What is the 4531st prime number?
The 4531st prime number is 43457. The next prime is 43481 (a gap of 24) and the one before is 43451.
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 4531st one is 43457.
- 2
43457 is prime because no prime up to ā43457 ā 208.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4531st prime is close to 4531 Ć ln(4531) ā 38145, and here it is 43457.
- 4
43457 has no twin: neither 43455 nor 43459 is prime.
Primes around the 4531st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4528 | 43427 | 16 |
| 4529 | 43441 | 14 |
| 4530 | 43451 | 10 |
| 4531 | 43457 | 6 |
| 4532 | 43481 | 24 |
| 4533 | 43487 | 6 |
| 4534 | 43499 | 12 |
Questions
What is the 4531st prime number?
43457.
Which prime number is 43457?
43457 is the 4531st prime number.
What is the sum of the first 4531 primes?
92,861,716.