What is the 5903rd prime number?
The 5903rd prime number is 58309. The next prime is 58313 (a gap of 4) and the one before is 58271.
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 5903rd one is 58309.
- 2
58309 is prime because no prime up to ā58309 ā 241.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5903rd prime is close to 5903 Ć ln(5903) ā 51257, and here it is 58309.
- 4
58309 has no twin: neither 58307 nor 58311 is prime.
Primes around the 5903rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5900 | 58237 | 6 |
| 5901 | 58243 | 6 |
| 5902 | 58271 | 28 |
| 5903 | 58309 | 38 |
| 5904 | 58313 | 4 |
| 5905 | 58321 | 8 |
| 5906 | 58337 | 16 |
Questions
What is the 5903rd prime number?
58309.
Which prime number is 58309?
58309 is the 5903rd prime number.
What is the sum of the first 5903 primes?
162,740,812.