What is the 5955th prime number?
The 5955th prime number is 58913. The next prime is 58921 (a gap of 8) and the one before is 58909.
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 5955th one is 58913.
- 2
58913 is prime because no prime up to ā58913 ā 242.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5955th prime is close to 5955 Ć ln(5955) ā 51761, and here it is 58913.
- 4
58913 has no twin: neither 58911 nor 58915 is prime.
Primes around the 5955th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5952 | 58901 | 4 |
| 5953 | 58907 | 6 |
| 5954 | 58909 | 2 |
| 5955 | 58913 | 4 |
| 5956 | 58921 | 8 |
| 5957 | 58937 | 16 |
| 5958 | 58943 | 6 |
Questions
What is the 5955th prime number?
58913.
Which prime number is 58913?
58913 is the 5955th prime number.
What is the sum of the first 5955 primes?
165,787,854.