What is the 5952nd prime number?
The 5952nd prime number is 58901. The next prime is 58907 (a gap of 6) and the one before is 58897.
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 5952nd one is 58901.
- 2
58901 is prime because no prime up to ā58901 ā 242.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5952nd prime is close to 5952 Ć ln(5952) ā 51732, and here it is 58901.
- 4
58901 has no twin: neither 58899 nor 58903 is prime.
Primes around the 5952nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5949 | 58831 | 42 |
| 5950 | 58889 | 58 |
| 5951 | 58897 | 8 |
| 5952 | 58901 | 4 |
| 5953 | 58907 | 6 |
| 5954 | 58909 | 2 |
| 5955 | 58913 | 4 |
Questions
What is the 5952nd prime number?
58901.
Which prime number is 58901?
58901 is the 5952nd prime number.
What is the sum of the first 5952 primes?
165,611,125.