What is the 2865th prime number?
The 2865th prime number is 26041. The next prime is 26053 (a gap of 12) and the one before is 26029.
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 2865th one is 26041.
- 2
26041 is prime because no prime up to ā26041 ā 161.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2865th prime is close to 2865 Ć ln(2865) ā 22806, and here it is 26041.
- 4
26041 has no twin: neither 26039 nor 26043 is prime.
Primes around the 2865th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2862 | 26017 | 14 |
| 2863 | 26021 | 4 |
| 2864 | 26029 | 8 |
| 2865 | 26041 | 12 |
| 2866 | 26053 | 12 |
| 2867 | 26083 | 30 |
| 2868 | 26099 | 16 |
Questions
What is the 2865th prime number?
26041.
Which prime number is 26041?
26041 is the 2865th prime number.
What is the sum of the first 2865 primes?
35,035,996.