What is the 4529th prime number?
The 4529th prime number is 43441. The next prime is 43451 (a gap of 10) and the one before is 43427.
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 4529th one is 43441.
- 2
43441 is prime because no prime up to ā43441 ā 208.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4529th prime is close to 4529 Ć ln(4529) ā 38126, and here it is 43441.
- 4
43441 has no twin: neither 43439 nor 43443 is prime.
Primes around the 4529th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4526 | 43403 | 4 |
| 4527 | 43411 | 8 |
| 4528 | 43427 | 16 |
| 4529 | 43441 | 14 |
| 4530 | 43451 | 10 |
| 4531 | 43457 | 6 |
| 4532 | 43481 | 24 |
Questions
What is the 4529th prime number?
43441.
Which prime number is 43441?
43441 is the 4529th prime number.
What is the sum of the first 4529 primes?
92,774,808.