What is the 2876th prime number?
The 2876th prime number is 26171. The next prime is 26177 (a gap of 6) and the one before is 26161.
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 2876th one is 26171.
- 2
26171 is prime because no prime up to ā26171 ā 161.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2876th prime is close to 2876 Ć ln(2876) ā 22905, and here it is 26171.
- 4
26171 has no twin: neither 26169 nor 26173 is prime.
Primes around the 2876th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2873 | 26141 | 22 |
| 2874 | 26153 | 12 |
| 2875 | 26161 | 8 |
| 2876 | 26171 | 10 |
| 2877 | 26177 | 6 |
| 2878 | 26183 | 6 |
| 2879 | 26189 | 6 |
Questions
What is the 2876th prime number?
26171.
Which prime number is 26171?
26171 is the 2876th prime number.
What is the sum of the first 2876 primes?
35,323,307.