What is the 2922nd prime number?
The 2922nd prime number is 26647. The next prime is 26669 (a gap of 22) and the one before is 26641.
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 2922nd one is 26647.
- 2
26647 is prime because no prime up to ā26647 ā 163.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2922nd prime is close to 2922 Ć ln(2922) ā 23318, and here it is 26647.
- 4
26647 has no twin: neither 26645 nor 26649 is prime.
Primes around the 2922nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2919 | 26627 | 30 |
| 2920 | 26633 | 6 |
| 2921 | 26641 | 8 |
| 2922 | 26647 | 6 |
| 2923 | 26669 | 22 |
| 2924 | 26681 | 12 |
| 2925 | 26683 | 2 |
Questions
What is the 2922nd prime number?
26647.
Which prime number is 26647?
26647 is the 2922nd prime number.
What is the sum of the first 2922 primes?
36,537,621.