What is the 956th prime number?
The 956th prime number is 7541. The next prime is 7547 (a gap of 6) and the one before is 7537.
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 956th one is 7541.
- 2
7541 is prime because no prime up to ā7541 ā 86.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 956th prime is close to 956 Ć ln(956) ā 6561, and here it is 7541.
- 4
7541 has no twin: neither 7539 nor 7543 is prime.
Primes around the 956th
| Position | Prime | Gap from the previous |
|---|---|---|
| 953 | 7523 | 6 |
| 954 | 7529 | 6 |
| 955 | 7537 | 8 |
| 956 | 7541 | 4 |
| 957 | 7547 | 6 |
| 958 | 7549 | 2 |
| 959 | 7559 | 10 |
Questions
What is the 956th prime number?
7541.
Which prime number is 7541?
7541 is the 956th prime number.
What is the sum of the first 956 primes?
3,343,191.