What is the 2958th prime number?
The 2958th prime number is 26959. The next prime is 26981 (a gap of 22) and the one before is 26953.
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 2958th one is 26959.
- 2
26959 is prime because no prime up to ā26959 ā 164.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2958th prime is close to 2958 Ć ln(2958) ā 23641, and here it is 26959.
- 4
26959 has no twin: neither 26957 nor 26961 is prime.
Primes around the 2958th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2955 | 26947 | 20 |
| 2956 | 26951 | 4 |
| 2957 | 26953 | 2 |
| 2958 | 26959 | 6 |
| 2959 | 26981 | 22 |
| 2960 | 26987 | 6 |
| 2961 | 26993 | 6 |
Questions
What is the 2958th prime number?
26959.
Which prime number is 26959?
26959 is the 2958th prime number.
What is the sum of the first 2958 primes?
37,502,599.