What is the 2962nd prime number?
The 2962nd prime number is 27011. The next prime is 27017 (a gap of 6) and the one before is 26993.
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 2962nd one is 27011.
- 2
27011 is prime because no prime up to ā27011 ā 164.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2962nd prime is close to 2962 Ć ln(2962) ā 23677, and here it is 27011.
- 4
27011 has no twin: neither 27009 nor 27013 is prime.
Primes around the 2962nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2959 | 26981 | 22 |
| 2960 | 26987 | 6 |
| 2961 | 26993 | 6 |
| 2962 | 27011 | 18 |
| 2963 | 27017 | 6 |
| 2964 | 27031 | 14 |
| 2965 | 27043 | 12 |
Questions
What is the 2962nd prime number?
27011.
Which prime number is 27011?
27011 is the 2962nd prime number.
What is the sum of the first 2962 primes?
37,610,571.