What is the 5840th prime number?
The 5840th prime number is 57653. The next prime is 57667 (a gap of 14) and the one before is 57649.
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 5840th one is 57653.
- 2
57653 is prime because no prime up to ā57653 ā 240.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5840th prime is close to 5840 Ć ln(5840) ā 50647, and here it is 57653.
- 4
57653 has no twin: neither 57651 nor 57655 is prime.
Primes around the 5840th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5837 | 57637 | 36 |
| 5838 | 57641 | 4 |
| 5839 | 57649 | 8 |
| 5840 | 57653 | 4 |
| 5841 | 57667 | 14 |
| 5842 | 57679 | 12 |
| 5843 | 57689 | 10 |
Questions
What is the 5840th prime number?
57653.
Which prime number is 57653?
57653 is the 5840th prime number.
What is the sum of the first 5840 primes?
159,088,481.