What is the 968th prime number?
The 968th prime number is 7621. The next prime is 7639 (a gap of 18) and the one before is 7607.
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 968th one is 7621.
- 2
7621 is prime because no prime up to ā7621 ā 87.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 968th prime is close to 968 Ć ln(968) ā 6655, and here it is 7621.
- 4
7621 has no twin: neither 7619 nor 7623 is prime.
Primes around the 968th
| Position | Prime | Gap from the previous |
|---|---|---|
| 965 | 7591 | 2 |
| 966 | 7603 | 12 |
| 967 | 7607 | 4 |
| 968 | 7621 | 14 |
| 969 | 7639 | 18 |
| 970 | 7643 | 4 |
| 971 | 7649 | 6 |
Questions
What is the 968th prime number?
7621.
Which prime number is 7621?
7621 is the 968th prime number.
What is the sum of the first 968 primes?
3,434,151.