What is the 5738th prime number?
The 5738th prime number is 56591. The next prime is 56597 (a gap of 6) and the one before is 56569.
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 5738th one is 56591.
- 2
56591 is prime because no prime up to ā56591 ā 237.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5738th prime is close to 5738 Ć ln(5738) ā 49662, and here it is 56591.
- 4
56591 has no twin: neither 56589 nor 56593 is prime.
Primes around the 5738th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5735 | 56533 | 2 |
| 5736 | 56543 | 10 |
| 5737 | 56569 | 26 |
| 5738 | 56591 | 22 |
| 5739 | 56597 | 6 |
| 5740 | 56599 | 2 |
| 5741 | 56611 | 12 |
Questions
What is the 5738th prime number?
56591.
Which prime number is 56591?
56591 is the 5738th prime number.
What is the sum of the first 5738 primes?
153,264,277.