What is the 2873rd prime number?
The 2873rd prime number is 26141. The next prime is 26153 (a gap of 12) and the one before is 26119.
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 2873rd one is 26141.
- 2
26141 is prime because no prime up to ā26141 ā 161.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2873rd prime is close to 2873 Ć ln(2873) ā 22878, and here it is 26141.
- 4
26141 has no twin: neither 26139 nor 26143 is prime.
Primes around the 2873rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2870 | 26111 | 4 |
| 2871 | 26113 | 2 |
| 2872 | 26119 | 6 |
| 2873 | 26141 | 22 |
| 2874 | 26153 | 12 |
| 2875 | 26161 | 8 |
| 2876 | 26171 | 10 |
Questions
What is the 2873rd prime number?
26141.
Which prime number is 26141?
26141 is the 2873rd prime number.
What is the sum of the first 2873 primes?
35,244,822.