What is the 5742nd prime number?
The 5742nd prime number is 56629. The next prime is 56633 (a gap of 4) and the one before is 56611.
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 5742nd one is 56629.
- 2
56629 is prime because no prime up to ā56629 ā 237.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5742nd prime is close to 5742 Ć ln(5742) ā 49700, and here it is 56629.
- 4
56629 has no twin: neither 56627 nor 56631 is prime.
Primes around the 5742nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5739 | 56597 | 6 |
| 5740 | 56599 | 2 |
| 5741 | 56611 | 12 |
| 5742 | 56629 | 18 |
| 5743 | 56633 | 4 |
| 5744 | 56659 | 26 |
| 5745 | 56663 | 4 |
Questions
What is the 5742nd prime number?
56629.
Which prime number is 56629?
56629 is the 5742nd prime number.
What is the sum of the first 5742 primes?
153,490,713.