What is the 5835th prime number?
The 5835th prime number is 57593. The next prime is 57601 (a gap of 8) and the one before is 57587.
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 5835th one is 57593.
- 2
57593 is prime because no prime up to ā57593 ā 239.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5835th prime is close to 5835 Ć ln(5835) ā 50599, and here it is 57593.
- 4
57593 has no twin: neither 57591 nor 57595 is prime.
Primes around the 5835th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5832 | 57559 | 2 |
| 5833 | 57571 | 12 |
| 5834 | 57587 | 16 |
| 5835 | 57593 | 6 |
| 5836 | 57601 | 8 |
| 5837 | 57637 | 36 |
| 5838 | 57641 | 4 |
Questions
What is the 5835th prime number?
57593.
Which prime number is 57593?
57593 is the 5835th prime number.
What is the sum of the first 5835 primes?
158,800,300.