What is the 4516th prime number?
The 4516th prime number is 43271. The next prime is 43283 (a gap of 12) and the one before is 43261.
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 4516th one is 43271.
- 2
43271 is prime because no prime up to ā43271 ā 208.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4516th prime is close to 4516 Ć ln(4516) ā 38004, and here it is 43271.
- 4
43271 has no twin: neither 43269 nor 43273 is prime.
Primes around the 4516th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4513 | 43223 | 16 |
| 4514 | 43237 | 14 |
| 4515 | 43261 | 24 |
| 4516 | 43271 | 10 |
| 4517 | 43283 | 12 |
| 4518 | 43291 | 8 |
| 4519 | 43313 | 22 |
Questions
What is the 4516th prime number?
43271.
Which prime number is 43271?
43271 is the 4516th prime number.
What is the sum of the first 4516 primes?
92,211,081.