What is the 2525th prime number?
The 2525th prime number is 22613. The next prime is 22619 (a gap of 6) and the one before is 22573.
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 2525th one is 22613.
- 2
22613 is prime because no prime up to ā22613 ā 150.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2525th prime is close to 2525 Ć ln(2525) ā 19781, and here it is 22613.
- 4
22613 has no twin: neither 22611 nor 22615 is prime.
Primes around the 2525th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2522 | 22567 | 18 |
| 2523 | 22571 | 4 |
| 2524 | 22573 | 2 |
| 2525 | 22613 | 40 |
| 2526 | 22619 | 6 |
| 2527 | 22621 | 2 |
| 2528 | 22637 | 16 |
Questions
What is the 2525th prime number?
22613.
Which prime number is 22613?
22613 is the 2525th prime number.
What is the sum of the first 2525 primes?
26,772,738.