What is the 2870th prime number?
The 2870th prime number is 26111. The next prime is 26113 (a gap of 2) and the one before is 26107.
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 2870th one is 26111.
- 2
26111 is prime because no prime up to ā26111 ā 161.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2870th prime is close to 2870 Ć ln(2870) ā 22851, and here it is 26111.
- 4
26111 is a twin prime: 26111 and 26113 are both prime.
Primes around the 2870th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2867 | 26083 | 30 |
| 2868 | 26099 | 16 |
| 2869 | 26107 | 8 |
| 2870 | 26111 | 4 |
| 2871 | 26113 | 2 |
| 2872 | 26119 | 6 |
| 2873 | 26141 | 22 |
Questions
What is the 2870th prime number?
26111.
Which prime number is 26111?
26111 is the 2870th prime number.
What is the sum of the first 2870 primes?
35,166,449.