What is the 5904th prime number?
The 5904th prime number is 58313. The next prime is 58321 (a gap of 8) and the one before is 58309.
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 5904th one is 58313.
- 2
58313 is prime because no prime up to ā58313 ā 241.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5904th prime is close to 5904 Ć ln(5904) ā 51267, and here it is 58313.
- 4
58313 has no twin: neither 58311 nor 58315 is prime.
Primes around the 5904th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5901 | 58243 | 6 |
| 5902 | 58271 | 28 |
| 5903 | 58309 | 38 |
| 5904 | 58313 | 4 |
| 5905 | 58321 | 8 |
| 5906 | 58337 | 16 |
| 5907 | 58363 | 26 |
Questions
What is the 5904th prime number?
58313.
Which prime number is 58313?
58313 is the 5904th prime number.
What is the sum of the first 5904 primes?
162,799,125.