What is the 2919th prime number?
The 2919th prime number is 26627. The next prime is 26633 (a gap of 6) and the one before is 26597.
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 2919th one is 26627.
- 2
26627 is prime because no prime up to ā26627 ā 163.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2919th prime is close to 2919 Ć ln(2919) ā 23291, and here it is 26627.
- 4
26627 has no twin: neither 26625 nor 26629 is prime.
Primes around the 2919th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2916 | 26573 | 12 |
| 2917 | 26591 | 18 |
| 2918 | 26597 | 6 |
| 2919 | 26627 | 30 |
| 2920 | 26633 | 6 |
| 2921 | 26641 | 8 |
| 2922 | 26647 | 6 |
Questions
What is the 2919th prime number?
26627.
Which prime number is 26627?
26627 is the 2919th prime number.
What is the sum of the first 2919 primes?
36,457,700.