What is the 5913th prime number?
The 5913th prime number is 58403. The next prime is 58411 (a gap of 8) and the one before is 58393.
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 5913th one is 58403.
- 2
58403 is prime because no prime up to ā58403 ā 241.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5913th prime is close to 5913 Ć ln(5913) ā 51354, and here it is 58403.
- 4
58403 has no twin: neither 58401 nor 58405 is prime.
Primes around the 5913th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5910 | 58379 | 10 |
| 5911 | 58391 | 12 |
| 5912 | 58393 | 2 |
| 5913 | 58403 | 10 |
| 5914 | 58411 | 8 |
| 5915 | 58417 | 6 |
| 5916 | 58427 | 10 |
Questions
What is the 5913th prime number?
58403.
Which prime number is 58403?
58403 is the 5913th prime number.
What is the sum of the first 5913 primes?
163,324,448.