What is the 642nd prime number?
The 642nd prime number is 4783. The next prime is 4787 (a gap of 4) and the one before is 4759.
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 642nd one is 4783.
- 2
4783 is prime because no prime up to ā4783 ā 69.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 642nd prime is close to 642 Ć ln(642) ā 4150, and here it is 4783.
- 4
4783 has no twin: neither 4781 nor 4785 is prime.
Primes around the 642nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 639 | 4733 | 4 |
| 640 | 4751 | 18 |
| 641 | 4759 | 8 |
| 642 | 4783 | 24 |
| 643 | 4787 | 4 |
| 644 | 4789 | 2 |
| 645 | 4793 | 4 |
Questions
What is the 642nd prime number?
4783.
Which prime number is 4783?
4783 is the 642nd prime number.
What is the sum of the first 642 primes?
1,415,937.