What is the 967th prime number?
The 967th prime number is 7607. The next prime is 7621 (a gap of 14) and the one before is 7603.
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 967th one is 7607.
- 2
7607 is prime because no prime up to ā7607 ā 87.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 967th prime is close to 967 Ć ln(967) ā 6647, and here it is 7607.
- 4
7607 has no twin: neither 7605 nor 7609 is prime.
Primes around the 967th
| Position | Prime | Gap from the previous |
|---|---|---|
| 964 | 7589 | 6 |
| 965 | 7591 | 2 |
| 966 | 7603 | 12 |
| 967 | 7607 | 4 |
| 968 | 7621 | 14 |
| 969 | 7639 | 18 |
| 970 | 7643 | 4 |
Questions
What is the 967th prime number?
7607.
Which prime number is 7607?
7607 is the 967th prime number.
What is the sum of the first 967 primes?
3,426,530.