What is the 2871st prime number?
The 2871st prime number is 26113. The next prime is 26119 (a gap of 6) and the one before is 26111.
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 2871st one is 26113.
- 2
26113 is prime because no prime up to ā26113 ā 161.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2871st prime is close to 2871 Ć ln(2871) ā 22860, and here it is 26113.
- 4
26113 is a twin prime: 26111 and 26113 are both prime.
Primes around the 2871st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2868 | 26099 | 16 |
| 2869 | 26107 | 8 |
| 2870 | 26111 | 4 |
| 2871 | 26113 | 2 |
| 2872 | 26119 | 6 |
| 2873 | 26141 | 22 |
| 2874 | 26153 | 12 |
Questions
What is the 2871st prime number?
26113.
Which prime number is 26113?
26113 is the 2871st prime number.
What is the sum of the first 2871 primes?
35,192,562.