What is the 2956th prime number?
The 2956th prime number is 26951. The next prime is 26953 (a gap of 2) and the one before is 26947.
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 2956th one is 26951.
- 2
26951 is prime because no prime up to ā26951 ā 164.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2956th prime is close to 2956 Ć ln(2956) ā 23623, and here it is 26951.
- 4
26951 is a twin prime: 26951 and 26953 are both prime.
Primes around the 2956th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2953 | 26921 | 18 |
| 2954 | 26927 | 6 |
| 2955 | 26947 | 20 |
| 2956 | 26951 | 4 |
| 2957 | 26953 | 2 |
| 2958 | 26959 | 6 |
| 2959 | 26981 | 22 |
Questions
What is the 2956th prime number?
26951.
Which prime number is 26951?
26951 is the 2956th prime number.
What is the sum of the first 2956 primes?
37,448,687.