What is the 5741st prime number?
The 5741st prime number is 56611. The next prime is 56629 (a gap of 18) and the one before is 56599.
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 5741st one is 56611.
- 2
56611 is prime because no prime up to ā56611 ā 237.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5741st prime is close to 5741 Ć ln(5741) ā 49691, and here it is 56611.
- 4
56611 has no twin: neither 56609 nor 56613 is prime.
Primes around the 5741st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5738 | 56591 | 22 |
| 5739 | 56597 | 6 |
| 5740 | 56599 | 2 |
| 5741 | 56611 | 12 |
| 5742 | 56629 | 18 |
| 5743 | 56633 | 4 |
| 5744 | 56659 | 26 |
Questions
What is the 5741st prime number?
56611.
Which prime number is 56611?
56611 is the 5741st prime number.
What is the sum of the first 5741 primes?
153,434,084.