What is the 5744th prime number?
The 5744th prime number is 56659. The next prime is 56663 (a gap of 4) and the one before is 56633.
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 5744th one is 56659.
- 2
56659 is prime because no prime up to ā56659 ā 238.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5744th prime is close to 5744 Ć ln(5744) ā 49720, and here it is 56659.
- 4
56659 has no twin: neither 56657 nor 56661 is prime.
Primes around the 5744th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5741 | 56611 | 12 |
| 5742 | 56629 | 18 |
| 5743 | 56633 | 4 |
| 5744 | 56659 | 26 |
| 5745 | 56663 | 4 |
| 5746 | 56671 | 8 |
| 5747 | 56681 | 10 |
Questions
What is the 5744th prime number?
56659.
Which prime number is 56659?
56659 is the 5744th prime number.
What is the sum of the first 5744 primes?
153,604,005.