What is the 5731st prime number?
The 5731st prime number is 56509. The next prime is 56519 (a gap of 10) and the one before is 56503.
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 5731st one is 56509.
- 2
56509 is prime because no prime up to ā56509 ā 237.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5731st prime is close to 5731 Ć ln(5731) ā 49594, and here it is 56509.
- 4
56509 has no twin: neither 56507 nor 56511 is prime.
Primes around the 5731st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5728 | 56489 | 10 |
| 5729 | 56501 | 12 |
| 5730 | 56503 | 2 |
| 5731 | 56509 | 6 |
| 5732 | 56519 | 10 |
| 5733 | 56527 | 8 |
| 5734 | 56531 | 4 |
Questions
What is the 5731st prime number?
56509.
Which prime number is 56509?
56509 is the 5731st prime number.
What is the sum of the first 5731 primes?
152,868,464.