What is the 5726th prime number?
The 5726th prime number is 56477. The next prime is 56479 (a gap of 2) and the one before is 56473.
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 5726th one is 56477.
- 2
56477 is prime because no prime up to ā56477 ā 237.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5726th prime is close to 5726 Ć ln(5726) ā 49546, and here it is 56477.
- 4
56477 is a twin prime: 56477 and 56479 are both prime.
Primes around the 5726th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5723 | 56453 | 10 |
| 5724 | 56467 | 14 |
| 5725 | 56473 | 6 |
| 5726 | 56477 | 4 |
| 5727 | 56479 | 2 |
| 5728 | 56489 | 10 |
| 5729 | 56501 | 12 |
Questions
What is the 5726th prime number?
56477.
Which prime number is 56477?
56477 is the 5726th prime number.
What is the sum of the first 5726 primes?
152,585,983.