What is the 2866th prime number?
The 2866th prime number is 26053. The next prime is 26083 (a gap of 30) and the one before is 26041.
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 2866th one is 26053.
- 2
26053 is prime because no prime up to ā26053 ā 161.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2866th prime is close to 2866 Ć ln(2866) ā 22815, and here it is 26053.
- 4
26053 has no twin: neither 26051 nor 26055 is prime.
Primes around the 2866th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2863 | 26021 | 4 |
| 2864 | 26029 | 8 |
| 2865 | 26041 | 12 |
| 2866 | 26053 | 12 |
| 2867 | 26083 | 30 |
| 2868 | 26099 | 16 |
| 2869 | 26107 | 8 |
Questions
What is the 2866th prime number?
26053.
Which prime number is 26053?
26053 is the 2866th prime number.
What is the sum of the first 2866 primes?
35,062,049.