What is the 2933rd prime number?
The 2933rd prime number is 26723. The next prime is 26729 (a gap of 6) and the one before is 26717.
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 2933rd one is 26723.
- 2
26723 is prime because no prime up to ā26723 ā 163.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2933rd prime is close to 2933 Ć ln(2933) ā 23416, and here it is 26723.
- 4
26723 has no twin: neither 26721 nor 26725 is prime.
Primes around the 2933rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2930 | 26711 | 10 |
| 2931 | 26713 | 2 |
| 2932 | 26717 | 4 |
| 2933 | 26723 | 6 |
| 2934 | 26729 | 6 |
| 2935 | 26731 | 2 |
| 2936 | 26737 | 6 |
Questions
What is the 2933rd prime number?
26723.
Which prime number is 26723?
26723 is the 2933rd prime number.
What is the sum of the first 2933 primes?
36,831,298.