What is the 4512th prime number?
The 4512th prime number is 43207. The next prime is 43223 (a gap of 16) and the one before is 43201.
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 4512th one is 43207.
- 2
43207 is prime because no prime up to ā43207 ā 207.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4512th prime is close to 4512 Ć ln(4512) ā 37966, and here it is 43207.
- 4
43207 has no twin: neither 43205 nor 43209 is prime.
Primes around the 4512th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4509 | 43177 | 18 |
| 4510 | 43189 | 12 |
| 4511 | 43201 | 12 |
| 4512 | 43207 | 6 |
| 4513 | 43223 | 16 |
| 4514 | 43237 | 14 |
| 4515 | 43261 | 24 |
Questions
What is the 4512th prime number?
43207.
Which prime number is 43207?
43207 is the 4512th prime number.
What is the sum of the first 4512 primes?
92,038,089.