What is the 5745th prime number?
The 5745th prime number is 56663. The next prime is 56671 (a gap of 8) and the one before is 56659.
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 5745th one is 56663.
- 2
56663 is prime because no prime up to ā56663 ā 238.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5745th prime is close to 5745 Ć ln(5745) ā 49729, and here it is 56663.
- 4
56663 has no twin: neither 56661 nor 56665 is prime.
Primes around the 5745th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5742 | 56629 | 18 |
| 5743 | 56633 | 4 |
| 5744 | 56659 | 26 |
| 5745 | 56663 | 4 |
| 5746 | 56671 | 8 |
| 5747 | 56681 | 10 |
| 5748 | 56687 | 6 |
Questions
What is the 5745th prime number?
56663.
Which prime number is 56663?
56663 is the 5745th prime number.
What is the sum of the first 5745 primes?
153,660,668.