What is the 2894th prime number?
The 2894th prime number is 26339. The next prime is 26347 (a gap of 8) and the one before is 26321.
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 2894th one is 26339.
- 2
26339 is prime because no prime up to ā26339 ā 162.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2894th prime is close to 2894 Ć ln(2894) ā 23066, and here it is 26339.
- 4
26339 has no twin: neither 26337 nor 26341 is prime.
Primes around the 2894th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2891 | 26309 | 12 |
| 2892 | 26317 | 8 |
| 2893 | 26321 | 4 |
| 2894 | 26339 | 18 |
| 2895 | 26347 | 8 |
| 2896 | 26357 | 10 |
| 2897 | 26371 | 14 |
Questions
What is the 2894th prime number?
26339.
Which prime number is 26339?
26339 is the 2894th prime number.
What is the sum of the first 2894 primes?
35,795,899.