What is the 4642nd prime number?
The 4642nd prime number is 44651. The next prime is 44657 (a gap of 6) and the one before is 44647.
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 4642nd one is 44651.
- 2
44651 is prime because no prime up to ā44651 ā 211.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4642nd prime is close to 4642 Ć ln(4642) ā 39192, and here it is 44651.
- 4
44651 has no twin: neither 44649 nor 44653 is prime.
Primes around the 4642nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4639 | 44633 | 10 |
| 4640 | 44641 | 8 |
| 4641 | 44647 | 6 |
| 4642 | 44651 | 4 |
| 4643 | 44657 | 6 |
| 4644 | 44683 | 26 |
| 4645 | 44687 | 4 |
Questions
What is the 4642nd prime number?
44651.
Which prime number is 44651?
44651 is the 4642nd prime number.
What is the sum of the first 4642 primes?
97,753,937.