What is the 2466th prime number?
The 2466th prime number is 22013. The next prime is 22027 (a gap of 14) and the one before is 22003.
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 2466th one is 22013.
- 2
22013 is prime because no prime up to ā22013 ā 148.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2466th prime is close to 2466 Ć ln(2466) ā 19260, and here it is 22013.
- 4
22013 has no twin: neither 22011 nor 22015 is prime.
Primes around the 2466th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2463 | 21991 | 14 |
| 2464 | 21997 | 6 |
| 2465 | 22003 | 6 |
| 2466 | 22013 | 10 |
| 2467 | 22027 | 14 |
| 2468 | 22031 | 4 |
| 2469 | 22037 | 6 |
Questions
What is the 2466th prime number?
22013.
Which prime number is 22013?
22013 is the 2466th prime number.
What is the sum of the first 2466 primes?
25,457,581.