What is the 2863rd prime number?
The 2863rd prime number is 26021. The next prime is 26029 (a gap of 8) and the one before is 26017.
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 2863rd one is 26021.
- 2
26021 is prime because no prime up to ā26021 ā 161.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2863rd prime is close to 2863 Ć ln(2863) ā 22788, and here it is 26021.
- 4
26021 has no twin: neither 26019 nor 26023 is prime.
Primes around the 2863rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2860 | 25999 | 2 |
| 2861 | 26003 | 4 |
| 2862 | 26017 | 14 |
| 2863 | 26021 | 4 |
| 2864 | 26029 | 8 |
| 2865 | 26041 | 12 |
| 2866 | 26053 | 12 |
Questions
What is the 2863rd prime number?
26021.
Which prime number is 26021?
26021 is the 2863rd prime number.
What is the sum of the first 2863 primes?
34,983,926.