What is the 5953rd prime number?
The 5953rd prime number is 58907. The next prime is 58909 (a gap of 2) and the one before is 58901.
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 5953rd one is 58907.
- 2
58907 is prime because no prime up to ā58907 ā 242.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5953rd prime is close to 5953 Ć ln(5953) ā 51741, and here it is 58907.
- 4
58907 is a twin prime: 58907 and 58909 are both prime.
Primes around the 5953rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5950 | 58889 | 58 |
| 5951 | 58897 | 8 |
| 5952 | 58901 | 4 |
| 5953 | 58907 | 6 |
| 5954 | 58909 | 2 |
| 5955 | 58913 | 4 |
| 5956 | 58921 | 8 |
Questions
What is the 5953rd prime number?
58907.
Which prime number is 58907?
58907 is the 5953rd prime number.
What is the sum of the first 5953 primes?
165,670,032.