What is the 4562nd prime number?
The 4562nd prime number is 43789. The next prime is 43793 (a gap of 4) and the one before is 43787.
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 4562nd one is 43789.
- 2
43789 is prime because no prime up to ā43789 ā 209.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4562nd prime is close to 4562 Ć ln(4562) ā 38437, and here it is 43789.
- 4
43789 is a twin prime: 43787 and 43789 are both prime.
Primes around the 4562nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4559 | 43781 | 4 |
| 4560 | 43783 | 2 |
| 4561 | 43787 | 4 |
| 4562 | 43789 | 2 |
| 4563 | 43793 | 4 |
| 4564 | 43801 | 8 |
| 4565 | 43853 | 52 |
Questions
What is the 4562nd prime number?
43789.
Which prime number is 43789?
43789 is the 4562nd prime number.
What is the sum of the first 4562 primes?
94,214,689.