What is the 2964th prime number?
The 2964th prime number is 27031. The next prime is 27043 (a gap of 12) and the one before is 27017.
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 2964th one is 27031.
- 2
27031 is prime because no prime up to ā27031 ā 164.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2964th prime is close to 2964 Ć ln(2964) ā 23695, and here it is 27031.
- 4
27031 has no twin: neither 27029 nor 27033 is prime.
Primes around the 2964th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2961 | 26993 | 6 |
| 2962 | 27011 | 18 |
| 2963 | 27017 | 6 |
| 2964 | 27031 | 14 |
| 2965 | 27043 | 12 |
| 2966 | 27059 | 16 |
| 2967 | 27061 | 2 |
Questions
What is the 2964th prime number?
27031.
Which prime number is 27031?
27031 is the 2964th prime number.
What is the sum of the first 2964 primes?
37,664,619.