What is the 2961st prime number?
The 2961st prime number is 26993. The next prime is 27011 (a gap of 18) and the one before is 26987.
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 2961st one is 26993.
- 2
26993 is prime because no prime up to ā26993 ā 164.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2961st prime is close to 2961 Ć ln(2961) ā 23668, and here it is 26993.
- 4
26993 has no twin: neither 26991 nor 26995 is prime.
Primes around the 2961st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2958 | 26959 | 6 |
| 2959 | 26981 | 22 |
| 2960 | 26987 | 6 |
| 2961 | 26993 | 6 |
| 2962 | 27011 | 18 |
| 2963 | 27017 | 6 |
| 2964 | 27031 | 14 |
Questions
What is the 2961st prime number?
26993.
Which prime number is 26993?
26993 is the 2961st prime number.
What is the sum of the first 2961 primes?
37,583,560.