What is the 2872nd prime number?
The 2872nd prime number is 26119. The next prime is 26141 (a gap of 22) and the one before is 26113.
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 2872nd one is 26119.
- 2
26119 is prime because no prime up to ā26119 ā 161.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2872nd prime is close to 2872 Ć ln(2872) ā 22869, and here it is 26119.
- 4
26119 has no twin: neither 26117 nor 26121 is prime.
Primes around the 2872nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2869 | 26107 | 8 |
| 2870 | 26111 | 4 |
| 2871 | 26113 | 2 |
| 2872 | 26119 | 6 |
| 2873 | 26141 | 22 |
| 2874 | 26153 | 12 |
| 2875 | 26161 | 8 |
Questions
What is the 2872nd prime number?
26119.
Which prime number is 26119?
26119 is the 2872nd prime number.
What is the sum of the first 2872 primes?
35,218,681.