What is the 2861st prime number?
The 2861st prime number is 26003. The next prime is 26017 (a gap of 14) and the one before is 25999.
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 2861st one is 26003.
- 2
26003 is prime because no prime up to ā26003 ā 161.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2861st prime is close to 2861 Ć ln(2861) ā 22770, and here it is 26003.
- 4
26003 has no twin: neither 26001 nor 26005 is prime.
Primes around the 2861st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2858 | 25981 | 12 |
| 2859 | 25997 | 16 |
| 2860 | 25999 | 2 |
| 2861 | 26003 | 4 |
| 2862 | 26017 | 14 |
| 2863 | 26021 | 4 |
| 2864 | 26029 | 8 |
Questions
What is the 2861st prime number?
26003.
Which prime number is 26003?
26003 is the 2861st prime number.
What is the sum of the first 2861 primes?
34,931,888.