What is the 2851st prime number?
The 2851st prime number is 25919. The next prime is 25931 (a gap of 12) and the one before is 25913.
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 2851st one is 25919.
- 2
25919 is prime because no prime up to ā25919 ā 160.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2851st prime is close to 2851 Ć ln(2851) ā 22681, and here it is 25919.
- 4
25919 has no twin: neither 25917 nor 25921 is prime.
Primes around the 2851st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2848 | 25889 | 16 |
| 2849 | 25903 | 14 |
| 2850 | 25913 | 10 |
| 2851 | 25919 | 6 |
| 2852 | 25931 | 12 |
| 2853 | 25933 | 2 |
| 2854 | 25939 | 6 |
Questions
What is the 2851st prime number?
25919.
Which prime number is 25919?
25919 is the 2851st prime number.
What is the sum of the first 2851 primes?
34,672,242.