What is the 5752nd prime number?
The 5752nd prime number is 56731. The next prime is 56737 (a gap of 6) and the one before is 56713.
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 5752nd one is 56731.
- 2
56731 is prime because no prime up to ā56731 ā 238.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5752nd prime is close to 5752 Ć ln(5752) ā 49797, and here it is 56731.
- 4
56731 has no twin: neither 56729 nor 56733 is prime.
Primes around the 5752nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5749 | 56701 | 14 |
| 5750 | 56711 | 10 |
| 5751 | 56713 | 2 |
| 5752 | 56731 | 18 |
| 5753 | 56737 | 6 |
| 5754 | 56747 | 10 |
| 5755 | 56767 | 20 |
Questions
What is the 5752nd prime number?
56731.
Which prime number is 56731?
56731 is the 5752nd prime number.
What is the sum of the first 5752 primes?
154,057,563.