What is the 5728th prime number?
The 5728th prime number is 56489. The next prime is 56501 (a gap of 12) and the one before is 56479.
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 5728th one is 56489.
- 2
56489 is prime because no prime up to ā56489 ā 237.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5728th prime is close to 5728 Ć ln(5728) ā 49565, and here it is 56489.
- 4
56489 has no twin: neither 56487 nor 56491 is prime.
Primes around the 5728th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5725 | 56473 | 6 |
| 5726 | 56477 | 4 |
| 5727 | 56479 | 2 |
| 5728 | 56489 | 10 |
| 5729 | 56501 | 12 |
| 5730 | 56503 | 2 |
| 5731 | 56509 | 6 |
Questions
What is the 5728th prime number?
56489.
Which prime number is 56489?
56489 is the 5728th prime number.
What is the sum of the first 5728 primes?
152,698,951.