What is the 2951st prime number?
The 2951st prime number is 26893. The next prime is 26903 (a gap of 10) and the one before is 26891.
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 2951st one is 26893.
- 2
26893 is prime because no prime up to ā26893 ā 163.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2951st prime is close to 2951 Ć ln(2951) ā 23578, and here it is 26893.
- 4
26893 is a twin prime: 26891 and 26893 are both prime.
Primes around the 2951st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2948 | 26879 | 16 |
| 2949 | 26881 | 2 |
| 2950 | 26891 | 10 |
| 2951 | 26893 | 2 |
| 2952 | 26903 | 10 |
| 2953 | 26921 | 18 |
| 2954 | 26927 | 6 |
Questions
What is the 2951st prime number?
26893.
Which prime number is 26893?
26893 is the 2951st prime number.
What is the sum of the first 2951 primes?
37,314,038.