What is the 5956th prime number?
The 5956th prime number is 58921. The next prime is 58937 (a gap of 16) and the one before is 58913.
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 5956th one is 58921.
- 2
58921 is prime because no prime up to ā58921 ā 242.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5956th prime is close to 5956 Ć ln(5956) ā 51770, and here it is 58921.
- 4
58921 has no twin: neither 58919 nor 58923 is prime.
Primes around the 5956th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5953 | 58907 | 6 |
| 5954 | 58909 | 2 |
| 5955 | 58913 | 4 |
| 5956 | 58921 | 8 |
| 5957 | 58937 | 16 |
| 5958 | 58943 | 6 |
| 5959 | 58963 | 20 |
Questions
What is the 5956th prime number?
58921.
Which prime number is 58921?
58921 is the 5956th prime number.
What is the sum of the first 5956 primes?
165,846,775.