What is the 952nd prime number?
The 952nd prime number is 7517. The next prime is 7523 (a gap of 6) and the one before is 7507.
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 952nd one is 7517.
- 2
7517 is prime because no prime up to ā7517 ā 86.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 952nd prime is close to 952 Ć ln(952) ā 6529, and here it is 7517.
- 4
7517 has no twin: neither 7515 nor 7519 is prime.
Primes around the 952nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 949 | 7489 | 2 |
| 950 | 7499 | 10 |
| 951 | 7507 | 8 |
| 952 | 7517 | 10 |
| 953 | 7523 | 6 |
| 954 | 7529 | 6 |
| 955 | 7537 | 8 |
Questions
What is the 952nd prime number?
7517.
Which prime number is 7517?
7517 is the 952nd prime number.
What is the sum of the first 952 primes?
3,313,061.