What is the 955th prime number?
The 955th prime number is 7537. The next prime is 7541 (a gap of 4) and the one before is 7529.
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 955th one is 7537.
- 2
7537 is prime because no prime up to ā7537 ā 86.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 955th prime is close to 955 Ć ln(955) ā 6553, and here it is 7537.
- 4
7537 has no twin: neither 7535 nor 7539 is prime.
Primes around the 955th
| Position | Prime | Gap from the previous |
|---|---|---|
| 952 | 7517 | 10 |
| 953 | 7523 | 6 |
| 954 | 7529 | 6 |
| 955 | 7537 | 8 |
| 956 | 7541 | 4 |
| 957 | 7547 | 6 |
| 958 | 7549 | 2 |
Questions
What is the 955th prime number?
7537.
Which prime number is 7537?
7537 is the 955th prime number.
What is the sum of the first 955 primes?
3,335,650.