What is the 5730th prime number?
The 5730th prime number is 56503. The next prime is 56509 (a gap of 6) and the one before is 56501.
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 5730th one is 56503.
- 2
56503 is prime because no prime up to ā56503 ā 237.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5730th prime is close to 5730 Ć ln(5730) ā 49584, and here it is 56503.
- 4
56503 is a twin prime: 56501 and 56503 are both prime.
Primes around the 5730th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5727 | 56479 | 2 |
| 5728 | 56489 | 10 |
| 5729 | 56501 | 12 |
| 5730 | 56503 | 2 |
| 5731 | 56509 | 6 |
| 5732 | 56519 | 10 |
| 5733 | 56527 | 8 |
Questions
What is the 5730th prime number?
56503.
Which prime number is 56503?
56503 is the 5730th prime number.
What is the sum of the first 5730 primes?
152,811,955.