What is the 5912th prime number?
The 5912th prime number is 58393. The next prime is 58403 (a gap of 10) and the one before is 58391.
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 5912th one is 58393.
- 2
58393 is prime because no prime up to ā58393 ā 241.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5912th prime is close to 5912 Ć ln(5912) ā 51344, and here it is 58393.
- 4
58393 is a twin prime: 58391 and 58393 are both prime.
Primes around the 5912th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5909 | 58369 | 2 |
| 5910 | 58379 | 10 |
| 5911 | 58391 | 12 |
| 5912 | 58393 | 2 |
| 5913 | 58403 | 10 |
| 5914 | 58411 | 8 |
| 5915 | 58417 | 6 |
Questions
What is the 5912th prime number?
58393.
Which prime number is 58393?
58393 is the 5912th prime number.
What is the sum of the first 5912 primes?
163,266,045.