What is the 2867th prime number?
The 2867th prime number is 26083. The next prime is 26099 (a gap of 16) and the one before is 26053.
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 2867th one is 26083.
- 2
26083 is prime because no prime up to ā26083 ā 161.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2867th prime is close to 2867 Ć ln(2867) ā 22824, and here it is 26083.
- 4
26083 has no twin: neither 26081 nor 26085 is prime.
Primes around the 2867th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2864 | 26029 | 8 |
| 2865 | 26041 | 12 |
| 2866 | 26053 | 12 |
| 2867 | 26083 | 30 |
| 2868 | 26099 | 16 |
| 2869 | 26107 | 8 |
| 2870 | 26111 | 4 |
Questions
What is the 2867th prime number?
26083.
Which prime number is 26083?
26083 is the 2867th prime number.
What is the sum of the first 2867 primes?
35,088,132.