What is the 2874th prime number?
The 2874th prime number is 26153. The next prime is 26161 (a gap of 8) and the one before is 26141.
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 2874th one is 26153.
- 2
26153 is prime because no prime up to ā26153 ā 161.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2874th prime is close to 2874 Ć ln(2874) ā 22887, and here it is 26153.
- 4
26153 has no twin: neither 26151 nor 26155 is prime.
Primes around the 2874th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2871 | 26113 | 2 |
| 2872 | 26119 | 6 |
| 2873 | 26141 | 22 |
| 2874 | 26153 | 12 |
| 2875 | 26161 | 8 |
| 2876 | 26171 | 10 |
| 2877 | 26177 | 6 |
Questions
What is the 2874th prime number?
26153.
Which prime number is 26153?
26153 is the 2874th prime number.
What is the sum of the first 2874 primes?
35,270,975.