What is the 2783rd prime number?
The 2783rd prime number is 25229. The next prime is 25237 (a gap of 8) and the one before is 25219.
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 2783rd one is 25229.
- 2
25229 is prime because no prime up to ā25229 ā 158.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2783rd prime is close to 2783 Ć ln(2783) ā 22073, and here it is 25229.
- 4
25229 has no twin: neither 25227 nor 25231 is prime.
Primes around the 2783rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2780 | 25183 | 12 |
| 2781 | 25189 | 6 |
| 2782 | 25219 | 30 |
| 2783 | 25229 | 10 |
| 2784 | 25237 | 8 |
| 2785 | 25243 | 6 |
| 2786 | 25247 | 4 |
Questions
What is the 2783rd prime number?
25229.
Which prime number is 25229?
25229 is the 2783rd prime number.
What is the sum of the first 2783 primes?
32,933,244.