What is the 2326th prime number?
The 2326th prime number is 20639. The next prime is 20641 (a gap of 2) and the one before is 20627.
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 2326th one is 20639.
- 2
20639 is prime because no prime up to ā20639 ā 143.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2326th prime is close to 2326 Ć ln(2326) ā 18031, and here it is 20639.
- 4
20639 is a twin prime: 20639 and 20641 are both prime.
Primes around the 2326th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2323 | 20599 | 6 |
| 2324 | 20611 | 12 |
| 2325 | 20627 | 16 |
| 2326 | 20639 | 12 |
| 2327 | 20641 | 2 |
| 2328 | 20663 | 22 |
| 2329 | 20681 | 18 |
Questions
What is the 2326th prime number?
20639.
Which prime number is 20639?
20639 is the 2326th prime number.
What is the sum of the first 2326 primes?
22,470,873.