What is the 2965th prime number?
The 2965th prime number is 27043. The next prime is 27059 (a gap of 16) and the one before is 27031.
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 2965th one is 27043.
- 2
27043 is prime because no prime up to ā27043 ā 164.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2965th prime is close to 2965 Ć ln(2965) ā 23704, and here it is 27043.
- 4
27043 has no twin: neither 27041 nor 27045 is prime.
Primes around the 2965th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2962 | 27011 | 18 |
| 2963 | 27017 | 6 |
| 2964 | 27031 | 14 |
| 2965 | 27043 | 12 |
| 2966 | 27059 | 16 |
| 2967 | 27061 | 2 |
| 2968 | 27067 | 6 |
Questions
What is the 2965th prime number?
27043.
Which prime number is 27043?
27043 is the 2965th prime number.
What is the sum of the first 2965 primes?
37,691,662.