What is the 2880th prime number?
The 2880th prime number is 26203. The next prime is 26209 (a gap of 6) and the one before is 26189.
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 2880th one is 26203.
- 2
26203 is prime because no prime up to ā26203 ā 161.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2880th prime is close to 2880 Ć ln(2880) ā 22941, and here it is 26203.
- 4
26203 has no twin: neither 26201 nor 26205 is prime.
Primes around the 2880th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2877 | 26177 | 6 |
| 2878 | 26183 | 6 |
| 2879 | 26189 | 6 |
| 2880 | 26203 | 14 |
| 2881 | 26209 | 6 |
| 2882 | 26227 | 18 |
| 2883 | 26237 | 10 |
Questions
What is the 2880th prime number?
26203.
Which prime number is 26203?
26203 is the 2880th prime number.
What is the sum of the first 2880 primes?
35,428,059.