What is the 969th prime number?
The 969th prime number is 7639. The next prime is 7643 (a gap of 4) and the one before is 7621.
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 969th one is 7639.
- 2
7639 is prime because no prime up to ā7639 ā 87.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 969th prime is close to 969 Ć ln(969) ā 6663, and here it is 7639.
- 4
7639 has no twin: neither 7637 nor 7641 is prime.
Primes around the 969th
| Position | Prime | Gap from the previous |
|---|---|---|
| 966 | 7603 | 12 |
| 967 | 7607 | 4 |
| 968 | 7621 | 14 |
| 969 | 7639 | 18 |
| 970 | 7643 | 4 |
| 971 | 7649 | 6 |
| 972 | 7669 | 20 |
Questions
What is the 969th prime number?
7639.
Which prime number is 7639?
7639 is the 969th prime number.
What is the sum of the first 969 primes?
3,441,790.