What is the 2887th prime number?
The 2887th prime number is 26263. The next prime is 26267 (a gap of 4) and the one before is 26261.
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 2887th one is 26263.
- 2
26263 is prime because no prime up to ā26263 ā 162.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2887th prime is close to 2887 Ć ln(2887) ā 23004, and here it is 26263.
- 4
26263 is a twin prime: 26261 and 26263 are both prime.
Primes around the 2887th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2884 | 26249 | 12 |
| 2885 | 26251 | 2 |
| 2886 | 26261 | 10 |
| 2887 | 26263 | 2 |
| 2888 | 26267 | 4 |
| 2889 | 26293 | 26 |
| 2890 | 26297 | 4 |
Questions
What is the 2887th prime number?
26263.
Which prime number is 26263?
26263 is the 2887th prime number.
What is the sum of the first 2887 primes?
35,611,756.