What is the 2784th prime number?
The 2784th prime number is 25237. The next prime is 25243 (a gap of 6) and the one before is 25229.
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 2784th one is 25237.
- 2
25237 is prime because no prime up to ā25237 ā 158.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2784th prime is close to 2784 Ć ln(2784) ā 22082, and here it is 25237.
- 4
25237 has no twin: neither 25235 nor 25239 is prime.
Primes around the 2784th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2781 | 25189 | 6 |
| 2782 | 25219 | 30 |
| 2783 | 25229 | 10 |
| 2784 | 25237 | 8 |
| 2785 | 25243 | 6 |
| 2786 | 25247 | 4 |
| 2787 | 25253 | 6 |
Questions
What is the 2784th prime number?
25237.
Which prime number is 25237?
25237 is the 2784th prime number.
What is the sum of the first 2784 primes?
32,958,481.