What is the 2923rd prime number?
The 2923rd prime number is 26669. The next prime is 26681 (a gap of 12) and the one before is 26647.
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 2923rd one is 26669.
- 2
26669 is prime because no prime up to ā26669 ā 163.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2923rd prime is close to 2923 Ć ln(2923) ā 23327, and here it is 26669.
- 4
26669 has no twin: neither 26667 nor 26671 is prime.
Primes around the 2923rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2920 | 26633 | 6 |
| 2921 | 26641 | 8 |
| 2922 | 26647 | 6 |
| 2923 | 26669 | 22 |
| 2924 | 26681 | 12 |
| 2925 | 26683 | 2 |
| 2926 | 26687 | 4 |
Questions
What is the 2923rd prime number?
26669.
Which prime number is 26669?
26669 is the 2923rd prime number.
What is the sum of the first 2923 primes?
36,564,290.