What is the 4536th prime number?
The 4536th prime number is 43541. The next prime is 43543 (a gap of 2) and the one before is 43517.
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 4536th one is 43541.
- 2
43541 is prime because no prime up to ā43541 ā 208.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4536th prime is close to 4536 Ć ln(4536) ā 38192, and here it is 43541.
- 4
43541 is a twin prime: 43541 and 43543 are both prime.
Primes around the 4536th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4533 | 43487 | 6 |
| 4534 | 43499 | 12 |
| 4535 | 43517 | 18 |
| 4536 | 43541 | 24 |
| 4537 | 43543 | 2 |
| 4538 | 43573 | 30 |
| 4539 | 43577 | 4 |
Questions
What is the 4536th prime number?
43541.
Which prime number is 43541?
43541 is the 4536th prime number.
What is the sum of the first 4536 primes?
93,079,241.