What is the 5837th prime number?
The 5837th prime number is 57637. The next prime is 57641 (a gap of 4) and the one before is 57601.
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 5837th one is 57637.
- 2
57637 is prime because no prime up to ā57637 ā 240.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5837th prime is close to 5837 Ć ln(5837) ā 50618, and here it is 57637.
- 4
57637 has no twin: neither 57635 nor 57639 is prime.
Primes around the 5837th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5834 | 57587 | 16 |
| 5835 | 57593 | 6 |
| 5836 | 57601 | 8 |
| 5837 | 57637 | 36 |
| 5838 | 57641 | 4 |
| 5839 | 57649 | 8 |
| 5840 | 57653 | 4 |
Questions
What is the 5837th prime number?
57637.
Which prime number is 57637?
57637 is the 5837th prime number.
What is the sum of the first 5837 primes?
158,915,538.