What is the 2642nd prime number?
The 2642nd prime number is 23753. The next prime is 23761 (a gap of 8) and the one before is 23747.
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 2642nd one is 23753.
- 2
23753 is prime because no prime up to ā23753 ā 154.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2642nd prime is close to 2642 Ć ln(2642) ā 20817, and here it is 23753.
- 4
23753 has no twin: neither 23751 nor 23755 is prime.
Primes around the 2642nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2639 | 23741 | 22 |
| 2640 | 23743 | 2 |
| 2641 | 23747 | 4 |
| 2642 | 23753 | 6 |
| 2643 | 23761 | 8 |
| 2644 | 23767 | 6 |
| 2645 | 23773 | 6 |
Questions
What is the 2642nd prime number?
23753.
Which prime number is 23753?
23753 is the 2642nd prime number.
What is the sum of the first 2642 primes?
29,484,033.