What is the 950th prime number?
The 950th prime number is 7499. The next prime is 7507 (a gap of 8) and the one before is 7489.
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 950th one is 7499.
- 2
7499 is prime because no prime up to ā7499 ā 86.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 950th prime is close to 950 Ć ln(950) ā 6514, and here it is 7499.
- 4
7499 has no twin: neither 7497 nor 7501 is prime.
Primes around the 950th
| Position | Prime | Gap from the previous |
|---|---|---|
| 947 | 7481 | 4 |
| 948 | 7487 | 6 |
| 949 | 7489 | 2 |
| 950 | 7499 | 10 |
| 951 | 7507 | 8 |
| 952 | 7517 | 10 |
| 953 | 7523 | 6 |
Questions
What is the 950th prime number?
7499.
Which prime number is 7499?
7499 is the 950th prime number.
What is the sum of the first 950 primes?
3,298,037.