What is the 5951st prime number?
The 5951st prime number is 58897. The next prime is 58901 (a gap of 4) and the one before is 58889.
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 5951st one is 58897.
- 2
58897 is prime because no prime up to ā58897 ā 242.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5951st prime is close to 5951 Ć ln(5951) ā 51722, and here it is 58897.
- 4
58897 has no twin: neither 58895 nor 58899 is prime.
Primes around the 5951st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5948 | 58789 | 2 |
| 5949 | 58831 | 42 |
| 5950 | 58889 | 58 |
| 5951 | 58897 | 8 |
| 5952 | 58901 | 4 |
| 5953 | 58907 | 6 |
| 5954 | 58909 | 2 |
Questions
What is the 5951st prime number?
58897.
Which prime number is 58897?
58897 is the 5951st prime number.
What is the sum of the first 5951 primes?
165,552,224.