What is the 5735th prime number?
The 5735th prime number is 56533. The next prime is 56543 (a gap of 10) and the one before is 56531.
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 5735th one is 56533.
- 2
56533 is prime because no prime up to ā56533 ā 237.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5735th prime is close to 5735 Ć ln(5735) ā 49633, and here it is 56533.
- 4
56533 is a twin prime: 56531 and 56533 are both prime.
Primes around the 5735th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5732 | 56519 | 10 |
| 5733 | 56527 | 8 |
| 5734 | 56531 | 4 |
| 5735 | 56533 | 2 |
| 5736 | 56543 | 10 |
| 5737 | 56569 | 26 |
| 5738 | 56591 | 22 |
Questions
What is the 5735th prime number?
56533.
Which prime number is 56533?
56533 is the 5735th prime number.
What is the sum of the first 5735 primes?
153,094,574.