What is the 5388th prime number?
The 5388th prime number is 52783. The next prime is 52807 (a gap of 24) and the one before is 52769.
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 5388th one is 52783.
- 2
52783 is prime because no prime up to ā52783 ā 229.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5388th prime is close to 5388 Ć ln(5388) ā 46293, and here it is 52783.
- 4
52783 has no twin: neither 52781 nor 52785 is prime.
Primes around the 5388th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5385 | 52747 | 14 |
| 5386 | 52757 | 10 |
| 5387 | 52769 | 12 |
| 5388 | 52783 | 14 |
| 5389 | 52807 | 24 |
| 5390 | 52813 | 6 |
| 5391 | 52817 | 4 |
Questions
What is the 5388th prime number?
52783.
Which prime number is 52783?
52783 is the 5388th prime number.
What is the sum of the first 5388 primes?
134,118,643.