What is the 966th prime number?
The 966th prime number is 7603. The next prime is 7607 (a gap of 4) and the one before is 7591.
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 966th one is 7603.
- 2
7603 is prime because no prime up to ā7603 ā 87.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 966th prime is close to 966 Ć ln(966) ā 6639, and here it is 7603.
- 4
7603 has no twin: neither 7601 nor 7605 is prime.
Primes around the 966th
| Position | Prime | Gap from the previous |
|---|---|---|
| 963 | 7583 | 6 |
| 964 | 7589 | 6 |
| 965 | 7591 | 2 |
| 966 | 7603 | 12 |
| 967 | 7607 | 4 |
| 968 | 7621 | 14 |
| 969 | 7639 | 18 |
Questions
What is the 966th prime number?
7603.
Which prime number is 7603?
7603 is the 966th prime number.
What is the sum of the first 966 primes?
3,418,923.