What is the 2968th prime number?
The 2968th prime number is 27067. The next prime is 27073 (a gap of 6) and the one before is 27061.
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 2968th one is 27067.
- 2
27067 is prime because no prime up to ā27067 ā 164.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2968th prime is close to 2968 Ć ln(2968) ā 23731, and here it is 27067.
- 4
27067 has no twin: neither 27065 nor 27069 is prime.
Primes around the 2968th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2965 | 27043 | 12 |
| 2966 | 27059 | 16 |
| 2967 | 27061 | 2 |
| 2968 | 27067 | 6 |
| 2969 | 27073 | 6 |
| 2970 | 27077 | 4 |
| 2971 | 27091 | 14 |
Questions
What is the 2968th prime number?
27067.
Which prime number is 27067?
27067 is the 2968th prime number.
What is the sum of the first 2968 primes?
37,772,849.