What is the 2869th prime number?
The 2869th prime number is 26107. The next prime is 26111 (a gap of 4) and the one before is 26099.
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 2869th one is 26107.
- 2
26107 is prime because no prime up to ā26107 ā 161.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2869th prime is close to 2869 Ć ln(2869) ā 22842, and here it is 26107.
- 4
26107 has no twin: neither 26105 nor 26109 is prime.
Primes around the 2869th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2866 | 26053 | 12 |
| 2867 | 26083 | 30 |
| 2868 | 26099 | 16 |
| 2869 | 26107 | 8 |
| 2870 | 26111 | 4 |
| 2871 | 26113 | 2 |
| 2872 | 26119 | 6 |
Questions
What is the 2869th prime number?
26107.
Which prime number is 26107?
26107 is the 2869th prime number.
What is the sum of the first 2869 primes?
35,140,338.