What is the 4542nd prime number?
The 4542nd prime number is 43597. The next prime is 43607 (a gap of 10) and the one before is 43591.
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 4542nd one is 43597.
- 2
43597 is prime because no prime up to ā43597 ā 208.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4542nd prime is close to 4542 Ć ln(4542) ā 38249, and here it is 43597.
- 4
43597 has no twin: neither 43595 nor 43599 is prime.
Primes around the 4542nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4539 | 43577 | 4 |
| 4540 | 43579 | 2 |
| 4541 | 43591 | 12 |
| 4542 | 43597 | 6 |
| 4543 | 43607 | 10 |
| 4544 | 43609 | 2 |
| 4545 | 43613 | 4 |
Questions
What is the 4542nd prime number?
43597.
Which prime number is 43597?
43597 is the 4542nd prime number.
What is the sum of the first 4542 primes?
93,340,701.