What is the 2957th prime number?
The 2957th prime number is 26953. The next prime is 26959 (a gap of 6) and the one before is 26951.
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 2957th one is 26953.
- 2
26953 is prime because no prime up to ā26953 ā 164.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2957th prime is close to 2957 Ć ln(2957) ā 23632, and here it is 26953.
- 4
26953 is a twin prime: 26951 and 26953 are both prime.
Primes around the 2957th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2954 | 26927 | 6 |
| 2955 | 26947 | 20 |
| 2956 | 26951 | 4 |
| 2957 | 26953 | 2 |
| 2958 | 26959 | 6 |
| 2959 | 26981 | 22 |
| 2960 | 26987 | 6 |
Questions
What is the 2957th prime number?
26953.
Which prime number is 26953?
26953 is the 2957th prime number.
What is the sum of the first 2957 primes?
37,475,640.