What is the 4532nd prime number?
The 4532nd prime number is 43481. The next prime is 43487 (a gap of 6) and the one before is 43457.
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 4532nd one is 43481.
- 2
43481 is prime because no prime up to ā43481 ā 208.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4532nd prime is close to 4532 Ć ln(4532) ā 38155, and here it is 43481.
- 4
43481 has no twin: neither 43479 nor 43483 is prime.
Primes around the 4532nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4529 | 43441 | 14 |
| 4530 | 43451 | 10 |
| 4531 | 43457 | 6 |
| 4532 | 43481 | 24 |
| 4533 | 43487 | 6 |
| 4534 | 43499 | 12 |
| 4535 | 43517 | 18 |
Questions
What is the 4532nd prime number?
43481.
Which prime number is 43481?
43481 is the 4532nd prime number.
What is the sum of the first 4532 primes?
92,905,197.