What is the 953rd prime number?
The 953rd prime number is 7523. The next prime is 7529 (a gap of 6) and the one before is 7517.
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 953rd one is 7523.
- 2
7523 is prime because no prime up to ā7523 ā 86.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 953rd prime is close to 953 Ć ln(953) ā 6537, and here it is 7523.
- 4
7523 has no twin: neither 7521 nor 7525 is prime.
Primes around the 953rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 950 | 7499 | 10 |
| 951 | 7507 | 8 |
| 952 | 7517 | 10 |
| 953 | 7523 | 6 |
| 954 | 7529 | 6 |
| 955 | 7537 | 8 |
| 956 | 7541 | 4 |
Questions
What is the 953rd prime number?
7523.
Which prime number is 7523?
7523 is the 953rd prime number.
What is the sum of the first 953 primes?
3,320,584.