What is the 2445th prime number?
The 2445th prime number is 21799. The next prime is 21803 (a gap of 4) and the one before is 21787.
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 2445th one is 21799.
- 2
21799 is prime because no prime up to ā21799 ā 147.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2445th prime is close to 2445 Ć ln(2445) ā 19075, and here it is 21799.
- 4
21799 has no twin: neither 21797 nor 21801 is prime.
Primes around the 2445th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2442 | 21767 | 10 |
| 2443 | 21773 | 6 |
| 2444 | 21787 | 14 |
| 2445 | 21799 | 12 |
| 2446 | 21803 | 4 |
| 2447 | 21817 | 14 |
| 2448 | 21821 | 4 |
Questions
What is the 2445th prime number?
21799.
Which prime number is 21799?
21799 is the 2445th prime number.
What is the sum of the first 2445 primes?
24,997,580.