What is the 5839th prime number?
The 5839th prime number is 57649. The next prime is 57653 (a gap of 4) and the one before is 57641.
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 5839th one is 57649.
- 2
57649 is prime because no prime up to ā57649 ā 240.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5839th prime is close to 5839 Ć ln(5839) ā 50638, and here it is 57649.
- 4
57649 has no twin: neither 57647 nor 57651 is prime.
Primes around the 5839th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5836 | 57601 | 8 |
| 5837 | 57637 | 36 |
| 5838 | 57641 | 4 |
| 5839 | 57649 | 8 |
| 5840 | 57653 | 4 |
| 5841 | 57667 | 14 |
| 5842 | 57679 | 12 |
Questions
What is the 5839th prime number?
57649.
Which prime number is 57649?
57649 is the 5839th prime number.
What is the sum of the first 5839 primes?
159,030,828.