What is the 957th prime number?
The 957th prime number is 7547. The next prime is 7549 (a gap of 2) and the one before is 7541.
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 957th one is 7547.
- 2
7547 is prime because no prime up to ā7547 ā 86.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 957th prime is close to 957 Ć ln(957) ā 6569, and here it is 7547.
- 4
7547 is a twin prime: 7547 and 7549 are both prime.
Primes around the 957th
| Position | Prime | Gap from the previous |
|---|---|---|
| 954 | 7529 | 6 |
| 955 | 7537 | 8 |
| 956 | 7541 | 4 |
| 957 | 7547 | 6 |
| 958 | 7549 | 2 |
| 959 | 7559 | 10 |
| 960 | 7561 | 2 |
Questions
What is the 957th prime number?
7547.
Which prime number is 7547?
7547 is the 957th prime number.
What is the sum of the first 957 primes?
3,350,738.