What is the 2883rd prime number?
The 2883rd prime number is 26237. The next prime is 26249 (a gap of 12) and the one before is 26227.
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 2883rd one is 26237.
- 2
26237 is prime because no prime up to ā26237 ā 161.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2883rd prime is close to 2883 Ć ln(2883) ā 22968, and here it is 26237.
- 4
26237 has no twin: neither 26235 nor 26239 is prime.
Primes around the 2883rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2880 | 26203 | 14 |
| 2881 | 26209 | 6 |
| 2882 | 26227 | 18 |
| 2883 | 26237 | 10 |
| 2884 | 26249 | 12 |
| 2885 | 26251 | 2 |
| 2886 | 26261 | 10 |
Questions
What is the 2883rd prime number?
26237.
Which prime number is 26237?
26237 is the 2883rd prime number.
What is the sum of the first 2883 primes?
35,506,732.