What is the 2864th prime number?
The 2864th prime number is 26029. The next prime is 26041 (a gap of 12) and the one before is 26021.
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 2864th one is 26029.
- 2
26029 is prime because no prime up to ā26029 ā 161.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2864th prime is close to 2864 Ć ln(2864) ā 22797, and here it is 26029.
- 4
26029 has no twin: neither 26027 nor 26031 is prime.
Primes around the 2864th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2861 | 26003 | 4 |
| 2862 | 26017 | 14 |
| 2863 | 26021 | 4 |
| 2864 | 26029 | 8 |
| 2865 | 26041 | 12 |
| 2866 | 26053 | 12 |
| 2867 | 26083 | 30 |
Questions
What is the 2864th prime number?
26029.
Which prime number is 26029?
26029 is the 2864th prime number.
What is the sum of the first 2864 primes?
35,009,955.