What is the 2893rd prime number?
The 2893rd prime number is 26321. The next prime is 26339 (a gap of 18) and the one before is 26317.
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 2893rd one is 26321.
- 2
26321 is prime because no prime up to ā26321 ā 162.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2893rd prime is close to 2893 Ć ln(2893) ā 23057, and here it is 26321.
- 4
26321 has no twin: neither 26319 nor 26323 is prime.
Primes around the 2893rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2890 | 26297 | 4 |
| 2891 | 26309 | 12 |
| 2892 | 26317 | 8 |
| 2893 | 26321 | 4 |
| 2894 | 26339 | 18 |
| 2895 | 26347 | 8 |
| 2896 | 26357 | 10 |
Questions
What is the 2893rd prime number?
26321.
Which prime number is 26321?
26321 is the 2893rd prime number.
What is the sum of the first 2893 primes?
35,769,560.