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5384 | 52733 | 6 |
| 5385 | 52747 | 14 |
| 5386 | 52757 | 10 |
| 5387 | 52769 | 12 |
| 5388 | 52783 | 14 |
| 5389 | 52807 | 24 |
| 5390 | 52813 | 6 |
Questions
What is the 5387th prime number?
52769.
Which prime number is 52769?
52769 is the 5387th prime number.
What is the sum of the first 5387 primes?
134,065,860.