What is the 5732nd prime number?
The 5732nd prime number is 56519. The next prime is 56527 (a gap of 8) and the one before is 56509.
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 5732nd one is 56519.
- 2
56519 is prime because no prime up to ā56519 ā 237.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5732nd prime is close to 5732 Ć ln(5732) ā 49604, and here it is 56519.
- 4
56519 has no twin: neither 56517 nor 56521 is prime.
Primes around the 5732nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5729 | 56501 | 12 |
| 5730 | 56503 | 2 |
| 5731 | 56509 | 6 |
| 5732 | 56519 | 10 |
| 5733 | 56527 | 8 |
| 5734 | 56531 | 4 |
| 5735 | 56533 | 2 |
Questions
What is the 5732nd prime number?
56519.
Which prime number is 56519?
56519 is the 5732nd prime number.
What is the sum of the first 5732 primes?
152,924,983.