What is the 2896th prime number?
The 2896th prime number is 26357. The next prime is 26371 (a gap of 14) and the one before is 26347.
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 2896th one is 26357.
- 2
26357 is prime because no prime up to ā26357 ā 162.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2896th prime is close to 2896 Ć ln(2896) ā 23084, and here it is 26357.
- 4
26357 has no twin: neither 26355 nor 26359 is prime.
Primes around the 2896th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2893 | 26321 | 4 |
| 2894 | 26339 | 18 |
| 2895 | 26347 | 8 |
| 2896 | 26357 | 10 |
| 2897 | 26371 | 14 |
| 2898 | 26387 | 16 |
| 2899 | 26393 | 6 |
Questions
What is the 2896th prime number?
26357.
Which prime number is 26357?
26357 is the 2896th prime number.
What is the sum of the first 2896 primes?
35,848,603.