What is the 5727th prime number?
The 5727th prime number is 56479. The next prime is 56489 (a gap of 10) and the one before is 56477.
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 5727th one is 56479.
- 2
56479 is prime because no prime up to ā56479 ā 237.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5727th prime is close to 5727 Ć ln(5727) ā 49555, and here it is 56479.
- 4
56479 is a twin prime: 56477 and 56479 are both prime.
Primes around the 5727th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5724 | 56467 | 14 |
| 5725 | 56473 | 6 |
| 5726 | 56477 | 4 |
| 5727 | 56479 | 2 |
| 5728 | 56489 | 10 |
| 5729 | 56501 | 12 |
| 5730 | 56503 | 2 |
Questions
What is the 5727th prime number?
56479.
Which prime number is 56479?
56479 is the 5727th prime number.
What is the sum of the first 5727 primes?
152,642,462.