What is the 2780th prime number?
The 2780th prime number is 25183. The next prime is 25189 (a gap of 6) and the one before is 25171.
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 2780th one is 25183.
- 2
25183 is prime because no prime up to ā25183 ā 158.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2780th prime is close to 2780 Ć ln(2780) ā 22046, and here it is 25183.
- 4
25183 has no twin: neither 25181 nor 25185 is prime.
Primes around the 2780th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2777 | 25163 | 10 |
| 2778 | 25169 | 6 |
| 2779 | 25171 | 2 |
| 2780 | 25183 | 12 |
| 2781 | 25189 | 6 |
| 2782 | 25219 | 30 |
| 2783 | 25229 | 10 |
Questions
What is the 2780th prime number?
25183.
Which prime number is 25183?
25183 is the 2780th prime number.
What is the sum of the first 2780 primes?
32,857,607.