What is the 951st prime number?
The 951st prime number is 7507. The next prime is 7517 (a gap of 10) and the one before is 7499.
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 951st one is 7507.
- 2
7507 is prime because no prime up to ā7507 ā 86.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 951st prime is close to 951 Ć ln(951) ā 6521, and here it is 7507.
- 4
7507 has no twin: neither 7505 nor 7509 is prime.
Primes around the 951st
| Position | Prime | Gap from the previous |
|---|---|---|
| 948 | 7487 | 6 |
| 949 | 7489 | 2 |
| 950 | 7499 | 10 |
| 951 | 7507 | 8 |
| 952 | 7517 | 10 |
| 953 | 7523 | 6 |
| 954 | 7529 | 6 |
Questions
What is the 951st prime number?
7507.
Which prime number is 7507?
7507 is the 951st prime number.
What is the sum of the first 951 primes?
3,305,544.