What is the 2966th prime number?
The 2966th prime number is 27059. The next prime is 27061 (a gap of 2) and the one before is 27043.
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 2966th one is 27059.
- 2
27059 is prime because no prime up to ā27059 ā 164.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2966th prime is close to 2966 Ć ln(2966) ā 23713, and here it is 27059.
- 4
27059 is a twin prime: 27059 and 27061 are both prime.
Primes around the 2966th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2963 | 27017 | 6 |
| 2964 | 27031 | 14 |
| 2965 | 27043 | 12 |
| 2966 | 27059 | 16 |
| 2967 | 27061 | 2 |
| 2968 | 27067 | 6 |
| 2969 | 27073 | 6 |
Questions
What is the 2966th prime number?
27059.
Which prime number is 27059?
27059 is the 2966th prime number.
What is the sum of the first 2966 primes?
37,718,721.