What is the 5746th prime number?
The 5746th prime number is 56671. The next prime is 56681 (a gap of 10) and the one before is 56663.
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 5746th one is 56671.
- 2
56671 is prime because no prime up to ā56671 ā 238.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5746th prime is close to 5746 Ć ln(5746) ā 49739, and here it is 56671.
- 4
56671 has no twin: neither 56669 nor 56673 is prime.
Primes around the 5746th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5743 | 56633 | 4 |
| 5744 | 56659 | 26 |
| 5745 | 56663 | 4 |
| 5746 | 56671 | 8 |
| 5747 | 56681 | 10 |
| 5748 | 56687 | 6 |
| 5749 | 56701 | 14 |
Questions
What is the 5746th prime number?
56671.
Which prime number is 56671?
56671 is the 5746th prime number.
What is the sum of the first 5746 primes?
153,717,339.