What is the 2895th prime number?
The 2895th prime number is 26347. The next prime is 26357 (a gap of 10) and the one before is 26339.
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 2895th one is 26347.
- 2
26347 is prime because no prime up to ā26347 ā 162.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2895th prime is close to 2895 Ć ln(2895) ā 23075, and here it is 26347.
- 4
26347 has no twin: neither 26345 nor 26349 is prime.
Primes around the 2895th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2892 | 26317 | 8 |
| 2893 | 26321 | 4 |
| 2894 | 26339 | 18 |
| 2895 | 26347 | 8 |
| 2896 | 26357 | 10 |
| 2897 | 26371 | 14 |
| 2898 | 26387 | 16 |
Questions
What is the 2895th prime number?
26347.
Which prime number is 26347?
26347 is the 2895th prime number.
What is the sum of the first 2895 primes?
35,822,246.