What is the 5642nd prime number?
The 5642nd prime number is 55619. The next prime is 55621 (a gap of 2) and the one before is 55609.
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 5642nd one is 55619.
- 2
55619 is prime because no prime up to ā55619 ā 235.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5642nd prime is close to 5642 Ć ln(5642) ā 48736, and here it is 55619.
- 4
55619 is a twin prime: 55619 and 55621 are both prime.
Primes around the 5642nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5639 | 55589 | 10 |
| 5640 | 55603 | 14 |
| 5641 | 55609 | 6 |
| 5642 | 55619 | 10 |
| 5643 | 55621 | 2 |
| 5644 | 55631 | 10 |
| 5645 | 55633 | 2 |
Questions
What is the 5642nd prime number?
55619.
Which prime number is 55619?
55619 is the 5642nd prime number.
What is the sum of the first 5642 primes?
147,879,593.