What is the 5959th prime number?
The 5959th prime number is 58963. The next prime is 58967 (a gap of 4) and the one before is 58943.
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 5959th one is 58963.
- 2
58963 is prime because no prime up to ā58963 ā 242.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5959th prime is close to 5959 Ć ln(5959) ā 51800, and here it is 58963.
- 4
58963 has no twin: neither 58961 nor 58965 is prime.
Primes around the 5959th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5956 | 58921 | 8 |
| 5957 | 58937 | 16 |
| 5958 | 58943 | 6 |
| 5959 | 58963 | 20 |
| 5960 | 58967 | 4 |
| 5961 | 58979 | 12 |
| 5962 | 58991 | 12 |
Questions
What is the 5959th prime number?
58963.
Which prime number is 58963?
58963 is the 5959th prime number.
What is the sum of the first 5959 primes?
166,023,618.