What is the 5836th prime number?
The 5836th prime number is 57601. The next prime is 57637 (a gap of 36) and the one before is 57593.
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 5836th one is 57601.
- 2
57601 is prime because no prime up to ā57601 ā 240.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5836th prime is close to 5836 Ć ln(5836) ā 50609, and here it is 57601.
- 4
57601 has no twin: neither 57599 nor 57603 is prime.
Primes around the 5836th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5833 | 57571 | 12 |
| 5834 | 57587 | 16 |
| 5835 | 57593 | 6 |
| 5836 | 57601 | 8 |
| 5837 | 57637 | 36 |
| 5838 | 57641 | 4 |
| 5839 | 57649 | 8 |
Questions
What is the 5836th prime number?
57601.
Which prime number is 57601?
57601 is the 5836th prime number.
What is the sum of the first 5836 primes?
158,857,901.