What is the 5957th prime number?
The 5957th prime number is 58937. The next prime is 58943 (a gap of 6) and the one before is 58921.
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 5957th one is 58937.
- 2
58937 is prime because no prime up to ā58937 ā 242.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5957th prime is close to 5957 Ć ln(5957) ā 51780, and here it is 58937.
- 4
58937 has no twin: neither 58935 nor 58939 is prime.
Primes around the 5957th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5954 | 58909 | 2 |
| 5955 | 58913 | 4 |
| 5956 | 58921 | 8 |
| 5957 | 58937 | 16 |
| 5958 | 58943 | 6 |
| 5959 | 58963 | 20 |
| 5960 | 58967 | 4 |
Questions
What is the 5957th prime number?
58937.
Which prime number is 58937?
58937 is the 5957th prime number.
What is the sum of the first 5957 primes?
165,905,712.