What is the 5838th prime number?
The 5838th prime number is 57641. The next prime is 57649 (a gap of 8) and the one before is 57637.
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 5838th one is 57641.
- 2
57641 is prime because no prime up to ā57641 ā 240.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5838th prime is close to 5838 Ć ln(5838) ā 50628, and here it is 57641.
- 4
57641 has no twin: neither 57639 nor 57643 is prime.
Primes around the 5838th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5835 | 57593 | 6 |
| 5836 | 57601 | 8 |
| 5837 | 57637 | 36 |
| 5838 | 57641 | 4 |
| 5839 | 57649 | 8 |
| 5840 | 57653 | 4 |
| 5841 | 57667 | 14 |
Questions
What is the 5838th prime number?
57641.
Which prime number is 57641?
57641 is the 5838th prime number.
What is the sum of the first 5838 primes?
158,973,179.