What is the 2862nd prime number?
The 2862nd prime number is 26017. The next prime is 26021 (a gap of 4) and the one before is 26003.
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 2862nd one is 26017.
- 2
26017 is prime because no prime up to ā26017 ā 161.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2862nd prime is close to 2862 Ć ln(2862) ā 22779, and here it is 26017.
- 4
26017 has no twin: neither 26015 nor 26019 is prime.
Primes around the 2862nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2859 | 25997 | 16 |
| 2860 | 25999 | 2 |
| 2861 | 26003 | 4 |
| 2862 | 26017 | 14 |
| 2863 | 26021 | 4 |
| 2864 | 26029 | 8 |
| 2865 | 26041 | 12 |
Questions
What is the 2862nd prime number?
26017.
Which prime number is 26017?
26017 is the 2862nd prime number.
What is the sum of the first 2862 primes?
34,957,905.