What is the 2967th prime number?
The 2967th prime number is 27061. The next prime is 27067 (a gap of 6) and the one before is 27059.
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 2967th one is 27061.
- 2
27061 is prime because no prime up to ā27061 ā 164.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2967th prime is close to 2967 Ć ln(2967) ā 23722, and here it is 27061.
- 4
27061 is a twin prime: 27059 and 27061 are both prime.
Primes around the 2967th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2964 | 27031 | 14 |
| 2965 | 27043 | 12 |
| 2966 | 27059 | 16 |
| 2967 | 27061 | 2 |
| 2968 | 27067 | 6 |
| 2969 | 27073 | 6 |
| 2970 | 27077 | 4 |
Questions
What is the 2967th prime number?
27061.
Which prime number is 27061?
27061 is the 2967th prime number.
What is the sum of the first 2967 primes?
37,745,782.