What is the 2782nd prime number?
The 2782nd prime number is 25219. The next prime is 25229 (a gap of 10) and the one before is 25189.
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 2782nd one is 25219.
- 2
25219 is prime because no prime up to ā25219 ā 158.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2782nd prime is close to 2782 Ć ln(2782) ā 22064, and here it is 25219.
- 4
25219 has no twin: neither 25217 nor 25221 is prime.
Primes around the 2782nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2779 | 25171 | 2 |
| 2780 | 25183 | 12 |
| 2781 | 25189 | 6 |
| 2782 | 25219 | 30 |
| 2783 | 25229 | 10 |
| 2784 | 25237 | 8 |
| 2785 | 25243 | 6 |
Questions
What is the 2782nd prime number?
25219.
Which prime number is 25219?
25219 is the 2782nd prime number.
What is the sum of the first 2782 primes?
32,908,015.