What is the 2868th prime number?
The 2868th prime number is 26099. The next prime is 26107 (a gap of 8) and the one before is 26083.
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 2868th one is 26099.
- 2
26099 is prime because no prime up to ā26099 ā 161.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2868th prime is close to 2868 Ć ln(2868) ā 22833, and here it is 26099.
- 4
26099 has no twin: neither 26097 nor 26101 is prime.
Primes around the 2868th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2865 | 26041 | 12 |
| 2866 | 26053 | 12 |
| 2867 | 26083 | 30 |
| 2868 | 26099 | 16 |
| 2869 | 26107 | 8 |
| 2870 | 26111 | 4 |
| 2871 | 26113 | 2 |
Questions
What is the 2868th prime number?
26099.
Which prime number is 26099?
26099 is the 2868th prime number.
What is the sum of the first 2868 primes?
35,114,231.