What is the 5729th prime number?
The 5729th prime number is 56501. The next prime is 56503 (a gap of 2) and the one before is 56489.
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 5729th one is 56501.
- 2
56501 is prime because no prime up to ā56501 ā 237.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5729th prime is close to 5729 Ć ln(5729) ā 49575, and here it is 56501.
- 4
56501 is a twin prime: 56501 and 56503 are both prime.
Primes around the 5729th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5726 | 56477 | 4 |
| 5727 | 56479 | 2 |
| 5728 | 56489 | 10 |
| 5729 | 56501 | 12 |
| 5730 | 56503 | 2 |
| 5731 | 56509 | 6 |
| 5732 | 56519 | 10 |
Questions
What is the 5729th prime number?
56501.
Which prime number is 56501?
56501 is the 5729th prime number.
What is the sum of the first 5729 primes?
152,755,452.